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Course: MAY 2008, Fall 2009School: Kentucky
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Series The Spotlight Spotlight Series features an employee from a different campus library each month. Hopefully, series this will enable you to match a name to a face, along with some interesting facts too. 4
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The Spotlight Spotlight Series features an employee from a different campus library each month. Hopefully, series this will enable you to match a name to a face, ...
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Kentucky - MANUAL - 2008
ANNUAL MEETING RESPONSIBILITIES Assigned to Areas by KEHA 1st Vice-President/Program at Fall Board MeetingA REGISTRATION/ANNUAL MEETING INFORMATION See that all registration materials, name tags, tickets for meals and seminars, and door prize ticket
Kentucky - DIV - 16
16930S32- PRESSURE SENSOR1. 2. 3. TYPE Electronic APPLICATIONS FMS, DDC, HVAC, BTU, Boiler Control ELECTRICAL 4-20 mA output (2 WIRE) Wire in 3/4" conduit and terminate on terminal labeled terminal block. Voltage input 10-35 volts DC Loop resistance
Kentucky - DIV - 8
08720S01 - AUTOMATIC DOOR OPERATORSTECHNICAL SPECIFICATIONS (SWINGING DOOR) 1. SCOPE Furnish automatic door operators: in theBuilding.2. 1.GENERAL Site Visit: Vendor shall visit the site to determine site conditions and guarantee correct opera
Ill. Chicago - MATH - 494
Factorization in Polynomial RingsThese notes are a summary of some of the important points on divisibility in polynomial rings from 17 and 18 of Gallians Contemporary Abstract Algebra. Most of the important results about the structure of F [X] foll
Ill. Chicago - MATH - 414
Metric Spaces Math 413 Honors Project1Metric SpacesDenition 1.1 Let X be a set. A metric on X is a function d : X X R such that for all x, y, z X: i) d(x, y) = d(y, x); ii) d(x, y) = 0 if and only if x = y; iii) d(x, y) d(x, z) + d(z, y). I
Ill. Chicago - MATH - 435
Rabin-Miller Primality TestLemma 0.1 Suppose p is an odd prime. Let p 1 = 2k m where m is odd. Let 1 a < p. Either i) am 1 (mod p) or ii) one of k1 aq , a2m , a4m , a8m , . . . , a2 m is conruent to 1 mod p. Proof We know that a2k1 k1m2=
Ill. Chicago - MATH - 330
Groups of order 6 Suppose G is a group of order 6. We will prove that G Z6 or G D3 . = = case 1: G has an element a of order 6. Then G = a is cyclic and G Z6 . = case 2: G has no elements of order 6. We have argued in class that: G has an element
Ill. Chicago - MATH - 413
Metric Spaces Math 413 Honors Project1Metric SpacesDenition 1.1 Let X be a set. A metric on X is a function d : X X R such that for all x, y, z X: i) d(x, y) = d(y, x); ii) d(x, y) = 0 if and only if x = y; iii) d(x, y) d(x, z) + d(z, y). I
Ill. Chicago - MATH - 330
Math 330: Abstract Algebra Final Exam Study Guide The Final exam will be on Friday December 13 1:00-3:00. The exam will be cumulative, though it will focus a bit more on material from the second half of the course. A detailed list of material from th
Ill. Chicago - MTHT - 430
MTHT 430 Analysis for Teachers Final Exam Study Guide 1) Know all important denitions and how to apply them: absolute value, binomial coecient n , functions, composition of funci tions, one-to-one and onto functions, inverse functions, increasing and
Ill. Chicago - MATH - 215
Math 215: Introduction to Advanced Mathematics Problem Set 12 Due: Friday December 8 1) Suppose I is a countable set and that for each i I we have a countable set Ai . Let fi : N Ai be a surjection. Let A=iIAi = {x : x Ai for some i I}.Let F
Ill. Chicago - MATH - 504
Math 504 Set Theory I Problem Set 9 Due Wednesday May 6 Do three of the following problems. 1) Suppose M is a countable transitive model of ZFC, such that M |= and are innite cardinals Let P = Fn(, ) and let G P be an M-generic lter. a) Prove that
Ill. Chicago - MATH - 414
Most Continuous Functions are Nowhere DierentiableSpring 2004The Space of Continuous FunctionsLet K = [0, 1] and let C(K) be the set of all continuous functions f : K R. Denition 1 For f C(K) we dene |f |, the norm of f , by |f | = sup{|f (x)|
Ill. Chicago - MATH - 504
Math 504 Set Theory I Problem Set 4 Due Monday February 25 1) (ZF- ) Suppose M is a class and for all x if x M, then x M. Prove that WF M. [Hint: Prove V M for all .] 2) (ZFC- ) Let R be a binary relation on X. Prove that R is well founded if and
Ill. Chicago - MATH - 512
Descriptive Set TheoryDavid Marker Fall 2002ContentsI Classical Descriptive Set Theory 22 14 27 34 43 54 621 Polish Spaces 2 Borel Sets 3 Eective Descriptive Set Theory: The Arithmetic Hierarchy 4 Analytic Sets 5 Coanalytic Sets 6 Determinacy
Ill. Chicago - MATH - 435
Math 435 Number Theory I Problem Set 3 Due: Friday September 16: 1) Prove that there are innitely many prime numbers of the form 6n + 5. 2) a) Suppose x, y are integers. Prove that x2 y 2 is either odd or divisible by 4. [Hint: factor]. b) Suppose N
Ill. Chicago - OPTION - 1
Ill. Chicago - OPTION - 1
Ill. Chicago - MATH - 512
Lecture 6.5 Saturation and homogeneityJohn T. Baldwin Department of Mathematics, Statistics and Computer Science University of Illinois at Chicago October 27, 2003Assumption 1 K is an abstract elementary class. The goal is to derive properties on e
Ill. Chicago - MATH - 215
MATH 215Final Examination SolutionRadford08/08/08Name (print) (1) With the exception of part (a) of Problem 1, write your answers in the exam booklet provided. (2) Return this exam copy with your test booklet. (3) You are expected to abide by
Ill. Chicago - MTHT - 430
Continuous One-to-One FunctionsFall 2004Theorem 1 If f : R R is continuous and one-to-one, then f is either increasing or decreasing. Lemma 2 If f : [a, b] R is continuous and one-to-one, f (a) < f (b) and a < c < b, then f (a) < f (c) < f (b).
Ill. Chicago - MATH - 330
Factorization in Polynomial RingsThese notes are a summary of some of the important points on divisibility in polynomial rings from 17 and 18.PIDsDenition 1 A principal ideal domain (PID) is an integral domain D in which every ideal has the form
Ill. Chicago - HON - 201
Honors 201: Mathematics and Texas Holdem Problem Set 2 Due Tuesday April 8 1) For each natural number k consider the game G(k) where we start with a pile of k matches. Alice and Bob take turns removing matches from the pile with Alice going rst. At e
Ill. Chicago - MCS - 441
MCS 441 Theory of Computation Problem Set 10 For any of the following problems you need only give an implementation level description of the machine. 1) Design a Turing machine that takes a number N in base 2 and calculates N + 1 in base 2. Assume th
Ill. Chicago - MATH - 215
Axioms for Ordered Fields Basic Properties of Equality x=x if x = y, then y = x if x = y and y = z, then x = z for any function f (x1 , . . . , xn ), if x1 = y1 , . . . , xn = yn then f (x1 , . . . , xn ) = f (y1 , . . . , yn ). Similarly, if a pr
Ill. Chicago - MATH - 502
Math 502 Metamathematics I Problem Set 1 Due: Friday September 12 1) Suppose M is an L-structure, : V M is an assignment, is an L-formula and M |= v1 v2 . Prove that M |= v2 v1 . 2)1 a) Suppose that 1 , . . . , n are L-formulas and is a Boolean c
Ill. Chicago - MATH - 494
Math 494: Topics in Algebra Problem Set 3 Due Wednesday March 26: Do 5 of the following problems. 1) Let L P2 (k) be a projective line. Show that there are homogeneous polynomials f, g, h k[X, Y ] of degree one such that [(x, y)] [(f (x, y), g(x,
Ill. Chicago - MATH - 502
This is page 315 Printer: Opaque thisAppendix ASet TheoryIn this Appendix, we will survey some of the elementary results from set theory that we use in the text. We give very few proofs and refer the reader to set theory texts such as [26], [47]
Ill. Chicago - AD - 305
For my assignment I want to use the information I saw to display the water withdrawal per year in each country, which will be able to be seen in comparison to the population they possess. I want to use a visualization like a graph or a map layout to
Ill. Chicago - AD - 305
John MaedaDavid Mei AD305Topics John Maeda Philosophy Simplicity Work RelevanceJohn MaedaBorn 1966 in Seattle, Washington Bachelors and Masters at MIT in software engineering Fascinated with artists Paul Rand and Muriel Cooper and got int
Ill. Chicago - AD - 305
Piotr Rodecki Stepheny DiBenedetto Jose Diego ArozamenaAspen Design Challenge: Group Project Proposal Our group hopes to inform local, national and possibly international audiences about where, how, and why in the top five best/cleanest water citie
Ill. Chicago - AD - 305
Team: Awareness40 billion1.1 billion1.8 millionFIndiaNILone ofIndia. Sgathereher weUnited StatesEncapsulationOur objectives and inspirationMany people are utterly oblivious to the challenges that impoverished communities fac
Ill. Chicago - AD - 305
S. DiBenedetto 10-25-2008 AD305 Fall 2008 Exercise 3: Data Visualization ProposalAspect: I want to make a visual representation of Total Renewable Freshwater Supply by Country. I propose to do this by making an image of a faucet with water droplets
Ill. Chicago - AD - 305
duranjesus Exercise 3 Goal The goal of this visualization is to examine the usage of a country's water supply and to project it's usage based on simple modeling of population data. This will eventually lead towards understanding how water would affec
Ill. Chicago - AD - 305
S. DiBenedetto 10-15-2008 AD305 Fall 2008 Exercise 3: Data Visualization Proposal Aspect: I want to make a visual representation of Total Renewable Freshwater Supply by Country. I propose to do this by making an image of a faucet with water droplets
Kentucky - PHY - 232
30 Jan 08Example: Solid infinite cylinderA solid insulating cylinder has a radius R and is infinitely long. The insulator has a uniform charge density . Determine the electric field everywhere.Gausss law and conductorsStrategy: The system has
Kentucky - PHY - 232
16 Apr 08Two broad classesOptics describes the effects of light interacting with matter. We will work with two regimes. Geometric: Assume that light travels in straight-line paths (rays). Does not probe the wave nature of light. Physical optics: W
Kentucky - PHY - 232
28 Jan 08Gausss law (ii)Gausss lawWe showed that the flux through a sphere centered on a point charge is: "sphere = 4 #ke Q More generally, we can show that the flux through any closed ! surface containing Q is: "closed_surf = 4 #ke Q More gener
Kentucky - PHY - 232
14 Jan 08Coulombs law (continued) and the electric fieldExample (1-d): Charge A, qA=+Q, and charge B, qB=-2Q, are separated by a distance d. Where can I place a third charge, q, so that there is no force acting on it? Does the sign of q matter?S
Kentucky - PHY - 232
21 Mar 08Biot-Savart and Amperes lawExample: Straight wire.A thin straight wire of length L carries a current I. Determine the magnetic field due to this wire a distance y along its bisector. Determine the magnetic field along the axis of the wi
Kentucky - PHY - 232
30 Jan 08Gausss law and conductorsExample: Solid infinite cylinderA solid insulating cylinder has a radius R and is infinitely long. The insulator has a uniform charge density . Determine the electric field everywhere. Strategy: The system has c
Kentucky - PHY - 232
Faucets, drains, and streamsFaucets are the source of flowing water. Drains are the sink for flowing water.Gausss lawWhat is inside the box?1: # faucets - # drains = 2 OR 2: # drains - # faucets = 1 OR 3: # faucets = # drains Nothing OR etc. et
Kentucky - PHY - 232
Gausss lawFaucets, drains, and streamsFaucets are the source of flowing water. Drains are the sink for flowing water.What is inside the box?1: # faucets - # drains = 2 OR 2: # drains - # faucets = 1 OR 3: # faucets = # drains Nothing OR etc. et
Kentucky - PHY - 232
24 Mar 08Gausss law for magnetismRecall from electrostatics, GL told us that the total flux through a closed surface was proportional to the closed charge. We used GL to easily determine the E field of highly symmetric charge distributions. What a
Kentucky - PHY - 232
24 Mar 08Ampres lawGausss law for magnetismRecall from electrostatics, GL told us that the total flux through a closed surface was proportional to the closed charge. We used GL to easily determine the E field of highly symmetric charge distribut
Kentucky - PHY - 232
22 Feb 08Moving chargesElectrical current is the rate at which charge flows through a surface. Though electrons are the actual moving charges, convention dictates that we speak in terms of the flow of positive charge (opposite the direction of ele
Kentucky - PHY - 232
Coulomb's law to Gauss' LawUsefulness of Coulomb's law for assemblies of chargesTwo small conducting spheres with identical masses m and charges q are hung from threads of length L. Assuming the angle is small, then calculate the separation of th
Kentucky - PHY - 232
Physics 232 General University PhysicsSpring 2009Lecture Location: Lecturer: Office: Office Hours: Telephone: E-mail: Room 153, Chem-Phys Bldg. Prof. Terrence Draper Room 389, Chem-Phys Bldg. MWF 11:05 AM 11:55 AM 257-3413 draper@pa.uky.eduIf yo
Kentucky - PHY - 231
Physics 231: General University PhysicsTest III (Practice)AnswersA.1. TTF 2. FFTTB.1. 1 rad 2. 8 rad/s2 3. 8 m/s 4. 24 kg m2 /s 5. 48 N mC.1. f 2. b 3. b 4. dD.1. 2.5 kg m2 2. 10 kg m2 /s 3. 20 J 4. 1 rad/s 5. 5 J
Kentucky - PHY - 231
Physics 231: General University PhysicsFinal Exam (Practice)AnswersA. 1. FFTF 2. TFF 3. TTF 4. TFT B. 1. 2.0 m/s2 2. 4.0 rad/s2 3. 10 N m (clockwise) 4. 2.5 kg m2 C. 1. d 2. c 3. g 4. a 5. c 6. e D. 1. 256 J 2. 6.5 m 3. 9.4 m/s E. 1. increasing
Kentucky - PHY - 232
Getting Started with Brief Student GuideWebAssign allows you to submit homework, quizzes, and tests completely online at any time of day or night. WebAssign is a required portion of your course and your proper usage of the program may count toward y
Kentucky - PHY - 231
Physics 231: General University PhysicsTest II (Practice)AnswersA.1. TFFT 2. TFFF 3. FFB.1. 6.26 m/s 2. 5.22 m/s 3. 0.33 mC.1. 6000 kg m/s 2. 2 m/s 3. 2 m/s 4. 3 m/s 5. 6000 N sD.1. b 2. d 3. a 4. b 5. b
Kentucky - PHY - 231
Physics 231: General University PhysicsTest III (Practice) Name (print): Signature: Your Seat Number (on back of chair):1. Immediately enter the requested information on this cover page. Do not turn this cover page over until you are told to do so
Kentucky - PHY - 231
Physics 231: General University PhysicsTest I (Practice)AnswersA. 1. FFF 2. FFTT 3. TFT B. 1. 2.00 s 2. 19.6 m/s 3. 10.0 m/s 4. 20.0 m 5. 22.0 m/s C. 1. c 2. b 3. c 4. a 5. b 6. e D. 1. Free-body diagrams. 2. 51.0 N 3. 5.1 m/s2 4. 25.5 N 5. 150 N
Ill. Chicago - M - 2
Psychopathology Self-Study Questions Lecture # 1: Mr. A is a 47 year-old, married, male, referred to you by his primary care clinic. His physician is unaware of any previous psychiatric history but informs you that Mr. A recently lost his job and has
Ill. Chicago - M - 2
Obsessive-Compulsive Disorder & Tic Disorders for M2sSucheta Connolly, M.D. (A.J. Allen M.D., Ph.D.) IJR, Psychiatry Dept. 312-413-4814 sconnolly@psych.uic.eduBasic ObjectivesList diagnostic criteria for OCD in children and adults List diagnosti
Ill. Chicago - M - 2
Psychosexual Disorders: Sexual Dysfunction and ParaphiliasM2 Psychpathology 2005 Joan Anzia, M.D.Sexual DysfunctionsAs defined by the Masters & Johnson human sexual response cycle, which is based on Western cultural beliefs/attitudes. It does pro
Ill. Chicago - M - 2
Anxiety DisordersSean M. Blitzstein, M.D.Learning ObjectivesBe able to recognize pathological anxiety and understand how it is different from normal anxiety Be able to describe the physiologic mechanisms which occur during anxiety and/or fear sta
Ill. Chicago - MCS - 441
MCS 441 Theory of Computation Some Sample Final Questions from the Second Half of the Course 1) Let G be the grammar S SAS | 0S1 A 1A | Find a context free grammar G1 in Chomsky Normal Form with L(G) = L(G1 ). 2) Give an informal but complete descr
Ill. Chicago - MATH - 586
MATHEMATICAL SCIENCE PRELIMINARY EXAMINATIONMonday, May 7, 20081:00-4:00pmThe Mathematical Science Preliminary examination covers the areas of Applied Optimal Control, Computational Finance, Mathematics of Fluid Dynamics, and Wave Propagation.