California Institute Of Technology (Caltech) is a quarter college located in Pasadena, California. At Caltech, students can major in a broad variety of subjects ranging from Neuroscience to Geochemistry and earn undergraduate as well as post-graduate degrees.
Online study resources available anywhere, at any time
High-quality Study Documents, expert Tutors and Flashcards
Everything you need to learn more effectively and succeed
|
|
We are not endorsed by this school |
- Course Hero has verified this tag with the official school catalog
We are sorry, there are no listings for the current search parameters.
School: Caltech
Problem Set 2 ACM 116, Fall 2012 Assigned 9 October 2012. Due to Steele House by 4 pm on 16 October 2012. This assignment covers aspects of axiomatic probability, discrete and continuous random variables, expectation, and independence. This material shoul
School: Caltech
Course: Electricity And Relativity
Ph1b Analytic Quiz 1 Solution Chefung Chan (cchan@caltech.edu), Winter 2008 Problem 1 (10 points) A rocket ship of length L (as measured in its own rest frame) moves with velocity v along the + direction as observed in the laboratory frame. At time t = t
School: Caltech
Course: ACM95a
Problem Set 2 Solutions ACM 95a/100a October 12, 2012 Faisal Amlani (famlani@gmail.com) Total: 112 points (2 for grading section) Problem 1 (27 points) Evaluate and plot the following in the complex plane: a) (cos i)i , b) arctan(1 + i) Solution 1 For thi
School: Caltech
Course: ACM95a
Problem Set 2 October 12, 2012 ACM 95a/100a Niles A. Pierce Due October 19, 2012 3pm in Steele House dropbox (2 pts) Include grading section number 1. (27 pts) Evaluate and plot the following in the complex plane: a) (cos i)i , b) arctan(1 + i) 2. (12 pts
School: Caltech
ACM/EE 116: Homework #3 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Decay). (a) Take the random variable X distributed as a Pareto with scale 1 and tail parameter . We have the cdf FX (x) = P(X x) = 1 x , Since X is nonnegative the tail function for
School: Caltech
ACM 95/100c Problem Set 2 Solutions Faisal Amlani, faisal@caltech.edu April 17, 2012 Problem 1 (25 points) Consider the function given by f (x) = (1 - x2 /L2 ) 0 < x < L. (a) Develop the Fourier sine series over the interval 0 < x < L. (b) Develop the Fou
School: Caltech
Course: ACM95a
ACM 95a/100a Notes Eric Tai January 25, 2007 Contents 1 Complex Variables 1.1 Polar Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Eulers Formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
School: Caltech
Course: Calculus Of One And Several Variables
1 The Real Number System The rational numbers are beautiful, but are not big enough for various purposes, and the set R of real numbers was constructed in the late nineteenth century, as a kind of an envelope of Q. (More later on this.) For a nonconstruct
School: Caltech
Here is the Atheneum from the southwest, as it might be viewed from one of the student's residences. This is our final lecture and it gives us a chance to wrap up some of the concepts we've introduced to show you where we need a lot more data. And to int
School: Caltech
Hi there we're going to talk about several additional topics before we go on to talk about drugs for schizophrenia. So in this lecture we'll discuss non genetic contributions to schizophrenia. We'll discuss biomarkers and we'll discuss animals models for
School: Caltech
Hello, were back talking about drugs and molecules, rather than about personalities, in the context of bi-polar disorder. In terms of therapeutic approaches to bi-polar disorder, A very important statement is that many bipolar patients avoid therapy or r
School: Caltech
. Today, we are going to talk about Schizophrenia. It's the last of the major neuroscience diseases that we will discuss. We're going to follow our usual procedure of discussing first, the clinical description. Then, what we know about the genetics. Then
School: Caltech
Disney (Walt) Co. (The) (NYS: DIS) Financial Highlights as of 09/28/2013 in USD Income Statement Total Revenue EBITDA Operating Income Net Income Revenue per Share EPS from Continuing Operations EPS - Net Income - Diluted Share Outstanding Weighted Averag
School: Caltech
Course: Management Of Technology
Overviev Electrical Drive Systems 324 1 Industrial Motor Control Dr. P.J Randewijk Stellenbosch University Dep. of Electrical & Electronic Engineering Stephan J. Chapman Chapter 6.8 (5th Edition) Industrial Motor Control Introduction Switch Gear Industria
School: Caltech
Course: Management Of Technology
2.6 & 2.10 The Per-Unit System The per-unit system gives us an indication as to what the power (active, reactive or apparent), the voltage and the current is Electrical Drive Systems 324 The Per-Unit System with respect to the transformers (or electrical
School: Caltech
Course: Management Of Technology
Outline Electrical Drive Systems 324 Synchronous Motors 1 Dr. P.J Randewijk Stellenbosch University Dep. of Electrical & Electronic Engineering Chapman, Chapter 5 5.1 Basic Principles of Motor Operation 5.2 Steady-State Synchronous Motor Operation 5.3 Sta
School: Caltech
Course: Asian History
Steve Xu Writing Assignment #9 (Rewrite) Comparative Essay on Kelly and Thompson The Huns were a group of nomadic people who around 370 CE migrated into the East European steppes and built up a vast empire based in the Hungarian Plains. They formed a powe
School: Caltech
Course: Asian History
Steve Xu Assignment #6 Final Response Paper I was first introduced to the word Huns after watching the Disney movie Mulan in my childhood years. Incorporating catchy tunes and an old-fashioned story line with a happy ending, Mulan was made for entertainme
School: Caltech
Bi114 Midterm Exam NAME:_ Due Tuesday, February 8, 2011 at 5pm Please return the completed exam to 275 Church (Sarkis Mazmanians office) no later than 5pm. Please make sure to hand the exam to Sarkis directly. If I am not in the office, please deliver the
School: Caltech
Course: CS 21
CS 21 Decidability and Tractability Winter 2012 Final Exam Solutions Posted: March 16 If you have not turned in the nal, obviously you should not consult these solutions. 1. (a) First, the problem is in PSPACE, for the usual reason for 2-player games. Giv
School: Caltech
Course: Decidability And Tractability
CS 21 Decidability and Tractability Winter 2013 Midterm Out: February 6 Due: February 13 This is a midterm. You may consult only the course notes and the text (Sipser). You may not collaborate. The full honor code guidelines can be found in the course syl
School: Caltech
1.) The backbone of the species [C2H5FNO2S2]+ is sketched below. The sketch shows only the connectivity of the atoms. It does not imply anything about the molecules shape. O O F H S H C H p l an a r t ri an g u la r b en t N H O O S p la n ar tr ian g u l
School: Caltech
Course: Waves & Quantum Mechanics
P h002a, F all 2 008 Quiz 2 Due: 2 8 O ctober 2 008 A string with length tr, tension ?, and mass per unit length p is fixed at both e nds. 1. What is the angular frequency ir.rrof the fundamental mode (n: I)? 11p ointl 2. Write down the most generalseries
School: Caltech
Course: Decidability And Tractability
CS 21 Decidability and Tractability Winter 2013 Final Out: March 13 Due: March 20, noon This is a nal exam. You may consult only the course notes and the text (Sipser). You may not collaborate. The full honor code guidelines can be found in the course syl
School: Caltech
Problem Set 2 ACM 116, Fall 2012 Assigned 9 October 2012. Due to Steele House by 4 pm on 16 October 2012. This assignment covers aspects of axiomatic probability, discrete and continuous random variables, expectation, and independence. This material shoul
School: Caltech
ACM/EE 116: Homework #3 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Decay). (a) Take the random variable X distributed as a Pareto with scale 1 and tail parameter . We have the cdf FX (x) = P(X x) = 1 x , Since X is nonnegative the tail function for
School: Caltech
Problem Set 6 ACM 116, Fall 2012 Assigned 13 November 2012. Due to Steele House by 4 pm on 20 November 2012. This assignment covers probability generating functions and branching processes. Starred problems are optional; see the syllabus for details. Doub
School: Caltech
ACM/EE 116: Homework #2 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Field of Dreams). (a) To show that Both F F G G and is a -eld, we show that For any countable set of events cfw_Ai i=1 in since they are For the event c A F G. . contain the imposs
School: Caltech
Course: Electricity And Relativity
Ph1b (analytic track): Solution to Homework 7 Chefung Chan, Winter 2008 Problem 3-3 ( 5 points ) Using Eqs.8 and 9, p.100 Purcell, we determine R so that half of Q, the induced charge on the plane, is contained within the circle of radius R: Q = 2 = 0 R
School: Caltech
MS/EST 143, Problem Set #4 assigned 04/18/11 due 04/22/11 1. Construct the Brouwer diagram for a pure binary oxide M2O, where M is a 1+ cation, for which, at the temperature of interest, the predominant defects are Schottky vacancies. Frenkel defects are
School: Caltech
Bank of America Corp. (NYS: BAC) Issue: Bank of America Corp. (NYS:BAC) Date: From 02/28/1994 to 02/28/2014 Frequency: monthly Adjusted Prices Historical Pricing Date Open High Low Close Volume 02/28/2014 01/31/2014 12/31/2013 11/29/2013 10/31/2013 09/30/
School: Caltech
Course: Introduction To Quantum Physics
Physics 12b 3-Dimensional Quantum Physics 3 6 98 These plots were produced using the IQ program from the book Quantum Mechanics on the Macintosh" by Siegmund Brandt and Hans Dieter Dahmen Springer Verlag, 1991. All the relevant mathematics is in Libo , se
School: Caltech
Course: Computer Language Shop
C track: assignment 5 Goals In this assignment you will write a program to simulate a simple one-dimensional cellular automaton, which are related to (but are not the same as) two-dimensional cellular automata like Conway's game of Life. We will use this
School: Caltech
Course: Computer Language Shop
C track: assignment 8: Implementing a virtual machine Goals This lab is the last assignment in this track. By now you know almost all the important aspects of the C language, with the exception of a few features like function pointers which aren't really
School: Caltech
Course: Computer Language Shop
C track: assignment 7 Goals This week, we are going to move beyond a discussion of built-in features of the C language (we've covered most of them already) and continue discussing how to implement fundamental data structures in C. The data structure we wi
School: Caltech
Course: Computer Language Shop
C track: assignment 6 Goals In this assignment you will write a sorting program similar to the program from lab 3, except that it uses linked lists instead of arrays to hold the list of numbers read in off the command line. In the process, you will learn
School: Caltech
Course: Relativistic Quantum Mechanics
Chapter 2 Lie Groups A Lie Group is a group which is also a manifold, thus there is a small neighborhood around the identity which looks like a piece of RN , where N is the dimension of the group. The coordinate unit vector Ta are the elements of the Lie
School: Caltech
Course: Relativistic Quantum Mechanics
Time evolution in the Fourier expansion of the Klein-Gordon eld A question was asked in lecture on 10/15 regarding the time evolution of the possible solutions to the Klein-Gordon equation. In particular, we had the following representation of the eld in
School: Caltech
Course: Management Of Technology
Objective To learn to determine the saturation characteristics, the core losses, and the equivalent circuit parameters of a single-phase transformer. Procedure Part 1: Figure 1: Open Circuit One-Phase Transformer Connect the circuit shown in Figure 1, and
School: Caltech
Course: Management Of Technology
Outline Electrical Drive Systems 324 AC Machinery Fundamentals 1 Dr. P.J Randewijk Stellenbosch University Dep. of Electrical & Electronic Engineering Chapter 3 AC Machinery Fundamentals 3.2 AC Machinery Fundamentals 3.3 MMF & Flux distribution on AC Mach
School: Caltech
Course: Electromagnetic Engineering
EE 151 Electromagnetic Engineering CALIFORNIA INSTITUTE OF TECHNOLOGY DEPARTMENT OF ELECTRICAL ENGINEERING EE 151 Electromagnetic Engineering Spring 2005 _ Announcements You can pick up the graded final exam in the box outside room 238
School: Caltech
Wal-Mart Stores, Inc. (NYS: WMT) General Company Information Principal Office 702 S.W. 8th Street Bentonville, AR 72716 USA Website www.walmart.com Phone 479 273-4000 Primary NAICS 452990 : All Other General Merchandise Stores Auditor Ernst & Young LLP Cl
School: Caltech
Bank of America Corp. (NYS: BAC) Issue: Bank of America Corp. (NYS:BAC) Date: From 02/28/1994 to 02/28/2014 Frequency: monthly Adjusted Prices Historical Pricing Date Open High Low Close Volume 02/28/2014 01/31/2014 12/31/2013 11/29/2013 10/31/2013 09/30/
School: Caltech
Fall 2013 Syllabus CS/EC 133: Electricity Markets Meets Wednesday- Friday: 1- 230 pm in Baxter 25. Instructor: John Ledyard Office: Baxter 102, x8482, Email: jledyard@caltech.edu, Office Hours:
School: Caltech
BEM 109 Spring 2013 Fixed Income and Credit Risk Derivatives Instructor: Jianfeng Zhang, 207 Baxter, Tel: 626-395-4558, Email: jzhang2@caltech.edu Time and location: Th 6:00pm - 9:00pm, 127 Baxter. Oce hours: Th 4:30pm - 6:00pm, 207 Baxter Textbooks (requ
School: Caltech
Course: Decidability And Tractability
CS21: Decidability and Tractability course information and tentative schedule Catalog description: This course introduces the formal foundations of computer science, the fundamental limits of computation, and the limits of ecient computation. Topics will
School: Caltech
Problem Set 2 ACM 116, Fall 2012 Assigned 9 October 2012. Due to Steele House by 4 pm on 16 October 2012. This assignment covers aspects of axiomatic probability, discrete and continuous random variables, expectation, and independence. This material shoul
School: Caltech
Course: Electricity And Relativity
Ph1b Analytic Quiz 1 Solution Chefung Chan (cchan@caltech.edu), Winter 2008 Problem 1 (10 points) A rocket ship of length L (as measured in its own rest frame) moves with velocity v along the + direction as observed in the laboratory frame. At time t = t
School: Caltech
Course: ACM95a
Problem Set 2 Solutions ACM 95a/100a October 12, 2012 Faisal Amlani (famlani@gmail.com) Total: 112 points (2 for grading section) Problem 1 (27 points) Evaluate and plot the following in the complex plane: a) (cos i)i , b) arctan(1 + i) Solution 1 For thi
School: Caltech
Course: ACM95a
Problem Set 2 October 12, 2012 ACM 95a/100a Niles A. Pierce Due October 19, 2012 3pm in Steele House dropbox (2 pts) Include grading section number 1. (27 pts) Evaluate and plot the following in the complex plane: a) (cos i)i , b) arctan(1 + i) 2. (12 pts
School: Caltech
ACM/EE 116: Homework #3 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Decay). (a) Take the random variable X distributed as a Pareto with scale 1 and tail parameter . We have the cdf FX (x) = P(X x) = 1 x , Since X is nonnegative the tail function for
School: Caltech
ACM 95/100c Problem Set 2 Solutions Faisal Amlani, faisal@caltech.edu April 17, 2012 Problem 1 (25 points) Consider the function given by f (x) = (1 - x2 /L2 ) 0 < x < L. (a) Develop the Fourier sine series over the interval 0 < x < L. (b) Develop the Fou
School: Caltech
PS3 Answer Key Problem 1. Synaptic integration (1.5 points) A. (0.9 point) Inhibition Many inhibitory synapses in the CNS utilize GABAA and glycine receptors. Both GABAA and glycine receptor channels are permeable to Cl- ions. Calculate the Nernst potenti
School: Caltech
Problem Set 6 ACM 116, Fall 2012 Assigned 13 November 2012. Due to Steele House by 4 pm on 20 November 2012. This assignment covers probability generating functions and branching processes. Starred problems are optional; see the syllabus for details. Doub
School: Caltech
ACM/EE 116: Homework #2 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Field of Dreams). (a) To show that Both F F G G and is a -eld, we show that For any countable set of events cfw_Ai i=1 in since they are For the event c A F G. . contain the imposs
School: Caltech
Course: General Chemistry
Name Section Rec TA Side 1 of 4 Ch 1b, Problem Set Six Due Friday, Feb. 18, 2011 at 4 PM PST in the Drop Box 1. Buffer Solutions (21 points) An aqueous buffer is prepared by dissolving 0.13 mol of sodium sulfanilate (NaNH2C6H4SO3) into 1.00 L of 0.20 M su
School: Caltech
Course: ACM95a
Problem Set 1 Solutions ACM 95a/100a October 10, 2008 Faisal Amlani (faisal@caltech.edu) Total: 105 points (5 for grading section) Problem 1 (25 points) Suppose z = x + iy with x, y and write the following in the form a + ib where a, b : a) z+z , 1+z b) (
School: Caltech
Course: Electricity And Relativity
Ph1b (analytic track): Solution to Homework 7 Chefung Chan, Winter 2008 Problem 3-3 ( 5 points ) Using Eqs.8 and 9, p.100 Purcell, we determine R so that half of Q, the induced charge on the plane, is contained within the circle of radius R: Q = 2 = 0 R
School: Caltech
Alex D A solution to problem 1. The continuity theorem says that Xn X if the characteristic functions n of Xn converge pointwise to X , the characteristic function of X. From the back of Grimmett and Stirzaker, we nd that n n (t) = 1 + eit nn and X (t) =
School: Caltech
Course: ACM95a
Problem Set 2 October 10, 2008 ACM 95a/100a Niles A. Pierce Due October 17, 2008 3pm in Firestone 303 (2 pts) Include grading section number 1. (27 pts) Evaluate and plot the following in the complex plane: a) (cos i)i , b) arctan(1 + i) 2. (12 pts) Ident
School: Caltech
Course: Electricity And Relativity
Ph1b Analytic Quiz 4 Solution Chefung Chan, Winter 2008 Problem 1 (10 points total) Solution: We know E = dV , therefore we have, dx 24 13 ab 13 24 EII = b 24 13 EIII = ab EI = 1 The diagram shows a cross-sectional view of 4 identical conducting plates
School: Caltech
Course: ACM95a
ACM 95a/100a Notes Eric Tai January 25, 2007 Contents 1 Complex Variables 1.1 Polar Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Eulers Formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
School: Caltech
Course: ACM95a
Problem Set 4 October 26, 2012 ACM 95a/100a Niles A. Pierce Due November 2, 2012 3pm in Steele House Drop Box (2 pts) Include grading section number 1. (10 pts) Consider the function f (z ) = z 1/2 = rei/2 , /2 < < 3/2 and the contour C corresponding to
School: Caltech
MS/EST 143, Problem Set #4 assigned 04/18/11 due 04/22/11 1. Construct the Brouwer diagram for a pure binary oxide M2O, where M is a 1+ cation, for which, at the temperature of interest, the predominant defects are Schottky vacancies. Frenkel defects are
School: Caltech
ACM/EE 116: Homework #6 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Flounder). (a) Let X denote the number of listeners resulting from a single listener's actions in a given month. This fan will stop listening to Flounder (independent of other fans)
School: Caltech
ACM/EE 116: Homework #5 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Memento). (a) The geometric random variable X represents the number of failed iid Bernoulli trials performed before achieving a successful one. If the Bernoulli trials have common s
School: Caltech
BMB 170a 2011 Problem Set 4: Lipids, Membranes, and Membrane Proteins 1. Lipid Molecules and Structures (25pts) a. Below is a representation of the shape of a lipid tail that might be attached to a head group represented as a green sphere. Propose a possi
School: Caltech
Babraham Bioinformatics Viewing Protein 3D Structures with Deep View A quick guide to the visualisation components of Deep View Version 1.3 (public) Viewing Protein 3D Structures with Deep View 2 Licence This manual is 2007-8, Simon Andrews. This manual i
School: Caltech
Course: Electricity And Relativity
Ph1b (analytic track): Solution to Homework 8 Chefung Chan, Winter 2008 Problem 4-2 ( 5 points ) Each electron makes 3 108 m/s = 1.25 106 round trips per second. 240 m The charge passing any point, per second, is I = 1.25 106 1011 4.8 1010 = 6 107 esu/s =
School: Caltech
Course: Electricity And Relativity
Ph1b Analytic Quiz 3 Solution Chefung Chan, Winter 2008 Problem 1 (6 points total) A spherically symmetric charge distribution is given by (r ) = 0 ; 0 < r < a K = ; a<r<b r =0; r>b where K is a constant. At the center, r = 0, there is a point charge q .
School: Caltech
Problem Set 4 ACM 116, Fall 2012 Assigned 30 October 2012. Due to Steele House by 4 pm on 6 November 2012. This assignment covers basic transformations of random variables, sums of independent random variables, random walks, the law of large numbers, and
School: Caltech
Bi150 Problem Set 3 Due: Tuesday, October 25th, 2011, at 4:30 P.M. At the Bi 150 Box 3rd floor of Kerckhoff in front of Room 326 (The building may be locked after 5 P.M.) INSTRUCTIONS Please: 1) Turn in your work with this cover page. 2) Use separate shee
School: Caltech
Bi114 Midterm Exam NAME:_ Due Tuesday, February 8, 2011 at 5pm Please return the completed exam to 275 Church (Sarkis Mazmanians office) no later than 5pm. Please make sure to hand the exam to Sarkis directly. If I am not in the office, please deliver the
School: Caltech
Course: ACM95a
ACM 95a/100a Problem Set 2 Solutions Prepared by: Zhiyi Li October 10, 2007 Total: 112 points Include grading section: 2 points Problem 1 (27 points) Evaluate and plot the following in the complex plane: a) (cos i)i , b) arctan(1 + i) Solution 1 For this
School: Caltech
Course: Control
EXERCISES 26 many specic topics of interest to the physics community. Exercises 1.1 (Eye motion) Perform the following experiment and explain your results: Holding your head still, move one of your hands left and right in front of your face, following it
School: Caltech
Course: CS 21
CS 21 Decidability and Tractability Winter 2012 Final Exam Solutions Posted: March 16 If you have not turned in the nal, obviously you should not consult these solutions. 1. (a) First, the problem is in PSPACE, for the usual reason for 2-player games. Giv
School: Caltech
Course: Astronomy And Cosmology
UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Physics 2014 WINTER GALAXIES AND COSMOLOGY TA: Jared Brooks SOLUTION SET #3 Problem 1: Scales relevant to (Ryden 4.1) 5 pts. What about the Galaxy? (size = 10 kpc, mass = 1011 M ) Solution: Extending t
School: Caltech
Course: Mechanics Of Structures And Solids
AE/AM/CE/ME 102b Homework 1 Solution Mechanics of Structures and Solids - Winter 2012 Xin (Cindy) Wang January 24, 2012 Oce Hours: Kaushik Bhattacharya (bhatta@caltech.edu) - By appointment Ha Giang (hagiang@caltech.edu) - Monday 5pm - 6pm, SFL Multimedia
School: Caltech
Course: General Chemistry
Name: Section: Rec TA: Side 1 of 3 Ch 1b, Problem Set Five Due Friday, Feb. 11, 2011 at 4 PM in the Drop Box 1. Enthalpy Change & Phase Transitions (24 points) Calculate H (units: kJ) for this process: Process Start: 2.00 mol of steam at 130C Process End:
School: Caltech
Course: Electricity And Relativity
P 1 A a taH 9 o t n hb nl i l W S l i yc uo C e n C a, i e20 hf g hnW n r 08 u t
School: Caltech
Course: Decidability And Tractability
CS 21 Decidability and Tractability Winter 2013 Midterm Out: February 6 Due: February 13 This is a midterm. You may consult only the course notes and the text (Sipser). You may not collaborate. The full honor code guidelines can be found in the course syl
School: Caltech
Course: Astronomy And Cosmology
UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Physics 2014 WINTER GALAXIES AND COSMOLOGY TA: Jared Brooks SOLUTION SET #8 Problem 1: Recombination and baryon to photon ratio (Ryden 9.1) 5 pts. The purpose of this problem is to determine how the un
School: Caltech
Course: Electromagnetic Engineering
EE 151 Electromagnetic Engineering Caltech Spring `05 Homework 5 Due Tuesday, May 10th in class 1. Anti-reflection (AR) coating: A transparent dielectric coating is applied to a glass substrate (r = 4,r = 1) to eliminate the reflection of a normall
School: Caltech
1.) The backbone of the species [C2H5FNO2S2]+ is sketched below. The sketch shows only the connectivity of the atoms. It does not imply anything about the molecules shape. O O F H S H C H p l an a r t ri an g u la r b en t N H O O S p la n ar tr ian g u l
School: Caltech
Course: CS 21
CS 21 Decidability and Tractability Winter 2012 Problem Set 1 Out: January 11 Due: January 18 Reminder: you are encouraged to work in groups of two or three; however you must turn in your own write-up and note with whom you worked. You may consult the cou
School: Caltech
Course: Decidability And Tractability
CS 21 Decidability and Tractability Winter 2012 Midterm Solutions Out: February 13 1. (a) The language L1 is context free but not regular. To see it is context free, consider the NPDA that rst pushes as onto the stack until it sees the rst b, then pops as
School: Caltech
Course: Waves & Quantum Mechanics
P h002a, F all 2 008 Quiz 2 Due: 2 8 O ctober 2 008 A string with length tr, tension ?, and mass per unit length p is fixed at both e nds. 1. What is the angular frequency ir.rrof the fundamental mode (n: I)? 11p ointl 2. Write down the most generalseries
School: Caltech
Course: Decidability And Tractability
CS 21 Decidability and Tractability Winter 2013 Final Out: March 13 Due: March 20, noon This is a nal exam. You may consult only the course notes and the text (Sipser). You may not collaborate. The full honor code guidelines can be found in the course syl
School: Caltech
Course: Business Statistics
NUMERICAL DESCRIPTIVE MEASURES III. Exploratory Data Analysis A. Five Number Summary B. Boxplot 41 BOXPLOTS a.) Construct a box plot for the five-year average return for the Apparel and Shoes Industry. 5 10 15 20 25 30 35 % Returns 62 40 45 50 55 BOXPLOTS
School: Caltech
ACM 95/100c Final exam June 2, 2012 For seniors: Due by midnight on 6/8/2012 For everyone else: Due by midnight on 6/15/2012 Please upload a scan or pdf of your midterm set via Moodle. Please keep a copy of your midterm after you have submitted it (just i
School: Caltech
Course: Chemical
ChE 101 2012 Problem Set 6 Read Schmidt, Chapter 7 1. Derivation of the Langmuir isotherm: In this problem, we will use the tools of statistical mechanics to derive the Langmuir adsorption isotherm and understand how it changes with temperature. All of th
School: Caltech
Course: Numerical Linear Algebra
ACM 106a Fall 2012 Instructor: Thomas Hou Homework 5 Due Nov. 9, 5:00pm In this set, you will need the book Numerical Linear Algebra by Trefethen and Bau. If you do not have it, the needed pages are scanned for you. The points of each problem is mentioned
School: Caltech
Course: Astronomy And Cosmology
UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Physics 2014 WINTER GALAXIES AND COSMOLOGY TA: Jared Brooks SOLUTION SET #1 Problem 1: Neutrino Mass (Ryden 2.4) 5 pts. Suppose that the dierence between the square of the mass of the electron neutrino
School: Caltech
Course: Chemical
ChE 101 2012 Problem Set 2 Solutions 1. Consider the following reversible elementary reaction: A 2B The rate coefficient of the forward reaction is kf = 25 hr-1 , and the rate coefficient of the reverse reaction is kb = 4 M-1 hr-1 . The aqueous phase reac
School: Caltech
Course: ACM95c
ACM 95/100c Problem Set 4 Solutions Lei Zhang April 22, 2006 Each problem is worth 10 points - each part of a multi-part problem is weighted equally Problem 1 (Collaboration allowed) The following problem examines the Fourier transform for the -function b
School: Caltech
Name Section Rec TA Side 1 of 3 Ch 1a, Problem Set Eight Due Friday, November 18, 2005 at 4 PM Problem s 2 and 3 a re d esignated ( ) as no collaboration problems. 1. (30 Points) Molecular size is governed by factors including bond lengths and atomic radi
School: Caltech
8.1.11 u = a(1 u) uv 2 There is a xed point at (1, 0) for all a and k . Nullclines curves are given by u= a a + v2 and u= a+k v v = uv 2 (a + k )v Figure 1: Nullcline Curves as the parameters are varied These curves intersect when a+k a = 2 a+v v (0.1) s
School: Caltech
Course: Calculus Of One And Several Variables
1 The Real Number System The rational numbers are beautiful, but are not big enough for various purposes, and the set R of real numbers was constructed in the late nineteenth century, as a kind of an envelope of Q. (More later on this.) For a nonconstruct
School: Caltech
Course: General Chemistry
Name Section Rec TA Side 1 of 9 Ch 1b, Problem Set One Due Friday, Jan. 7, 2011 at 4 PM PST in the Drop Box 1. Molecular Hybridization (15 points) Below, the chromophore of neocarzinostatin is shown. This enediyne molecule, in conjunction with its apoprot
School: Caltech
Course: Python
Linus Torvalds CS 1 Linux Tutorial September 29, 2010 Linux mascot Linux: Introduction You've probably heard of the Windows and Mac OS X operating systems Linux is another popular one (its free too!) All the CS cluster machines run Linux CS cluster = co
School: Caltech
Course: ACM95a
Introduction to Methods of Applied Mathematics or Advanced Mathematical Methods for Scientists and Engineers Sean Mauch http:/www.its.caltech.edu/~sean January 24, 2004 Contents Anti-Copyright Preface 0.1 Advice to Teachers . . . . 0.2 Acknowledgments . .
School: Caltech
Answer Key Side 1 of 5 Problem One Lewis and VSEPR 10 points each a. CO2, linear O C O O C O Ch 1a, Problem Set Six Due Friday, Nov. 5, 2004 d. PH3, trigonal pyramidal P acceptable, not required b. PF5, trigonal bipyramidal F F P F F F H H H e. HCP, linea
School: Caltech
Course: Physics
AP Physics C 1988 Multiple Choice Questions Mechanics The materials included in these files are intended for use by AP teachers for course and exam preparation in the classroom; permission for any other use must be sought from the Advanced Placement Progr
School: Caltech
Course: Electromagnetic Engineering
EE 151 Electromagnetic Engineering CALIFORNIA INSTITUTE OF TECHNOLOGY DEPARTMENT OF ELECTRICAL ENGINEERING EE 151 Electromagnetic Engineering Spring 2005 _ Announcements You can pick up the graded final exam in the box outside room 238
School: Caltech
Course: Physics
AP Physics C 1998 Multiple Choice Questions Mechanics The materials included in these files are intended for use by AP teachers for course and exam preparation in the classroom; permission for any other use must be sought from the Advanced Placement Progr
School: Caltech
Course: Physics
AP Physics C 1993 Multiple Choice Questions Mechanics The materials included in these files are intended for use by AP teachers for course and exam preparation in the classroom; permission for any other use must be sought from the Advanced Placement Progr
School: Caltech
Course: ACM95a
ACM 95a/100a Notes Eric Tai January 25, 2007 Contents 1 Complex Variables 1.1 Polar Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Eulers Formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
School: Caltech
Course: Calculus Of One And Several Variables
1 The Real Number System The rational numbers are beautiful, but are not big enough for various purposes, and the set R of real numbers was constructed in the late nineteenth century, as a kind of an envelope of Q. (More later on this.) For a nonconstruct
School: Caltech
Here is the Atheneum from the southwest, as it might be viewed from one of the student's residences. This is our final lecture and it gives us a chance to wrap up some of the concepts we've introduced to show you where we need a lot more data. And to int
School: Caltech
Hi there we're going to talk about several additional topics before we go on to talk about drugs for schizophrenia. So in this lecture we'll discuss non genetic contributions to schizophrenia. We'll discuss biomarkers and we'll discuss animals models for
School: Caltech
Hello, were back talking about drugs and molecules, rather than about personalities, in the context of bi-polar disorder. In terms of therapeutic approaches to bi-polar disorder, A very important statement is that many bipolar patients avoid therapy or r
School: Caltech
. Today, we are going to talk about Schizophrenia. It's the last of the major neuroscience diseases that we will discuss. We're going to follow our usual procedure of discussing first, the clinical description. Then, what we know about the genetics. Then
School: Caltech
Hello, this mini lecture is entitled Schizophrenia Pathophysiology, A Century of Frustration. Because as you'll see, history shows that we do not yet have an idea about what causes schizophrenia. In fact, over the past century, each advance in biology an
School: Caltech
Here is the culmination of our lectures on schizophrenia. We're going to be discussing drugs for schizophrenia. All of the drugs that are presently approved for schizophrenia fall into the classification of antipsychotics. They suppress the positive symp
School: Caltech
This garden in the foreground and Millikan Library in the background. This scene appeared in several episodes of Numb3rs. Hello. We're going to talk about a delicate and perhaps controversial topic. And this is the question of how it is that genes predis
School: Caltech
This is the first of three lectures on Bipolar Disease. Many students have asked to learn more about Bipolar Disease in order to be able to help friends or relatives who seem to have a disorder somewhere on the Bipolar spectrum. Unfortunately it's rather
School: Caltech
Hello, in this mini-lecture we're going to continue our discussion of major depression. We're going to talk about pathophysiology, what actually causes major depression. We're going to talk about animal models, particularly in mice, and we're not going t
School: Caltech
This lecture continues our discussion of antidepressant drugs and how they might be acting. The first topic is neurogenesis. In adult rodents, and in adult monkeys, and perhaps in adult humans, it's not yet certain, new neurons form continuously from pro
School: Caltech
We're beginning now to synthesize everything that we've learned in this course about drug action and about the natural physiology of cells and neuroscience. And we're trying to put together a coherent story, if we can, about how antidepressants act. We'l
School: Caltech
Hello. We're going to talk about several aspects of a major depressive disorder in this lecture. It's also called unipolar depressive disorder to distinguish major depressive disorder from bipolar disorder. We'll use the terms major depressive and unipol
School: Caltech
Here's another view of the cook off building with its carvings and arching's and wisteria. That arch passage way is delightfully cool during the summer. Hello, during this final week of drugs and the brain. We're going to be talking about the very import
School: Caltech
We're going to discuss now the very challenging but very important topic of protection against Parkinson's disease. The idea here is that if one could diagnose Parkinson's disease rather early on one would be able to apply a treatment. And we'll discuss
School: Caltech
It's a late fall day at the Athenaeum in Pasadena, California. We're looking at the Einstein balcony, where Einstein used to enjoy looking at Caltech during his visits to the campus. Hello. This lecture is about Parkinson's Disease. Mostly about therapeu
School: Caltech
This is our final lecture on Parkinson's disease. We are again discussing the prospects for neuro protection. That is once a person has been identified as having early stage Parkinson's disease or has been identified as carrying a mutation that puts him
School: Caltech
Hello. The next few lectures we are going to be discussing Parkinson's Disease. This is an active and vibrant area in modern research, especially on the translational front. We can't cover all aspects but, as usual I'm gonna try to give you a flavor of t
School: Caltech
Hello in, Hello. In this lecture we're going to talk about Parkinson's Disease specifically pathophysiology in non-human models for the disease. First of all we have to say explicitly that most cases of Parkinson's Disease have an unexplained cause. In g
School: Caltech
Hello, our final lecture on, Alzheimer's disease, is going to talk about animal models, and bio-markers, and therapeutic approaches, to Alzheimer's disease. Experimenters, in modern neuro science, have a series of, animal models, for Alzheimer's disease.
School: Caltech
Now we're going to talk about what causes the pathology in Alzheimer's Disease. It's not clearly known, but we certainly have some major hints. We begin with the protein called beta-APP, or beta amyloid precursor protein. The APP proteins are a family th
School: Caltech
Here is another view of the Parson Gates building at Cal Tech. It was formerly the laboratory where Linus Pauling did a great deal of his work. It's now administrative and in numbers it's the hero's office building. Hello. Welcome back to Drugs and the B
School: Caltech
This is our final lecture on nicotine addiction. We're going to talk about drugs for smoking cessation. And that will lead us naturally into a discussion of harm reduction. Since the late'90s, Bupropion. Previously used, and still used as an antidepressa
School: Caltech
Hello. Most of the slides in this mini-lecture come from research seminars that I have given recently, or plan to give. The topic. Is still changes in the brain with chronic nicotine. Curiously enough, in 1983 it was first noticed that in an animal given
School: Caltech
This is Throop Garden, a little stream and waterfall with turtles and goldfish. We're looking east and there are engineering buildings at the left and at the right. Hello. The next two lectures provide you with a set of two complimentary views on this ci
School: Caltech
Hello. Advances in neuroscience have come from many areas of science and technology and engineering. Two of the most fruitful contribution areas have been drugs and toxins over hundreds and hundreds of years, and more recently, genetics. This lecture com
School: Caltech
Hello. We will spend the next five lectures discussing nicotine addiction. It's the only addiction that we will discuss in detail in this course. There are several reasons for this. First, it's the only addiction that I can describe with great familiarit
School: Caltech
Hello, we are discussing neurotransmitter transporters. These are very cool molecules, and they are the third major class of targets in drugs and the brain. As usual, we start with a system or a nucleus in the brain that can focus our attention on the ta
School: Caltech
Several numbers episodes were filmed at the Athenaeum, which is perhaps the most formal place on the Caltech campus where faculty, and students, and staff gather. My family has had several lovely celebrations there over the years as well. Hello. Today, w
School: Caltech
In this final mini lecture on neurotransmitter transporters, we are going to discuss them as proteins, and we're going to count them. It's important to discuss what we call the alternating access model for how ion coupled transporters actually work. They
School: Caltech
Hello. We've done a lot of the hard work for this course now. we've, introduced a large number of concepts, and mechanisms and equations at the rate of one per slide or two. We'll certainly be introducing new concepts from now on, but not at the same rat
School: Caltech
Hello. This is our final lecture on recreational drugs. A reminder that nobody associated with the course condones or advocates the use of recreational drugs. aboutand we certainly have mentioned the Dopaminergic system before. In fact, you may remember
School: Caltech
This is Thomas Hunt Morgan, founder of Fruit Fly Drosophila Genetics on the World Scene and also of Caltech's Division of Biology. This lecture discusses Seymour Benzer, another Caltech geneticist. This is the Thomas Hunt Morgan Memorial Library in the K
School: Caltech
Hello. We're going to describe a third G protein pathway. It will be the final G protein pathway that we describe. And if we call it the calcium mobilizing G protein or the Gq pathway. And we'll also talk about modifying G protein pathways. So we have di
School: Caltech
Here, we're going to follow the stimulatory G Protein or GS pathway. And as you'll see, many useful drugs interfere with or activate this pathway or the enzymes in this pathway. Here's our map of the G protein pathway. We have told you about the receptor
School: Caltech
We are going to follow our description of the g protein pathway, and in particular today, we will talk about inhibitory g proteins and their effectors. We are following our map of the g protein pathway that we talked about the receptor last time. Now we
School: Caltech
This is the Parsons-Gates building at Caltech. In numbers, it frequently appeared as the supposed office building of the hero. First, starting a series of four mini-lectures on the G protein pathway. This is an amazing and important pathway in neuroscien
School: Caltech
Now we're going to stop hinting about sodium channels and actually discuss them. We're going to get more complex as this mini-lecture goes forward. We're going to start with an exceedingly simple concept which is that in the absence of a blocker, a chann
School: Caltech
We'll discuss glutamate-gated receptor channels in this lecture. As usual, we begin with highlighting a brain area. . That includes the molecule we're studying and that has an important function. In this case it's the hippocampus. Here's a rodent brain a
School: Caltech
Hello, we'll begin by playing from the San Francisco Bay area where Coursera has its headquarters to the CalTech campus where drugs and the brain is being taught. In fact, we'll fly to the Kirchhoff's building on the CalTech campus, where most of the dru
School: Caltech
Hello. In this mini-lecture, we're going to go into greater detail about nicotinic acid receptors. As examples of ligand gated channels, and from then on we'll treat them more or less as black boxes, that participate in, recreation and addiction and ulti
School: Caltech
Hello. It's a late fall weekend morning on the Cal Tech campus in Pasadena. We're looking toward the northeast at scenes that may be familiar to viewers of numbers. Now we're looking toward the north at the Kirkoff building these arcades and cloisters fi
School: Caltech
Hello. This mini lecture describes inhibitory ligand-gated channels. You'll see several themes that are familiar to you from the nicotinic acetylcholine receptor family, which are excitatory. As usual, it's a good idea to have a brain region in mind, and
School: Caltech
From Bi 150 Lecture 0 October 4, 2012 An introduction to molecular biology . . . but you will learn the cell biology in this course 1 3 x 109 base pairs Lander et al Humans have 22 pairs of chromosomes, plus the X and Y. Males are XY; females are XX. A. E
School: Caltech
Hello, it's a beautiful late fall Sunday afternoon on the Caltech Campus. Because it's Sunday, not many students or faculty members are around. There is the entrance to the red door. we can't see its red door from here, which is very much the focal socia
School: Caltech
And so, abstracting the concept of an ion channel is a little conductor allows us to construct an equivalent circuit for the cell. We have the outside of the cell an external solution, which is the salt solution a pretty good conductor, that's this wire
School: Caltech
Hello, this lecture prepares us for understanding postsynaptic membrane and activation of postsynaptic membranes by drugs. We are going to deal with ion channels in this lecture. We are going to talk first about the origin of the resting potential and th
School: Caltech
Previously we told you about individual part of the protein and the amino acids that make up those parts of protein and the alpha helices and the beta sheets. Now we'll actually look at some one receptor that's a protein and show you it's complexities. S
School: Caltech
Hello, we are back in my office at Cal Tech in Pasadena, California, and this mini lecture has a rather simple message. It's that the major language of the nervous system is the frequency of the neuron's action potentials or nerve impulses. Each individu
School: Caltech
Hello. Welcome back to drugs and the brain at Caltech and Coursera. This is Henry Lester at Caltech and, just to prove it, here is my Cal-tech pocket protector. and I'll just stick it right back here in my pocket for the rest of today's session. And it w
School: Caltech
Hello. In this session, we'll talk about what is a drug. We'll give you the structures and some other facts about four drugs that will serve as examples for this course. We'll talk about their chemistry and a little bit about their chemical properties. S
School: Caltech
Hello. In this session, we'll discuss more about the nature of drugs as chemicals. In particular, we'll talk about their permeation, their entry into the nervous system and into the brain, and then we'll spend a few minutes talking about a particular pro
School: Caltech
Hello. Welcome back to Drugs and the Brain on Coursera. The next two modules are going to be dealing with receptors and the fact that they are proteins. So, let's get started with a couple of concepts. First of all, a receptor. Simply enough, a receptor
School: Caltech
Hello. Welcome to Coursera. Welcome to the California Institute of Technology, Cal Tech. My name is Henry Lester. I'll serve as the instructor for this course on drugs and the brain. We're going to start with two modules, each about six minutes long. The
School: Caltech
Hello, the next part of our session on What is a drug? deals with botulinum toxin. Botulinum toxin is one of the few protein drugs and it does not actually work in the brain, it works in the peripheral nervous system but it tells us a great deal about wh
School: Caltech
Course: Relativistic Quantum Mechanics
Arithmetic The following commands need no explanation. (2 + 3)*(7 - 5); ? 2*3/66; ? 2^100-1; ? 5/2 + 3/5; ? 66/1512 + 1/252; ? Sqrt(100); ? Sqrt(100) in Integers; ? Sqrt(99) in Integers; ? Let us comment here regarding spaces in the input. We could (and o
School: Caltech
Course: Relativistic Quantum Mechanics
+ Jones chapter 8 isospin-multiplet pions, , 0 kaons, K 0 , K + anti kaons, K , K 0 eta, 0 eta0 , 0 nucleons, n, p delta, , 0 , + , + sigma, , 0 , + sigma , , 0 , + lambda, 0 ksi, , 0 ksi , , 0 omega, spin 0 0 0 0 0 1 /2 3 /2 1 /2 3 /2 1 /2 1 /2 3 /2 3 /
School: Caltech
Disney (Walt) Co. (The) (NYS: DIS) Financial Highlights as of 09/28/2013 in USD Income Statement Total Revenue EBITDA Operating Income Net Income Revenue per Share EPS from Continuing Operations EPS - Net Income - Diluted Share Outstanding Weighted Averag
School: Caltech
Course: Management Of Technology
Overviev Electrical Drive Systems 324 1 Industrial Motor Control Dr. P.J Randewijk Stellenbosch University Dep. of Electrical & Electronic Engineering Stephan J. Chapman Chapter 6.8 (5th Edition) Industrial Motor Control Introduction Switch Gear Industria
School: Caltech
Course: Management Of Technology
2.6 & 2.10 The Per-Unit System The per-unit system gives us an indication as to what the power (active, reactive or apparent), the voltage and the current is Electrical Drive Systems 324 The Per-Unit System with respect to the transformers (or electrical
School: Caltech
Course: Management Of Technology
Outline Electrical Drive Systems 324 Synchronous Motors 1 Dr. P.J Randewijk Stellenbosch University Dep. of Electrical & Electronic Engineering Chapman, Chapter 5 5.1 Basic Principles of Motor Operation 5.2 Steady-State Synchronous Motor Operation 5.3 Sta
School: Caltech
Course: Asian History
Steve Xu Writing Assignment #9 (Rewrite) Comparative Essay on Kelly and Thompson The Huns were a group of nomadic people who around 370 CE migrated into the East European steppes and built up a vast empire based in the Hungarian Plains. They formed a powe
School: Caltech
Course: Asian History
Steve Xu Assignment #6 Final Response Paper I was first introduced to the word Huns after watching the Disney movie Mulan in my childhood years. Incorporating catchy tunes and an old-fashioned story line with a happy ending, Mulan was made for entertainme
School: Caltech
Course: BioEE
Survivorship Curves for Hist oric and Modern Human Populat ions in It haca, NY 1000 S u r v iv o r s h i p ( n x ) 100 Historic males Historic females Modern males 10 1 0 10 20 30 40 50 60 Age (years) 70 80 90 100 110 Modern females Age Interval Historic
School: Caltech
Course: BioEE
Biofuels Essay Grading Rubric The goal of the essay assignment is to prepare a concise essay summarizing the ecological assessment of producing biofuels in (a) the United States, and (b) Brazil. Write two separate summary statements, 1.5 pages each,
School: Caltech
Course: BioEE
BioEE 1610 Ecology and the Environment Essay Assignment: Biofuels Spring 2011 Due at the start of section the week of May 5th and 6th [5% of final grade] The United States and many other nations have committed heavily to biofuels
School: Caltech
A Presentation by Team Dope (Lindsay King, Micah Solomon, Ronnie Bryan) Reward without Dopamine The Journal of Neuroscience, 2003 Claire Matson Cannon and Richard D. Palmiter Morphine reward in dopamine-deficient mice Nature, 2005 Thomas S. Hnasko, Bethan
School: Caltech
1 855 ON THE L AW WHICH HAS R EGULATED THE I NTRODUCTION OF N EW S PECIES BY ALFRED RUSSEL WALLACE FEBRUARY, 1855 (ALSO KNOWN AS THE SARAWACK LAW. ED.) Wallace, A. R. 1855. On the law which has regulated the introduction nd of new species. Annals and Maga
School: Caltech
Course: Statics And Dynamics
Statics and Dynamics - Me 35b (Winter 2009) Final Examination Solutions Problem 1 (15 points): Member ABC (shown in the Figure) has a weight of 9 kg and is attached to a pin support at midpoint B . A 2 kg sphere D strikes the end C of member ABC with a ve
School: Caltech
Course: Thermoelectric Materials
Ultrascaled Silicon Nanowires as Efcient Thermoelectric Materials E. B. Ramayya and I. Knezevic Electrical and Computer Engineering, University of Wisconsin, Madison, Wisconsin 53706 Email: ramayya@wisc.edu, knezevic@engr.wisc.edu AbstractThe room-tempera
School: Caltech
Course: Current Research In Biology
Current Biology, Vol. 15, 17011711, October 11, 2005, 2005 Elsevier Ltd All rights reserved. DOI 10.1016/j.cub.2005.08.035 The Heparan Sulfate Proteoglycan Syndecan Is an In Vivo Ligand for the Drosophila LAR Receptor Tyrosine Phosphatase A. Nicole Fox an
School: Caltech
CALIFORNIA INSTITUTE OF TECHNOLOGY Department of Mathematics The simple random walk and the law of averages KC Border March 2013 v. 2013.03.27:16.16 In 1950 William Feller published An Introduction to Probability Theory and Its Applications [2]. According
School: Caltech
CALIFORNIA INSTITUTE OF TECHNOLOGY Ma 2b Introduction to Probability and Statistics Lecture 21: 1 KC Border Winter 2013 Testing categorical data Review of the multinomial distribution The multinomial distribution generalizes the binomial distribution to r
School: Caltech
CALIFORNIA INSTITUTE OF TECHNOLOGY Ma 2b Introduction to Probability and Statistics Lecture 13: 1 KC Border Winter 2013 Joint Distributions and the Bivariate Normal Discrete Joint Distributions For X and Y discrete random variables on a probability space
School: Caltech
CALIFORNIA INSTITUTE OF TECHNOLOGY Ma 2b Introduction to Probability and Statistics KC Border February 2013 Dierentiating under an integral sign In the derivation of Maximum Likelihood Estimators, or the CramrRao Lower Bound, we dierentiated under an inte
School: Caltech
CALIFORNIA INSTITUTE OF TECHNOLOGY Ma 2b Introduction to Probability and Statistics Lecture 1: 1 KC Border Winter 2013 Introduction Uncertainty, randomness, and probability Karl Ors O Fortuna is a musical tribute to Fortune. The lyrics are from an irrever
School: Caltech
CALIFORNIA INSTITUTE OF TECHNOLOGY Department of Mathematics Notes on The FrchetCramrRao Lower Bound KC Border February 2013 v. 2013.02.18:14.19 The textbook states the CramrRao Lower bound [6, Theorem 5.5.1, p. 320], but does not derive it. In this note
School: Caltech
MA 2B ASSIGNMENT 1 SOLUTIONS KC BORDER Exercise 1. (10 pts) Go to the U.S. Centers for Disease Control, National Vital Statistics Report, vol. 61, no.3 (Sep. 24, 2012), http:/www.cdc.gov/nchs/data/nvsr/nvsr61/nvsr61_03.pdf, and nd the appropriate life tab
School: Caltech
Course: Probability And Statistics
CALIFORNIA INSTITUTE OF TECHNOLOGY Ma 2b Introduction to Probability and Statistics Lecture 23: KC Border Winter 2013 The Standard Linear Model: Estimation Larsen and Marx [3, Chapter 11] treat the standard linear model (or the simple linear model) for th
School: Caltech
Course: Introduction To Biochemistry,John
11/8/12 DNA and CHROMATIN STRUCTURE 1b 1 11/8/12 2 11/8/12 MAJOR GROOVE MINOR ROLL 3 11/8/12 David Montgomery-Dervan Lab 4 11/8/12 POLYAMIDES-Dervan group Caltech 5 11/8/12 6 11/8/12 Chromatin structure. An electron micrograph showing its beads on
School: Caltech
Course: Introduction To Biochemistry,John
INTRODUCTION to Biochemistry Technology - Science Atomic Physics Astronomy Molecular Biology Atomic Physics ATLAS Higgs Nobel Prize Astronomy Voyager I Molecular Biology Information (DNA/RNA) Evolution Genetics Structure Genomes DNA Se
School: Caltech
Course: Introduction To Biochemistry,John
C5 + C5 C3 + C7 ~ C2 C7 + C3 C4 + C6 ~ C3 C4 + C5 C3 + C6 ~ C2 3C5 2C6 + C3 Glutathione is a tripep@de composed of glutamate, cystein, glycine. Reduced glutathione (GSH) ma
School: Caltech
Course: Introduction To Biochemistry,John
1948 Nature Publishing Group In Biochem C6H12O6 + 6H2O C0 6CO2 + 24 H+ + 24e- C+4 C6H12O6 glucose 2CH3COCO2H + 4H+ + 4e- pyruvate C3H4O3 CH3COCO2H + H2O CH3CO2H + CO2 + 2H+ + 2e- p
School: Caltech
Course: Introduction To Biochemistry,John
Trypsinogen Trypsin Trypsinogen Trypsin Trypsinogen Trypsin pH Rate Profile His 57 - H+ pH Rate Profile His 57 - H+ Ile - H+ pH Rate Profile Lerch, M. M. and F. S. Gorelick (2000). Medical Clinics of North America 84(3): 549-563.
School: Caltech
Course: Introduction To Biochemistry,John
11/8/12 DNA STRUCTURE 2012a 1 11/8/12 2 11/8/12 HOCH2 3 11/8/12 4 11/8/12 5 11/8/12 6
School: Caltech
Course: Introduction To Biochemistry,John
Biochemistry 110 Carl Parker x6368 102 Braun Lab Central Dogma of Molecular Biology DNA-Dependent RNA Polymerase Requires a DNA Template Synthesizes RNA in a 5 to 3 direction Requires ribonucleoside tri-phosphates rNTPs Requires a divalent cati
School: Caltech
Course: Introduction To Biochemistry,John
!"#$%&'()(*+%,)#-%,./&'-%)(.0'1,)(2. . 3(,&4.5'%16. 7(.9:;. 9<=<>.?%@)(-"#1AB./#&#,'C. 7%D#8B%.'E.-"%.@%&F.1#&2%.(8GH%&.'E.,%2&%B.'E.E&%,'G.)(.#(.8(E'1,%,. $'1F$%$I,%.D"#)(J.-"%.$'1F$%$I,%.D"#)(."#B.#(.#B-&'('G)D#1.(8GH%&.'E. $'BB)H1%.D'(E'&G#I'(BK. 0'
School: Caltech
Course: Introduction To Biochemistry,John
Temporal control of Transcription in phage SPO-1 infected B. subtilis T7 RNA Polymerase. Lambda Life Cycle. Lambda Lambda Genome Plaques are turbid Lytic Life Cycle. N anti-terminates transcription. Protein complexes involved in N-mediated anti-termina
School: Caltech
Course: Introduction To Biochemistry,John
Kine%cs But no satura%on Amount of E limits maximum rate at high [S], all E is saturated as ES Amount of E limits maximum rate at high [S], all E is saturated as ES Amount of E limits maximum rate at high [
School: Caltech
Course: The Biology And Biophysics Of Viruses
D1 D2 . Dn Multipotency Self-renewal Smooth Muscle cells I forget - why are they sticking a needle in my head? Tissue-specific stem cells: Germ-line ES CELL CONTRIBUTION TO CHIMERIC EMBRYOS VISUALIZED USING GENETICALLY ENCODED MARKERS GFP Mao J et al. Nuc
School: Caltech
Course: The Biology And Biophysics Of Viruses
DNA microarrays to evaluate gene expression Array thousands of DNA oligonucleotides (probes) in known locations, each is a different sequence Add target cDNA (complementary DNA made from transcribed RNA) (target) to hybridize under high-stringency condi
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/25/2011 Vaccination In thinking about vaccines, recall that there are two arms of the adaptive immune response For most viruses, you are immune to reinfection by the same virus (e.g., chicken pox). Immunization or vaccination: Process by which one is
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/2/2011 Flu vaccines H5N1 (Bird flu) WHO* specifies the contents of the vaccine each year to contain the most likely strains of viruses that will attack the next year. Inactivated viruses are injected or live attenuated viruses are given as a nasal spr
School: Caltech
Course: The Biology And Biophysics Of Viruses
Cytotoxic CD8 T cells recognize antigen presented by class I MHC proteins Figure 1-30 CD8 is a T cell coreceptor that binds to class I MHC molecules. Class II MHC proteins Expression of MHC class I versus class II proteins Figure 3-19 Peptides that bind t
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/20/2011 What is a neutralizing antibody? (NAb) An antibody that reacts with an infectious agent, usually a virus, and destroys or inhibits its infectiveness and virulence. (Free Dictionary by Farley) Why dont antibodies block HIV from infecting and/or
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/5/2011 Model for HIV membrane fusion and its inhibition Review of HIV lifecycle and sites of drug actions Fuzeon (enfuvirtide; T-20) a peptide inhibitor of fusion Target fusion peptide Transmembrane region of gp41 www.hivandhepatitis.com/hiv_and_aids/fu
School: Caltech
Course: The Biology And Biophysics Of Viruses
Genomics & Genetic Engineering DNA Interactive: http:/www.dnai.org/ Using recombinant DNA technology, we can: Sequence all the genes in an organism. Amplify genes (e.g., for forensics or to find viruses). Express rare proteins or construct new proteins
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/16/2011 Two types of T cells Killer T cells. Also called cytotoxic T lymphocytes (CTLs) Coreceptor: CD8 Recognize antigen bound by class I MHC molecules Can kill virally-infected cells Helper T cells (TH cells) Coreceptor: CD4 Recognize antigen b
School: Caltech
Course: The Biology And Biophysics Of Viruses
4/29/2011 Clicker question Swine flu is a dangerous form of influenza. Which of the following is true: 1) Swine flu is highly contagious amongst pigs, but does not infect humans. 2) Swine flu is normally spread only amongst pigs, but can be caught by huma
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/5/2011 HIV lifecycle with more accurate depiction of budding Translation of unspliced mRNA gives viral Gag, and occasionally, Gag-Pol proteins. Summary of HIV lifecycle Figure 9-15 These assemble to form immature particles. Proteolytic cleavage of Gag (
School: Caltech
Course: The Biology And Biophysics Of Viruses
Signals in DNA tell RNA polymerase where to start and stop transcription Synthesis starts at a promoter, a conserved sequence 5 of a gene. Chain elongation occurs until RNA polymerase encounters a termination sequence on the DNA. RNA polymerase release
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/11/2011 Adaptive immune system Comparison of innate and adaptive immunity (What we and other vertebrates have in addition to an innate immune system) Makes specific immune response to a pathogen (1790s): Jenner showed that exposure to cowpox protected
School: Caltech
Course: The Biology And Biophysics Of Viruses
An experimental method to determine macromolecular structures: X-ray Crystallography Macromolecular structure Love hides in molecular structures. Jim Morrison, Love Hides, from Absolutely Live, The Doors Macromolecules are created by covalently linking sm
School: Caltech
Course: The Biology And Biophysics Of Viruses
4/25/2011 Clicker question Clicker question The 2006 Nobel Prize in Medicine was given to Andrew Fire and Craig Mello for their work showing that _ can regulate the expression of genes. The 2006 Nobel Prize in Medicine was given to Andrew Fire and Craig M
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/26/2011 Phage display Putting biology to work for you: Make a combinatorial library of genes of interest Put genes into a vector so that each gene product is expressed on the surface of a bacteriophage In vitro (directed) evolution and other technique
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/11/2011 Laboratory uses for antibodies: Immunoprecipitation Janeway et al. (2005) Immunobiology: The Immune system in health and disease Garland Publishing, 6th edition, figure 3-8 Enyzme-linked immunosorbent assay (ELISA) to detect anti-HIV-1 p24 antib
School: Caltech
Course: The Biology And Biophysics Of Viruses
5/9/2011 Extra credit opportunity see Bi1 website The Immune System A complex system that is responsible for distinguishing us from everything foreign to us, and for protecting us against infections and foreign substances. The immune system works to seek
School: Caltech
Course: The Biology And Biophysics Of Viruses
Clicker question Viruses are parasites Viruses can infect 1) Humans 2) Animals 3) Plants 4) Bacteria 5) Bi 1 students 6) All of the above Viral genomes small - contain few genes compared with living cells HIV genome has 9749 nucleotides - Human cells ha
School: Caltech
Course: The Biology And Biophysics Of Viruses
Vocabulary Replication - copying DNA before cell division Transcription - making an RNA copy (messenger RNA or mRNA) of DNA. Note - Transcription involves copying in the same language (e.g., court transcription). Translation - making a protein from the
School: Caltech
Course: The Biology And Biophysics Of Viruses
Proteins: Sequence -> Structure -> Function Anfinsen Experiment: Denature ribonuclease (RNase) Remove denaturant Assay for RNase activity - does the protein regain its 3-D structure and its enzymatic activity? Molecular chaperones - Anfinsen cages for fol
School: Caltech
Course: The Biology And Biophysics Of Viruses
3/29/2011 Richard Feynman An Invitation to Enter a New Field of Physics Clicker question 12/29/59 talk at the annual meeting of the American Physical Society It is very easy to answer many of these fundamental biological questions; you just look at the th
School: Caltech
Course: The Biology And Biophysics Of Viruses
Lecture 1: Crystals, symmetry Different ways to depict a protein structure Wire diagram Ribbon diagram Primary Structure: Amino Acid Sequence Ball & stick of featured area Blue: positive Red: negative Model of HIV protease Enter Somethign Surface represen
School: Caltech
Course: The Biology And Biophysics Of Viruses
3/27/2011 Topic for Bi 1 since 2007: The Biology and Biophysics of Viruses Bi 1 The Biology and Biophysics of Viruses Goal: Introduce biological concepts from a quantitative, molecular, chemical and biophysical perspective. No memorization (open book pr
School: Caltech
Course: Statistical Physics
Physics 127c: Statistical Mechanics Quantum Monte Carlo Monte Carlo methods are good for evaluating probabilistic integrals. A key feature of quantum mechanics is that we must deal with complex amplitudes rather than real positive probabilities. Intrinsic
School: Caltech
Course: Statistical Physics
Physics 127c: Statistical Mechanics Vortex Lines Topological defects play a fundamental role in the properties of broken symmetry systems. In solids, for example, dislocations limit the maximum strain or stress that the solid can support, and initiate pla
School: Caltech
Course: Statistical Physics
Physics 127c: Statistical Mechanics Second Quantization Ladder Operators in the SHO It is useful to rst review the use of ladder operators in the simple harmonic oscillator. Here I present the bare bonesreview your favorite Quantum textbook for more detai
School: Caltech
Course: Statistical Physics
Physics 127b: Statistical Mechanics Brownian Motion Brownian motion is the motion of a particle due to the buffeting by the molecules in a gas or liquid. The particle must be small enough that the effects of the discrete nature of matter are apparent, but
School: Caltech
Course: Statistical Physics
Physics 127b: Statistical Mechanics Renormalization Group: General Case The steps in the renormalization group are 1. Eliminate degrees of freedom by a scale factor b so that N = N , bd (1) whilst preserving the free energy. This might be done by "block s
School: Caltech
Bi114 Midterm Exam NAME:_ Due Tuesday, February 8, 2011 at 5pm Please return the completed exam to 275 Church (Sarkis Mazmanians office) no later than 5pm. Please make sure to hand the exam to Sarkis directly. If I am not in the office, please deliver the
School: Caltech
Course: CS 21
CS 21 Decidability and Tractability Winter 2012 Final Exam Solutions Posted: March 16 If you have not turned in the nal, obviously you should not consult these solutions. 1. (a) First, the problem is in PSPACE, for the usual reason for 2-player games. Giv
School: Caltech
Course: Decidability And Tractability
CS 21 Decidability and Tractability Winter 2013 Midterm Out: February 6 Due: February 13 This is a midterm. You may consult only the course notes and the text (Sipser). You may not collaborate. The full honor code guidelines can be found in the course syl
School: Caltech
1.) The backbone of the species [C2H5FNO2S2]+ is sketched below. The sketch shows only the connectivity of the atoms. It does not imply anything about the molecules shape. O O F H S H C H p l an a r t ri an g u la r b en t N H O O S p la n ar tr ian g u l
School: Caltech
Course: Waves & Quantum Mechanics
P h002a, F all 2 008 Quiz 2 Due: 2 8 O ctober 2 008 A string with length tr, tension ?, and mass per unit length p is fixed at both e nds. 1. What is the angular frequency ir.rrof the fundamental mode (n: I)? 11p ointl 2. Write down the most generalseries
School: Caltech
Course: Decidability And Tractability
CS 21 Decidability and Tractability Winter 2013 Final Out: March 13 Due: March 20, noon This is a nal exam. You may consult only the course notes and the text (Sipser). You may not collaborate. The full honor code guidelines can be found in the course syl
School: Caltech
ACM 95/100c Final exam June 2, 2012 For seniors: Due by midnight on 6/8/2012 For everyone else: Due by midnight on 6/15/2012 Please upload a scan or pdf of your midterm set via Moodle. Please keep a copy of your midterm after you have submitted it (just i
School: Caltech
Course: Topics In Classical Physics
Physics 106a Final Solutions December 17, 2013 Problem 1: Five quick questions (a) The position of the center of mass (x horizontal, y vertical, down) is Rcm = (l sin + R sin , l cos + R cos ). (1) From this we can get for Vcm = Rcm 2 Vcm = l 2 2 + R 2 2
School: Caltech
Course: Topics In Classical Physics
Physics 106a Midterm Solutions October 25, 2013 Problem 1 (a) The kinetic energy is T = 1 m(r2 + r2 2 + r2 sin2 2 ). 2 (1) V = 1 k(r l)2 + mgr cos . 2 (2) The potential energy is The Lagrangian is L = T V . The coordinate is ignorable, and so the conjugat
School: Caltech
Course: Topics In Classical Physics
Physics 106a, Classical Mechanics Fall Term, 2013 Final Exam Do not read beyond this page until you are ready to start the exam! Due date: Due by 4pm in 149 Bridge on Friday 13 December. Late exams will require extenuating circumstances; otherwise, no cre
School: Caltech
Course: Topics In Classical Physics
Physics 106a, Classical Mechanics Fall Term, 2013 Midterm Do not read beyond this page until you are ready to start the exam! Material: The exam covers the material of Lectures 1-8. Due date: Due by noon in 149 Bridge on Monday November 4. Late exams will
School: Caltech
4/15 RedwoodCreateTemplate TruecollectionSalesSpreadsheetforMonaco ButeamConnect SerfConnectwithJerryandGarret SMMP CreateChecklistforPoliceWeekend Liabilitieswaiversforthisweekend EdgeMusicConnectwithLiz Call Attorney1099iscoming PaulsonSecurities DanFre
School: Caltech
Disney (Walt) Co. (The) (NYS: DIS) Financial Highlights as of 09/28/2013 in USD Income Statement Total Revenue EBITDA Operating Income Net Income Revenue per Share EPS from Continuing Operations EPS - Net Income - Diluted Share Outstanding Weighted Averag
School: Caltech
Course: Electricity Magnetism Practical
Ph1c Practical Quiz Solutions 2 Spring 2014 2.1 2.1.a (5 points) (1 point) Using the Faradays Law: L = a2 B0 cos t; R = 0 2 IL = 2.1.b VL 1 dL a wB0 = = sin t R R dt R VR 1 dR IR = = =0 R R dt (1 point) Since BR = 0 and IR = 0, The net force on the left a
School: Caltech
Course: Electricity Magnetism Practical
Ph1c Practical Quiz Solution 4 Spring 2014 4.1 4.1.a (8 points) (1 point) The capacitance of a parallel plate capacitor is 0 A D C= For circular plate capacitor, we simply subsitute A = R2 Obtaining C= 4.1.b 0 R2 D (2 points) The electric eld energy densi
School: Caltech
Course: Electricity Magnetism Practical
Ph1c Practical Quiz 3 Solutions Spring 2014 3.1 3.1.a (10 points) (2 points) IL (t) = 1 L V (t)dt = IC (t) = C 3.1.b d V (t) = V0 C cos t dt (2 point) Itot = IL + IC = V0 C 1 cos t = 0 L 1 1 = 0 L LC C = 3.1.c V0 cos t L (2 points) 1 2 1 V02 LIL (t)
School: Caltech
Course: Electricity Magnetism Practical
and let the device of interest be modeled by a square loop of wire of area A located a distance R from the power line. R A1/2 so that the magnetic eld due do I(t) can be approximated as a constant at any given time over the whole area A. Assume that the p
School: Caltech
Course: Electricity Magnetism Practical
Ph1c Practical Quiz 1 Solution April 26, 2014 Problem 1 (6 points) L 2v L 2v Fext x (b) t F ext N S t F ext N P = I 2R (c) 1.1 S L 2v L 2v N S Iring (a) L 2v L 2v t (a) (2 points) When the ring is far from the solenoid, the ux is almost zero. It is a fair
School: Caltech
Course: Electricity Magnetism Practical
June 6, 2014 PHYSICS 1c Prac FINAL EXAM This is an OPEN BOOK quiz with the following limitations: You may consult only your textbook (Serway & Jewett), notes that you have taken in recitation or lecture, course handouts, your own homework, and the posted
School: Caltech
Course: The Biology And Biophysics Of Viruses
4/27/2011 Ombuds Sign Up Midterm Format Part 1: 45 minutes to read + 2.5 hours to write Still need ombuds from: 1. 2. 3. 4. Do all three questions. You may use the time you have left in Part 2. Avery Blacker Lloyd Page Break (as long as you like) Pa
School: Caltech
Course: The Biology And Biophysics Of Viruses
6/2/2011 Guest Lecture Guest lecture given by Prof. David Anderson on Friday, June 3rd Course capture will NOT be available A question from the lecture will be on the final Work on extra credits if cant make to the lecture Final Format Will be posted
School: Caltech
Course: The Biology And Biophysics Of Viruses
0-A (+)sense RNA (plus-sense RNA) A virus with a single-stranded RNA genome of the same polarity ('sense') as mRNA. (-)sense RNA (minus-sense RNA) A virus with a single-stranded RNA genome of the opposite polarity ('sense') as mRNA. Abortive Infection Whe
School: Caltech
Course: Physics 2
PHYSICS DEPARTMENT EXAM SPRING 2013. PART I INSTRUCTIONS You should not have anything close to you other than your pens, pencils, calculator, and food items. Please deposit your belongings (books, notes, backpacks, phone etc.) in a corner of the exam roo
School: Caltech
Course: Management Of Technology
Outline 1 Electrical Drive Systems 324 Induction Machines Dr. P.J Randewijk Stellenbosch University Dep. of Electrical & Electronic Engineering Stephan J. Chapman Chapter 6 (5th Edition) Chapman, Chapter 6 6.1 Induction Motor Construction 6.2 Basic Induct
School: Caltech
Course: Classical Analysis
Math 108A / Fall 2013 (R. Frank) - Midterm Examination Due on Tuesday, November 5 at 11:00 AM 1 Instructions Please read the following carefully before starting the exam. Write your full name (First & Last) on each sheet of paper you use for the exam. En
School: Caltech
Course: Classical Analysis
Math 108A / Fall 2013 (R. Frank) - Final Examination Due on Thursday, December 12 at 10:00 AM 1 Instructions Please read the following carefully before starting the exam. Write your full name (First & Last) on each sheet of paper you use for the exam. En
School: Caltech
Course: General Chemistry 1
Name Section Rec TA Ch 1b MIDTERM Side 1 of 11 1. (30 points) a. Circle the more basic compound. BRIEFLY explain your choice. O H 3C O NH 2 H 3C OCH3 The better resonance for the amide puts a large charge on the O, and this is thus a good protonation site
School: Caltech
Course: General Chemistry 1
Name Section Rec TA Ch 1b, In-class Quiz One Thursday, Jan. 16, 2014 Side 1 of 2 1. (15 points) Draw, in the box, the final product that would be expected after workup of the reaction shown. HO O 15 points for exactly the structure shown 3 points
School: Caltech
Course: General Chemistry 1
Name Section Rec TA Ch 1b, In-class Quiz Two Thursday, Jan. 30, 2014 Side 1 of 2 1. (40 points) Consider the equilibrium process shown. a. Draw a mechanism for the reaction running from left to right (i.e., converting methyl acet
School: Caltech
Course: General Chemistry 1
SOLUTIONS Ch 1b, In- class Quiz Three Side 1 of 3 Thursday, Feb 27, 2014 EXACT POINT DISTRIBUTIONS WITHIN PROBLEMS MAY DIFFER FROM WHAT IS SHOWN HERE. 1. (15 points) Nitric oxide (NO) reacts with hy
School: Caltech
Course: Continuum Mechanics Of Fluids And Solids
Ae-Ge-ME 160b Continuum Mechanics of Fluids and Solids Winter 2014 February 10, 2014 Prof. D. M. Kochmann, Caltech Midterm Continuum Mechanics of Fluids and Solids February 10, 2014 exam policies During the exam you are allowed to consult the class notes
School: Caltech
Course: Elementary Particle Theory
Ph230 Final Presentations/Paper Monday Grant Remmen - Non-perturbative quantum hair on black holes Jason Pollack - Zamolodchikovs c-theorem for 2d QFTs Tristan McKinney - Anomalies in bosonization Petr Kravchuk - Non-abelian bosonization in 2d Zitao Wang
School: Caltech
Course: Continuum Mechanics Of Fluids And Solids
Ae-Ge-ME 160b Continuum Mechanics of Fluids and Solids Winter 2014 February 10, 2014 Prof. D. M. Kochmann, Caltech Midterm with Solutions Continuum Mechanics of Fluids and Solids February 10, 2014 exam policies During the exam you are allowed to consult t
School: Caltech
Course: Introduction To Abstract Algebra
MATH 5a: Solutions to Final 2013 1. We have that |S3p | = (3p)!. The Sylow p-subgroup of S3p has order p3 . Consider H = (1 2 p), (p + 1 p + 2 2p), (2p + 1 2p + 2 3p) be a subgroup of S3p generated by a = (1 2 p), b = (p + 1 p + 2 2p), c = (2p + 1 2p + 2
School: Caltech
Course: Introduction To Abstract Algebra
MATH 5a: Solutions to Midterm 2013 1. (5 points) Let H G. We will show that the map x x1 sends each left coset of H in G onto a right coset of H and gives a bijection between the set of left cosets and the set of right cosets of H in G. Let aH be a left c
School: Caltech
Course: Calculus Of One And Several Variables
MIDTERM SOLUTIONS Problem 1 (a) Note that, this only works for r = 1. In fact, if we dene 00 = 1 then this works for r = 0 as well. Base case: Take n = 0. Then, r0 = 1 = 1r 1r 1r 0+1 1r . = Now assume that for some n 0, n rj = j =0 n+1 n rj = 1 rn+1 1r rj
School: Caltech
Course: Calculus Of One And Several Variables
MA 1A MID-TERM EXAMINATION INSTRUCTOR: Time: N.H. KATZ 266 SLOAN FALL 2013 x2326 5 hours This exam should be completed in a standard blue book (or two) within ve hours, at one sitting. Be sure to write your full name and section number on the blue book. I
School: Caltech
Course: Physics 2
Ph2A - Quiz 3 Soultions 2 2 = p + c2 k 2 1. Pinhole Camera (a) Lightrays are parallel to each other (i.e. source is far away), therefore ne2 me 0 p = wg = a Note: Most of you assumed the form sin(kx (b) The central maximum of the diraction pat- t) (or c
School: Caltech
Course: Physics 2
1 1 1.1 QUIZ 4 SOLUTIONS Quiz 4 solutions Free particle (a) Normalization of at t = 0 means a ei =0 1 = A = = . 2a 2a |(x, 0)|2 dx = |A|2 2a = 1 a (1) (b) By de nition 22 p2 k = 2m 2m a 1 1 1 dx(x, 0)eikx = dx eikx (k ) = 2 2 a 2a x=a 1 ikx 1 1 ika 1
School: Caltech
Course: Continuum Mechanics Of Fluids And Solids
Ae-AM-ME-CE-102a/160a Continuum Mechanics/Mechanics of Solids Fall 2013 November 4, 2013 Prof. D. M. Kochmann, Caltech Midterm Solutions Continuum Mechanics of Fluids and Solids / Mechanics of Solids November 4, 2013 exam policies During the exam you are
School: Caltech
Course: General Chemisty
Ch 1a 2013 Side 1 of 4 Quiz Four Solution Key Problem 1 (35 points) a) 1 point for correct structure; point for incorrect/missing lone pairs or formal charge or bonding, up to 1 point, max. 1 point per correct response for domain geometries, bond angle, a
School: Caltech
Course: General Chemisty
Ch1a 2013 Side 1 of 1 Quiz Five Solution Key Problem 1 (45 points) a) This MO diagram should be the same as that drawn in homework 7 problem 4a. 15 points overall: 3 points: general shape, including dashed lines connecting atomic and bonding orbitals. Do
School: Caltech
Course: Waves
Solutions for 2013 Midterm Exam Phys. 12a H. J. Kimble (Dated: November 6, 2013) PROBLEM 1: SIMPLE OSCILLATORS Write an equation of motion and give the frequency for free oscillation of each of the systems shown in Figure 1 below. k1 a. 5 points m k2 b.
School: Caltech
Course: Waves
1 Physics 12a Fall Term, 2013 Cover Page Final Examination This exam covers Chapters 16 and Chapter 9.19.6 in Crawford, as well as the topics discussed in class, in the handouts, and in the homework. Due Date: Friday, 13 December 2013, at 5:00 pm SHARP to
School: Caltech
Course: Waves
1 Physics 12a Fall Term, 2013 Cover Page Midterm Examination This exam covers Chapters 13 in Crawford, as well as the topics discussed in class and in the handouts through 29 October, as well as the homework through Chapter 3. Due Date: Wednesday, 6 Novem
School: Caltech
Course: Introductory Course In Newtonian Mechanics
Physics 1a, Fall 2013 Quiz 4 Solutions Problem 1 (a) (1 Point) Suppose the direction of friction on m acted by M is left. Then the direction of a1 should be left. But the cylinder (m) rotates clockwise. This leads to a is toward right. Then a1 = a0 + a mu
School: Caltech
Course: Continuum Mechanics Of Fluids And Solids
Ae-AM-ME-CE-102a/160a Continuum Mechanics/Mechanics of Solids Fall 2013 December 11, 2013 Prof. D. M. Kochmann, Caltech Final with Solutions Continuum Mechanics of Fluids and Solids / Mechanics of Solids and Structures December 11, 2013 exam policies Duri
School: Caltech
School: Caltech
MIDTERM MA108A FALL 2013 (1) Problem 1 (a): Proof: rst of all, it is obvious that d(x, y ), (x , y ) 0 for any (x, y ), (x , y ) M M . Moreover, d(x, y ), (x , y ) = (x, x )2 + (y, y )2 = 0 if and only if both (x, x )2 and (y, y )2 ar zero if and only if
School: Caltech
School: Caltech
School: Caltech
Course: Quantum Mechanics
Ph125a, Fall 2012 Quantum Mechanics Prof. Alexei Kitaev Midterm Due Tuesday, November 6, 2012 This midterm is, essentially, a non-collaboration homework. You may use the lecture notes on the class web page, your own notes, and the books by Shankar and by
School: Caltech
Course: Quantum Mechanics
Ph125a, Fall 2012 Quantum Mechanics Prof. Alexei Kitaev Final exam Due Friday, December 14, 2012 This nal is, essentially, a non-collaboration homework. You may use the lecture notes on the class web page, your own notes, and the books by Shankar and by L
School: Caltech
Course: Quantum Mechanics
Solutions to the nal Ph125a, Fall 2012 (Written by Alexei Kitaev) 1. Special evolution operators. The eigenfunctions and eigenvalues of the Hamiltonian are as follows: 2 1 n2 . (1) n () = ein , En = 2mR2 2 Let us also calculate the evolution operator U (t
School: Caltech
Course: Quantum Optics
1 Physics 135b Winter Term, 2013 Cover Page Final Examination Due Date: Wednesday, March 20, at 5:00 pm SHARP to Room 12 E. Bridge in the Phys135b Homework Box. Alternatively, you may send a pdf le of your solutions to Nick Hunter-Jones, nickrhj@gmail.com
School: Caltech
Problem Set 2 ACM 116, Fall 2012 Assigned 9 October 2012. Due to Steele House by 4 pm on 16 October 2012. This assignment covers aspects of axiomatic probability, discrete and continuous random variables, expectation, and independence. This material shoul
School: Caltech
ACM/EE 116: Homework #3 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Decay). (a) Take the random variable X distributed as a Pareto with scale 1 and tail parameter . We have the cdf FX (x) = P(X x) = 1 x , Since X is nonnegative the tail function for
School: Caltech
Problem Set 6 ACM 116, Fall 2012 Assigned 13 November 2012. Due to Steele House by 4 pm on 20 November 2012. This assignment covers probability generating functions and branching processes. Starred problems are optional; see the syllabus for details. Doub
School: Caltech
ACM/EE 116: Homework #2 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Field of Dreams). (a) To show that Both F F G G and is a -eld, we show that For any countable set of events cfw_Ai i=1 in since they are For the event c A F G. . contain the imposs
School: Caltech
Course: Electricity And Relativity
Ph1b (analytic track): Solution to Homework 7 Chefung Chan, Winter 2008 Problem 3-3 ( 5 points ) Using Eqs.8 and 9, p.100 Purcell, we determine R so that half of Q, the induced charge on the plane, is contained within the circle of radius R: Q = 2 = 0 R
School: Caltech
MS/EST 143, Problem Set #4 assigned 04/18/11 due 04/22/11 1. Construct the Brouwer diagram for a pure binary oxide M2O, where M is a 1+ cation, for which, at the temperature of interest, the predominant defects are Schottky vacancies. Frenkel defects are
School: Caltech
ACM/EE 116: Homework #6 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Flounder). (a) Let X denote the number of listeners resulting from a single listener's actions in a given month. This fan will stop listening to Flounder (independent of other fans)
School: Caltech
ACM/EE 116: Homework #5 Solutions John Bruer (jbruer@cms.caltech.edu) 1. (Memento). (a) The geometric random variable X represents the number of failed iid Bernoulli trials performed before achieving a successful one. If the Bernoulli trials have common s
School: Caltech
Course: Electricity And Relativity
Ph1b (analytic track): Solution to Homework 8 Chefung Chan, Winter 2008 Problem 4-2 ( 5 points ) Each electron makes 3 108 m/s = 1.25 106 round trips per second. 240 m The charge passing any point, per second, is I = 1.25 106 1011 4.8 1010 = 6 107 esu/s =
School: Caltech
Problem Set 4 ACM 116, Fall 2012 Assigned 30 October 2012. Due to Steele House by 4 pm on 6 November 2012. This assignment covers basic transformations of random variables, sums of independent random variables, random walks, the law of large numbers, and
School: Caltech
Course: Astronomy And Cosmology
UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Physics 2014 WINTER GALAXIES AND COSMOLOGY TA: Jared Brooks SOLUTION SET #3 Problem 1: Scales relevant to (Ryden 4.1) 5 pts. What about the Galaxy? (size = 10 kpc, mass = 1011 M ) Solution: Extending t
School: Caltech
Course: Mechanics Of Structures And Solids
AE/AM/CE/ME 102b Homework 1 Solution Mechanics of Structures and Solids - Winter 2012 Xin (Cindy) Wang January 24, 2012 Oce Hours: Kaushik Bhattacharya (bhatta@caltech.edu) - By appointment Ha Giang (hagiang@caltech.edu) - Monday 5pm - 6pm, SFL Multimedia
School: Caltech
Course: Electricity And Relativity
P 1 A a taH 9 o t n hb nl i l W S l i yc uo C e n C a, i e20 hf g hnW n r 08 u t
School: Caltech
Course: Astronomy And Cosmology
UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Physics 2014 WINTER GALAXIES AND COSMOLOGY TA: Jared Brooks SOLUTION SET #8 Problem 1: Recombination and baryon to photon ratio (Ryden 9.1) 5 pts. The purpose of this problem is to determine how the un
School: Caltech
Course: Electromagnetic Engineering
EE 151 Electromagnetic Engineering Caltech Spring `05 Homework 5 Due Tuesday, May 10th in class 1. Anti-reflection (AR) coating: A transparent dielectric coating is applied to a glass substrate (r = 4,r = 1) to eliminate the reflection of a normall
School: Caltech
Course: Chemical
ChE 101 2012 Problem Set 6 Read Schmidt, Chapter 7 1. Derivation of the Langmuir isotherm: In this problem, we will use the tools of statistical mechanics to derive the Langmuir adsorption isotherm and understand how it changes with temperature. All of th
School: Caltech
Course: Numerical Linear Algebra
ACM 106a Fall 2012 Instructor: Thomas Hou Homework 5 Due Nov. 9, 5:00pm In this set, you will need the book Numerical Linear Algebra by Trefethen and Bau. If you do not have it, the needed pages are scanned for you. The points of each problem is mentioned
School: Caltech
Course: Astronomy And Cosmology
UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Physics 2014 WINTER GALAXIES AND COSMOLOGY TA: Jared Brooks SOLUTION SET #1 Problem 1: Neutrino Mass (Ryden 2.4) 5 pts. Suppose that the dierence between the square of the mass of the electron neutrino
School: Caltech
Course: Chemical
ChE 101 2012 Problem Set 2 Solutions 1. Consider the following reversible elementary reaction: A 2B The rate coefficient of the forward reaction is kf = 25 hr-1 , and the rate coefficient of the reverse reaction is kb = 4 M-1 hr-1 . The aqueous phase reac
School: Caltech
Name Section Rec TA Side 1 of 3 Ch 1a, Problem Set Eight Due Friday, November 18, 2005 at 4 PM Problem s 2 and 3 a re d esignated ( ) as no collaboration problems. 1. (30 Points) Molecular size is governed by factors including bond lengths and atomic radi
School: Caltech
8.1.11 u = a(1 u) uv 2 There is a xed point at (1, 0) for all a and k . Nullclines curves are given by u= a a + v2 and u= a+k v v = uv 2 (a + k )v Figure 1: Nullcline Curves as the parameters are varied These curves intersect when a+k a = 2 a+v v (0.1) s
School: Caltech
Course: General Chemistry
Name Section Rec TA Side 1 of 9 Ch 1b, Problem Set One Due Friday, Jan. 7, 2011 at 4 PM PST in the Drop Box 1. Molecular Hybridization (15 points) Below, the chromophore of neocarzinostatin is shown. This enediyne molecule, in conjunction with its apoprot
School: Caltech
Answer Key Side 1 of 5 Problem One Lewis and VSEPR 10 points each a. CO2, linear O C O O C O Ch 1a, Problem Set Six Due Friday, Nov. 5, 2004 d. PH3, trigonal pyramidal P acceptable, not required b. PF5, trigonal bipyramidal F F P F F F H H H e. HCP, linea
School: Caltech
Course: Mathematical Methods Of Physics
Math 157b. Spring 2005. Homework problems 1. Let M be a complete simply connected Riemannian manifold of constant sectional curvature. (a) Show that the isometry group of M acts transitively on the set cfw_(x, y) M M : d(x, y) = r. (b) Prove that Isom(S n
School: Caltech
Course: Relativistic Quantum Mechanics
California Institute of Technology Physics 129a Fall 2014 (Spiropulu) Problem Set 3 (due Oct 28) 1 Given that H is a subgroup of G and N is a normal subgroup of G, prove that N H is a normal subgroup of H. 2 Given a group G we dene its commutator subgroup
School: Caltech
Course: Relativistic Quantum Mechanics
California Institute of Technology Physics 129a Fall 2014 (Spiropulu) Problem Set 2 (due Oct 21) 1 Prove that SL(2, R) := a b c d a, b, c, d R, ad bc = 1 forms a group under matrix multiplication. 2 Prove that the Heisenberg group of 1 a H := 0 1 0 0 uppe
School: Caltech
Course: Relativistic Quantum Mechanics
Here is an extra part of problem 3 from homework 4, if youre interested. It is not required and will not contribute to your grade; its just for fun. (d) The most general Galilean transformation takes the form t t + a, x x V t + b. (1) Dene the correspondi
School: Caltech
Course: Relativistic Quantum Mechanics
Physics 205a, Problem Set 7, Due December 11 1 Problem 1 Derive the Gordon identity u(p ) u(p) = u(p ) p , + p q +i u(p) 2m 2m (1) where q = p p. 2 Problem 2 Verify that the propagator for the Dirac propagator found in class satises SF (x y) = 0|(x0 y 0
School: Caltech
Course: Relativistic Quantum Mechanics
Physics 205a, Problem Set 1, Due October 16 1 Problem 1 Redo what we did in class for non-relativisitic eld theory in the case where the particles are identical spin 1/2 fermions. Leave out the potential term as we did in class for the boson case. 2 Probl
School: Caltech
Course: Relativistic Quantum Mechanics
Physics 205a, Problem Set 2, Due October 23 1 Problem 1 Consider a eld theory with N real scalar elds, a , a = 1, ., N . The Lagrange density is 1 a a m2 a a (a a )2 (1) 2 4 where the repeated indices are summed over. (a) What are the equations of motion
School: Caltech
Course: Topics In Classical Physics
Physics 106a Problem Set 7: Solutions December 5, 2013 Problem 1: Angular momentum: DAlemberts principle is Fi ri = pi ri , (1) i i with ri the change in position ri (with respect to some xed origin) of each particle in some chosen virtual displacement. W
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Problem Set 3 Solutions November 2, 2013 Problem 1: Holonomic and nonholonomic When we denote the center of one wheel on the (x, y)-plane as (x1 , y1 ) and the center of the other wheel as (x2 , y2 ), they satisfy xi = a i sin , yi = a i cos
School: Caltech
Course: Topics In Classical Physics
Physics 106a Problem Set 5: Solutions November 21, 2013 Problem 1: Generating functions A type-2 generating function for a canonical transformation (q, p) (Q, P ) is F2 (q, P ) = q 2 eP . (a) The type-2 generating function gives F2 =2qeP , q F2 =q 2 eP .
School: Caltech
Course: Topics In Classical Physics
Physics 106a Problem Set 6: Solutions November 26, 2013 Problem 1: Rotation matrix for axis n and angle (a) One has to show that A jk A jl = kl . The following identities are useful. i jk ilm i jk n j n k = jl km jm kl (1) =0 (2) Also note that n i n i =
School: Caltech
Course: Topics In Classical Physics
Physics 106a Assignment 4 Solutions November 15, 2013 Problem 1: Binary-sun solar system (a) The kinetic energy of the pair of suns 1 M x 2 + y2 + Z 2 = M 2 = M R2 + R2 2 + Z 2 R cos R sin TM = 2 2 + R sin + R cos 2 + Z2 (1) (2) The kinetic energy of t
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Problem Set 1 Solutions October 22, 2013 Problem 1: Effect of massive spring Because we assume that the spring stretches uniformly, when its endpoint moves by x, the displacement of a point a distance y along the spring is = (y/L)x with L th
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Problem Set 2 Solutions October 29, 2013 Problem 1: Degrees of freedom and constraints (a) There are M + 1 degrees of freedom. One argument is as follows. The position of the rst particle gives 2 degrees of freedom. After this, there is 1 an
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Assignment 2 11 October, 2013; due 4pm Friday, 18 October in the Ph106 In Box in 149 Bridge Constraints, Virtual Work, and Lagrangian Dynamics Reading You can now read the complete chapters 1 and 2 in Hand and Finch or 6 and 7 in Taylor on L
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Assignment 5 8 November, 2013; due 4pm Friday, 15 November in the Ph106 In Box in 149 Bridge Canonical Transformations etc. Reading Hand and Finch Chapter 6. Taylor does not cover these topics. The discussion in Goldstein et al. is considera
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Assignment 7 Rotational Motion 15 November, 2013; due 4pm Friday December 6 in Room 149 Bridge Reading Read Hand and Finch Chapter 8 on rigid body rotations, except 8.5 which I think is confused (see my notes instead), and 8.9 which is rathe
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Assignment 6 15 November, 2013; due 4pm Friday November 22 in Room 149 Bridge Reading I do not entirely like Hand and Finchs treatment in Chapter 7, so my notes are more extensive than usual. In particular I nd 7.5 unnecessarily complicated.
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Assignment 4 1 November, 2013; due 4pm Friday, 8 November in the Ph106 In Box in 149 Bridge Hamiltonian Formulation Reading Hand and Finch Chapter 5. You should also review Chapter 4 on central forces if you did not do this for the midterm.
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Assignment 3 18 October, 2013; due 4pm Friday, 25 October in the Ph106 In Box in 149 Bridge Constrained dynamics and small oscillations Reading Constrained dynamics: HF 2.6-8, T 7.3,7.10. You should work through some problems on the simpler
School: Caltech
Course: Topics In Classical Physics
Physics 106a: Assignment 1 4 October, 2013; due 4pm Friday, 11 October in the Ph106 In Box in 149 Bridge Remember: only identify your solution set with your class id number, not your name. Variational Approach and Lagrangian Dynamics Reading I am teaching
School: Caltech
Course: Relativistic Quantum Mechanics
California Institute of Technology Physics 129a Fall 2014 (Spiropulu) Problem Set 5 (due Nov. 18) 1 Consider the Lie algebra g of a Lie group G dened by [Ta , Tb ] = ifab c Tc , where the sum over c is implicit. The indices a, b, and c run over 1, 2, . .
School: Caltech
Course: Relativistic Quantum Mechanics
California Institute of Technology Physics 129a Fall 2014 (Spiropulu) Problem Set 7 (due Dec. 5) 1 Consider the group SU (3) and suppose another natural way of choosing Hj and E : 1 0 0 1 H1 = 0 1 0 2 0 0 0 0 0 0 1 H2 = 0 1 0 2 0 0 1 and 0 0 E = 0 0 0 E
School: Caltech
Course: Relativistic Quantum Mechanics
California Institute of Technology Physics 129a Fall 2014 (Spiropulu) Problem Set 6 (due Nov. 25) 1 We consider the group SU (3) generated by Ta = 1 a , where a are the 2 Gell-Man matrices. Choose as Cartan generators H1 = T3 , H2 = T8 The step operators
School: Caltech
Course: Relativistic Quantum Mechanics
California Institute of Technology Physics 129a Fall 2014 (Spiropulu) Problem Set 1 (due Oct 14) 1 Which of the following dene groups? For those that do not explain the reasons The set of all complex n n matrices when the group operation is matrix multip
School: Caltech
Course: Relativistic Quantum Mechanics
California Institute of Technology Physics 129a Fall 2014 (Spiropulu) Problem Set 4 (due Nov. 4) 1 Consider the symmetry group of the equilateral triangle. When the coordinates undergo some tranformation of the group the quadratic form x2 y2 a + bxy + c
School: Caltech
Course: Relativistic Quantum Mechanics
Homework 5 Solutions Ph 205a 1. a = a / = a [cfw_ , ] = a [2 ] = 2/ 4/ a a (1) = 2/. a a/ = a b /b = a b ( + 2 )( + 2 ) = a b ( 2 2 + 2 2 ) = (4/ 2/ 2/ + 4a b) ab ab ab (2) = 4a b. a/ = a b c /b c = a b c ( + 2 ) ( + 2 ) = a b c ( 2 2 + 2 2 ) = a b
School: Caltech
Course: Relativistic Quantum Mechanics
Physics 205a, Problem Set 6, Due November 20 1 Problem 1 So far we have discussed two quantum eld theories for free particles, Klein Gordon scalars and Dirac fermions . What are the dimensions of these elds? Writing the dimension as (mass)p , just give th
School: Caltech
Course: Relativistic Quantum Mechanics
Physics 205a PS4-solutions Enrico Herrmann November 11, 2014 Problem 1 (a) For k1 = k2 and k 1 = k 2 what is the inner product k 1 , k 2 |k1 , k2 ? From our denition of single-particle states |k1 = 2Ek1 a |0 , we calculate the normalization k1 of states1
School: Caltech
Course: Relativistic Quantum Mechanics
Physics 205a, Problem Set 5, Due November 13 1 Problem 1 Show that a = 2/ a / / a b =4a b / / a b / = 2/a c b/ / c Tr 2 (1) (4) (2) (3) Problem 2 Find Dont just follow the path we used for the trace of a product of four gamma matrices. Rather insert
School: Caltech
Course: Relativistic Quantum Mechanics
Physics 205a, Problem Set 4, Due November 7 1 Problem 1 In Klein Gordon eld theory for a free real scalar a two particle state with one particle having momentum k1 and the other k2 is denoted by |k1 , k2 and dened by, |k1 , k2 = 2Ek1 2Ek2 a 1 a 2 |0 (1) k
School: Caltech
Course: Relativistic Quantum Mechanics
Physics 205a, Problem Set 3, Due October 30 1 Problem 1 In constructing the Hilbert space for the Klein Gordon eld theory we assume there is a state |0 such that ap |0 = 0. Suppose that isnt the case, what goes wrong? Limit your answer to one or two sente
School: Caltech
Course: Relativistic Quantum Mechanics
Homework 3 Solutions Ph 205a 1. There are probably several acceptable answers to this question. Ill give a couple. 1) If there is no state annihilated by lowering operators, the Hamiltonian is not bounded from below, which means that once we allow for int
School: Caltech
Course: Relativistic Quantum Mechanics
Physics 205a PS2-solutions Enrico Herrmann October 24, 2014 Problem 1 (a) The equations of motion are given by the Euler-Lagrange equation, L L =0 ( ) a + m2 a + 2 a = 0 (1) (2) (b) Show that the transformations, a a = a + ab b , leave the Lagrange dens
School: Caltech
Course: Relativistic Quantum Mechanics
Homework 1 Solutions Ph 205a Excerpts from the rst chapter of Quantum Theory of Many-Particle Systems by Fetter and Walecka have been uploaded to the Additional Resources section of the website. If you are still confused after looking at these solutions,
School: Caltech
MA 2B ASSIGNMENT 3 SOLUTIONS KEVIN LINGHU Exercise 1 (Problem 3.3.15 in Pitman). (15 pts) a. Let X and Y be independent random variables. Show that Var(X Y ) = Var(X + Y ). b. Let D1 and D2 represent two draws at random with replacement from a population
School: Caltech
MA2B SOLUTIONS TO HOMEWORK 4 INSTRUCTOR: KIM BORDER 205 BAXTER HALL WINTER 2013 4218 Exercise 1 Essentially all the code was given. In the listing on the next page you can nd a complete R script, which produces desired graphics for Binomial64 and Binomial
School: Caltech
Bank of America Corp. (NYS: BAC) Issue: Bank of America Corp. (NYS:BAC) Date: From 02/28/1994 to 02/28/2014 Frequency: monthly Adjusted Prices Historical Pricing Date Open High Low Close Volume 02/28/2014 01/31/2014 12/31/2013 11/29/2013 10/31/2013 09/30/
School: Caltech
Course: Introduction To Quantum Physics
Physics 12b 3-Dimensional Quantum Physics 3 6 98 These plots were produced using the IQ program from the book Quantum Mechanics on the Macintosh" by Siegmund Brandt and Hans Dieter Dahmen Springer Verlag, 1991. All the relevant mathematics is in Libo , se
School: Caltech
Course: Computer Language Shop
C track: assignment 5 Goals In this assignment you will write a program to simulate a simple one-dimensional cellular automaton, which are related to (but are not the same as) two-dimensional cellular automata like Conway's game of Life. We will use this
School: Caltech
Course: Computer Language Shop
C track: assignment 8: Implementing a virtual machine Goals This lab is the last assignment in this track. By now you know almost all the important aspects of the C language, with the exception of a few features like function pointers which aren't really
School: Caltech
Course: Computer Language Shop
C track: assignment 7 Goals This week, we are going to move beyond a discussion of built-in features of the C language (we've covered most of them already) and continue discussing how to implement fundamental data structures in C. The data structure we wi
School: Caltech
Course: Computer Language Shop
C track: assignment 6 Goals In this assignment you will write a sorting program similar to the program from lab 3, except that it uses linked lists instead of arrays to hold the list of numbers read in off the command line. In the process, you will learn
School: Caltech
Bi 1x: The Great Ideas of Biology An Introduction Through Experimentation Spring 2010 Lab Safety Handout Overview Relative to other types of labs, biology labs are generally very safe environments. However, there are some hazardsyou will work with, among
School: Caltech
Course: Application Of Diffraction Techniques In Materials Science
Materials Science 142 Laboratory Exercises 6 Instrument Peak Profile and Particle Size Analysis Goal: Determination of the particle size and possible microstrain in a sample. Evaluate the various contributions to the instrumental peak broadening. Par
School: Caltech
Course: Relativistic Quantum Mechanics
Chapter 2 Lie Groups A Lie Group is a group which is also a manifold, thus there is a small neighborhood around the identity which looks like a piece of RN , where N is the dimension of the group. The coordinate unit vector Ta are the elements of the Lie
School: Caltech
Course: Relativistic Quantum Mechanics
Time evolution in the Fourier expansion of the Klein-Gordon eld A question was asked in lecture on 10/15 regarding the time evolution of the possible solutions to the Klein-Gordon equation. In particular, we had the following representation of the eld in
School: Caltech
Course: Management Of Technology
Objective To learn to determine the saturation characteristics, the core losses, and the equivalent circuit parameters of a single-phase transformer. Procedure Part 1: Figure 1: Open Circuit One-Phase Transformer Connect the circuit shown in Figure 1, and
School: Caltech
Course: Management Of Technology
Outline Electrical Drive Systems 324 AC Machinery Fundamentals 1 Dr. P.J Randewijk Stellenbosch University Dep. of Electrical & Electronic Engineering Chapter 3 AC Machinery Fundamentals 3.2 AC Machinery Fundamentals 3.3 MMF & Flux distribution on AC Mach
School: Caltech
Course: Electromagnetic Engineering
EE 151 Electromagnetic Engineering CALIFORNIA INSTITUTE OF TECHNOLOGY DEPARTMENT OF ELECTRICAL ENGINEERING EE 151 Electromagnetic Engineering Spring 2005 _ Announcements You can pick up the graded final exam in the box outside room 238
School: Caltech
Wal-Mart Stores, Inc. (NYS: WMT) General Company Information Principal Office 702 S.W. 8th Street Bentonville, AR 72716 USA Website www.walmart.com Phone 479 273-4000 Primary NAICS 452990 : All Other General Merchandise Stores Auditor Ernst & Young LLP Cl
School: Caltech
Bank of America Corp. (NYS: BAC) Issue: Bank of America Corp. (NYS:BAC) Date: From 02/28/1994 to 02/28/2014 Frequency: monthly Adjusted Prices Historical Pricing Date Open High Low Close Volume 02/28/2014 01/31/2014 12/31/2013 11/29/2013 10/31/2013 09/30/
School: Caltech
Fall 2013 Syllabus CS/EC 133: Electricity Markets Meets Wednesday- Friday: 1- 230 pm in Baxter 25. Instructor: John Ledyard Office: Baxter 102, x8482, Email: jledyard@caltech.edu, Office Hours:
School: Caltech
BEM 109 Spring 2013 Fixed Income and Credit Risk Derivatives Instructor: Jianfeng Zhang, 207 Baxter, Tel: 626-395-4558, Email: jzhang2@caltech.edu Time and location: Th 6:00pm - 9:00pm, 127 Baxter. Oce hours: Th 4:30pm - 6:00pm, 207 Baxter Textbooks (requ
School: Caltech
Course: Decidability And Tractability
CS21: Decidability and Tractability course information and tentative schedule Catalog description: This course introduces the formal foundations of computer science, the fundamental limits of computation, and the limits of ecient computation. Topics will
School: Caltech
Course: Asian History
2/4/2011 Psych/Info/Cogst 2140/6140 admin d Psych/Info/Cogst 2140/6140 admin details The main idea behind this course is that the concept of computation is central to the understanding of cognition. Each week during this semester, I shall examine one of t
School: Caltech
Course: Physics
Ay 21: Galaxies and Cosmology -Syllabus 2012 Winter Term, Caltech Meets in 219 Cahill. Tuesday 2:30-3:30pm, Wednesday 2:30-3:30pm, Friday 3:00-4:00pm Homework help session: Sundays, 5:00pm starting Jan 15, in 219 Cahill., or by appointment with the TA or
School: Caltech
Course: Physics
Ph125c - Quantum Mechanics Ph125c - Quantum Mechanics - Spring 2007 MW 9:30-11:00am / 107 Downs TA Prabha will conduct a final exam review in room 425 Lauritsen, at 4:00pm on Monday 4 June. Homework projects are due soon: 5/29 (seniors/grad students) or 6
School: Caltech
Course: Physics
ACM95b/100b Introductory Methods of Applied Mathematics ACM95b/ACM100b Introductory Methods of Applied Mathematics Topics,Texts, Handouts, Homework, Exams, Grading, Ombudspersons, Schedule, Sections, TAs Instructor Sterl Phinney 125 Bridge Annex esp [at]
School: Caltech
Course: Organic Chem
ORGANIC CHEMISTRY 41a Fall 2012 Robert H. Grubbs Office 363 Crellin x6003 Email: rhg@caltech.edu Lecture: MWF 9:00 am 153 Noyes Book: ORGANIC CHEMISTRY, 5th Ed G. Marc. Loudon GRADING Final 40%, Midterm 30%, Homework and Quizzes 30% For final grade, the l
School: Caltech
CS 151 Complexity Theory Spring 2011 Course Summary and Syllabus Lecturer: Chris Umans Date: March 29 Course summary: Complexity Theory attempts to answer the question: What is computationally feasible given limited computational resources? In this course
School: Caltech
CS 9 Introduction to Computer Science Research Fall 2011 Course Summary and Syllabus Date: October 5 This course will introduce the research areas of the computer science faculty, through weekly overview talks by the faculty aimed at rst-year undergraduat
School: Caltech
Materials Science / Energy Science and Technology 143 Solid State Electrochemistry for Energy Storage and Conversion http:/addis.caltech.edu/teaching/MS-EST143/MS-EST143.html Spring Quarter 2011 Instructor: Prof. Sossina M. Haile, 307 Steele, x2958, smhai
School: Caltech
Materials Science / Energy Science and Technology 143 Solid State Electrochemistry for Energy Storage and Conversion http:/addis.caltech.edu/teaching/MS-EST143/MS-EST143.html Spring Quarter 2009 Instructor: Prof. Sossina M. Haile 307 Steele Laboratories,
School: Caltech
Chemistry 41c: Organic Chemistry Spring 2011 Brian M. Stoltz office: 301c Schlinger lab: 302 Schlinger phone: (626) 395-6064 office hours: by appointment email: stoltz@caltech.edu web: http:/stoltz.caltech.edu/ Teaching Fellows: stoltzclassTA@caltech.edu
School: Caltech
Physical Chemistry for Biochemists (Ch24) Instructor Jim Heath heath@caltech.edu 16A Noyes TAs Alex Sutherland (head TA) asutherl@caltech.edu Jessica Pfeilsticker pfeilst@caltech.edu Course Material fluorophores, labeling chemistries, fluorescent reporter
School: Caltech
Course: Introduction Of Chemistry
General Information Course Syllabus Chem 1b, Winter 2009-2010 Updated 1/2/10 Ch1b General Information and Course Syllabus Course Instructors: James R. Heath 16A Noyes, x6079, heath@caltech Sarah E. Reisman 349 Crellin, x6044, reisman@caltech Profs. Heath
School: Caltech
Course: Introduction Of Chemistry
General Information Course Syllabus Ch1a, Fall 2009 Updated: 25 Sep 2009 Ch1a General Information and Course Syllabus Course Instructor Nathan S. Lewis 210 Noyes, x6335, nslewis@its Professor Lewis will plan the curriculum, deliver the lectures, and write
School: Caltech
Course: Knowledge And Reality
1 Knowledge and Reality Hum/Pl 9 Fall 2008 Instructor: Christopher Hitchcock Office: 210 Dabney Phone: (626) 395-3602 e-mail: cricky@caltech.edu Office Hours: After class, by appointment, or call first and stop by Course Website: https:/courses.hss.caltec
School: Caltech
ChE103 Syllabus 2004-2005 Academic Year 103a: Momentum Transfer Week 1: Classical Mechanics; Dimensional Analysis Week 2: Continuum Mechanics Week 3: Momentum Transport with One Independent Coordinate Week 4: Momentum Transport with One or More Inde
School: Caltech
SS 201c: Analytical Foundations of Social Science 1. Instructor: Federico Echenique Oce: 311 Baxter Email: fede@hss.caltech.edu Lectures: Tuesdays and Thursdays 10.3011.55 am, 128 Baxter. Webpage: www.hss.caltech.edu/~fede/ss201/ 2. Texts: Bewley, Ge
School: Caltech
Course: Special Topics In The Geological Sciences
SPRING 2008 Ge192 SEDIMENTARY GEOCHEMISTRY ON EARTH AND MARS 9 Units (3-0-6) Instructor: Scott McLennan, Rm. 107NM (Scott.McLennan@sunysb.edu) Teaching Assistant: Margarita Marinova, Rm. 154SM MeetingTimes: Tues, Thurs: 10:30-12 ; Office Hours: _ DES
School: Caltech
Physics 223a - Advanced Condensed Matter Physics (Fall 2008) Class meetings: Monday and Wednesday 10:3012:00 at 103 Downs. Web page: http:/www.cs.caltech.edu/courses/ph223/ Instructor: Alexei Kitaev 280 Jorgensen Mail Code: 256-80 Phone: (626)395-876
School: Caltech
Course: Introduction To Economics
ECONOMICS 11:INTRODUCTION TO ECONOMICS SPRING TERM 2005 Instructor: Simon Wilkie Office: Baxter 115 Phone: X2416 Email: wilkie@hss Secretary: Patricia Hamad Her Office: Baxter 113 Her Phone: X3586 This course will provide an introduction to modern Ec
School: Caltech
Ph/EE 118A - Fall 2008 Principles of Measurement* Tu, Th 2:30-3:55pm / Sloan Sub-Basement Conf. Room Make-up Lecture Times: t.b.d Prof.: Michael Roukes, x2916, Sloan Annex 104(mroukes@caltech.edu) T.A.: Paula Popescu, x2647, 325 Downs (ppopescu@c
School: Caltech
Chemistry 14 (2-0-4) Spring Term 2009 Chemical Equilibrium and Analysis Chemistry 14 develops the basic principles of chemical equilibrium, emphasizing acidbase equilibria, complex ion formation, solubility and oxidation-reduction reactions. Other t
School: Caltech
Polymer Physics (ChE/Ch 148) Instructors: TA: Grading: Syllabus Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12 Lecture 13 Lecture 14 Lecture 15 Lecture 16 Lecture 17 Lecture
School: Caltech
CHE 103C TRANSPORT PHENOMENA (MASS TRANSPORT) SPRING QUARTER 2005 INSTRUCTOR: MARK DAVIS, 215 SPALDING , X4251 Topic 1. Binary Diffusion (i) gases (ii) liquids (iii) solids (iv) porous media 2. Multicomponent Diffusion (i) homogeneous media (ii) hete
The average total SAT score for students admitted to Caltech for the 2012 academic year was 2270. This combined score can be broken into 780 for math, 745 for critical reading and 745 for writing.
The average ACT score for students admitted to Caltech for the 2013-2014 academic year was 34.
At Caltech, 91% of students submitted an SAT score, but Caltech accepts both the SAT and ACT.
| Secondary School Record | Secondary School GPA | Secondary School Rank | Letters of Recommendation | Admission Test Score | AP Credits |
|---|---|---|---|---|---|
| Required | Not Recommended | Not Recommended | Required | Required | No |
The tuition cost for students attending Caltech is $38,085.
Financial aid options are available to students at Caltech. In 2013, 72 percent of first-time students attending Caltech received some form of financial aid - student loans, grants or scholarships
| Type of Aid | No. Receiving Aid | % Receiving Aid | Total Aid Received | Average Aid Received |
|---|---|---|---|---|
| Any Student Financial Aid | 175 | 72% | - | - |
| Grant Aid | 140 | 57% | $4,402,278 | $31,445 |
| Student Loans | 71 | 29% | $392,293 | $5,525 |
| Type of Aid | No. Receiving Aid | % Receiving Aid | Total Aid Received | Average Aid Received |
|---|---|---|---|---|
| Grant Aid | 643 | 66% | $18,419,615 | $28,646 |
| Student Loans | 266 | 27% | $1,142,211 | $4,294 |
| Year | Income: < 30K | Income: 30K - 48K | Income: 48K - 75K | Income: 75K - 110K | Income: > 110K |
|---|---|---|---|---|---|
| 2011-2012 | $6,444 | $2,413 | $8,479 | $24,274 | $35,539 |
| 2010-2011 | $310 | $1,742 | $6,379 | $19,275 | $36,163 |
| 2009-2010 | $9,295 | $1,502 | $9,116 | $19,890 | $36,433 |
| Highest Degree Offered | Continuing Professional Programs | Academic and Career Counseling Services | Employment Services for Students | Placement Services for Graduates | Study Abroad |
|---|---|---|---|---|---|
| Doctoral | No | Yes | Yes | Yes | Yes |
|
|
: |
|
0.732 MILLION PER STUDENT |
Source: National Center for Education Statistics (NCES), Institute of Education Sciences, 2012-2013
Course Hero, Inc. does not independently verify the accuracy of the information presented above.
Earn Money