Instructions:
0 \Vrite your Name, PID, and Section (for example BOQ) on the front of your Blue Book.
0 You may use a pen, a pencil and eraser, and a one-sided sheet of notes.
0 In particular, this means no calculator or any electronic devices, textbooks,
MATH 109 FALL 2016 SAMPLE MIDTERM 2
Instructions: Justify all of your answers, and show your work. You may use the result
of one part of a problem in the proof of a later part, even if you do not complete the proof
of the earlier part. You may quote basic
Vector Calculus Practice Midterm 2
1. Find all points (u0 , v0 ) such that the parametrization (u, v) = (u + v, u + v, 2uv) is not
smooth (regular).
2. Let S be the triangle with vertices (1, 0, 0), (0, 1, 0), (0, 0, 1).
(a) Find the domain D in R2 and th
MATH 109 WINTER 2015 MIDTERM 1
Instructions: Justify all of your answers, and show your work. You may use the result of
one part of a problem in the proof of a later part, even if you do not complete the proof of
the earlier part. You may quote basic theo
Vector Calculus 20E, Spring 2012, Lecture B, Final exam
Three hours, eight problems. No calculators allowed.
Please start each problem on a new page.
You will get full credit only if you show all your work clearly.
Simplify answers if you can, but dont wo
Table of Contents
Warren College Advising Services
University Requirements
Warren College General-Education Requirements
Choosing Programs of Concentration
Interdisciplinary PofCs
Specialized PofCs - Humanities & Fine Arts
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Intellectual Need 1
Intellectual Need and Problem-Free Activity in the Mathematics Classroom
Evan Fuller, Jeffrey M. Rabin, Guershon Harel
University of California, San Diego
Correspondence concerning this article should be addressed to:
Evan Fuller, Depa
POLARIZATIONS AND NULLCONE OF
REPRESENTATIONS OF REDUCTIVE GROUPS
HANSPETER KRAFT AND NOLAN R. WALLACH
Abstract. The paper starts with the following simple observation. Let V be
a representation of a reductive group G, and let f1 , f2 . . . , fn be homoge
Graph Theory in the
Information Age
Fan Chung
I
n the past decade, graph theory has gone
through a remarkable shift and a profound
transformation. The change is in large part
due to the humongous amount of information that we are confronted with. A main w
Why Math? Why UCSD?
Undergraduate Program
Mathematics provides powerful intellectual tools that have led
to tremendous advances in modern science and technology.
The department offers seven different undergraduate degree
programs to accomodate various int
Ciphers
Math 187 - Spring 2013
Naneh Apkarian
Caesar Shift Cipher This is a simple monoalphabetic substitution cipher based on a single
cipher alphabet, corresponding to a fixed shift. For example, the Caesar shift with key M has
cipher alphabet:
plaintex
Entry to the Majors
- updated 6/30/16
As of June 24, 2016, ALL majors within the Department of Mathematics are capped.
This means:
A limited number of spaces will be available specifically for New Freshman.
A limited number of spaces will be available spe
Department of Mathematics, University of California, San Diego
PRELIMINARY DEGREE CHECK
MAJOR in MATHEMATICS-Probability & Statistics (MA35)
Name:
Admit quarter:
PID:
Graduating Quarter:
Major GPA:
Lower-Division Requirements
Mathematics (24 units tot
Syllabus
Linear Algebra (Math 20F)
Course: Math 20F: Linear Algebra
Instructor: Ekaterina Merkurjev
Email: [email protected]
Lecture: MWF 9:009:50am in Peter 110
Class Website: http:/www.math.ucsd.edu/emerkurj/Math20F.htm
Prerequisite: Math 20C (or Math
EXPLOITING MULTIMEDIA CONTENT: A
MACHINE LEARNING BASED APPROACH
EHTESHAM HASSAN
DEPARTMENT OF ELECTRICAL ENGINEERING
INDIAN INSTITUTE OF TECHNOLOGY DELHI
NOVEMBER 2012
EXPLOITING MULTIMEDIA CONTENT: A
MACHINE LEARNING BASED APPROACH
by
EHTESHAM HASSAN
De
Customer Targeting in E-Commerce: A
Feature Selection and Machine
Learning Approach
Bharath Alamanda
Advisor: Professor Alain Kornhauser
Submitted in partial fulfillment
of the requirements for the degree of
Bachelor of Science in Engineering
Department o
Learning a Strategy for Adapting a
Program Analysis via Bayesian Optimisation
Hakjoo Oh
Hongseok Yang
Kwangkeun Yi
Korea University
[email protected]
University of Oxford
[email protected]
Seoul National University
[email protected]
Abstract
Verification as Learning Geometric Concepts
Rahul Sharma1 , Saurabh Gupta2 , Bharath Hariharan2 ,
Alex Aiken1 , and Aditya V. Nori3
1
2
Stanford University, cfw_sharmar,[email protected]
University of California at Berkeley, cfw_sgupta,[email protected]
Learning to Decipher the Heap for Program Verification
Marc Brockschmidt1 , Yuxin Chen2 , Byron Cook3 , Pushmeet Kohli1 , Daniel Tarlow1
1 Microsoft Research
2 ETH Zurich
3 University College London
Abstract
An open problem in program verification is to v
1
Short-Term Power Forecasting of Solar PV Systems Using
Machine Learning Techniques
Mayukh Samanta
Bharath K. Srikanth
Jayesh B. Yerrapragada
Abstract
Roof-top mounted solar photovoltaic (PV) systems are becoming an increasingly popular means of incorpor
Greens Theorem.
Greens theorem and examples.
Greens theorem relates double integrals with line integrals in the plane. If R
is a closed bounded region then we can compute double integrals of scalar fields
over R, and if R denotes the boundary of R (observ
Math 122
Spring 2012
12.7 # 10, 14, 38
RRR
10. Evaluate
y dV where E is the region bounded by the planes x = 0, y = 0, z = 0, and
E
2x + 2y + z = 4.
We have that E is bounded above by z = 4 2x 2y, and below by z = 0, giving us the
bounds on the interior i
MA 105 D3 Lecture 35
Ravi Raghunathan
Department of Mathematics
Autumn 2014, IIT Bombay, Mumbai
Surface integrals: fluid flow, electric flux, heat flow
Stokes Theorem
Circulation
An application to electromagnetism
More examples
Fluid flow
If S is an orien
Math 261-00
4222004
Review Sheet for the Final
These problems are provided to help you study. The presence of a problem on this handout does not
imply that there will be a similar problem on the test. And the absence of a topic does not imply that it
wont
Vector Calculus (MATH 20E) Fall 2014
Midterm 1 Solutions (Version A)
1. (10 points) Let f (x, y) = exy .
(a) Find the tangent plane to the surface given by the graph of the function z = f (x, y) at the
point (1, 0, 1).
Solution Since f = yexy and f = xexy
MATH 20E (Lecture C), Final Exam
March 17, 2014
Name:
Instructions:
Write your Name, PID, and Section (for example C02) on the front of your Blue Book.
You may use a pen, a pencil and eraser, and a two-sided sheet of notes.
In particular, this means no
Vector Calculus (MATH 20E) Fall 2014
Midterm 1 Solutions (Version B)
1. (10 points) Let f (x, y) = ex
2 y 2
.
(a) Find the tangent plane to the surface given by the graph of the function z = f (x, y) at the
point (1, 1, 1).
2
2
Solution Since f = 2xex y a
Vector Calculus (MATH 20E) Fall 2014
Midterm 2 Solutions (Version B)
1. (10 points) Consider the parametrization
u2 v 2
(u, v) = u v
u+v
(a) Show that parametrizes the surface x = yz.
Solution Consider the surface S dened by . For any (x, y, z) on S, the
Vector Calculus (MATH 20E) Fall 2014
Midterm 2 Solutions (Version A)
1. (10 points) Consider the parametrization
u2 + v 2
(u, v) = u + v
uv
(a) Show that parametrizes the surface 2x = y 2 + z 2 .
Solution Consider the surface S dened by . For any (x, y,