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Course: ANTHRO 120, Fall 2011
School: MO St. Louis
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Society Gender Industrial roles more fluid US gender roles change with economy Some constants in gender roles remain Emotional Roles Gender Construction Cultural construction of the body Cultural performance the of body Berache (physically male, behaves like a female)socially constructed, based on performance Sara siwe moneindividual attribute, allows individual to cross gender boundaries.

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Society Gender Industrial roles more fluid US gender roles change with economy Some constants in gender roles remain Emotional Roles Gender Construction Cultural construction of the body Cultural performance the of body Berache (physically male, behaves like a female)socially constructed, based on performance Sara siwe moneindividual attribute, allows individual to cross gender boundaries.
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MO St. Louis - ANTHRO - 120
RaceRace is an ideology of ranked categories dividing up humansDeveloped by western Europeans after the 1400sGlobalLinked to cultural worth, intelligence, beauty, closeness to EuropeansConcept changed as Europeans came into contact with more peopleS
MO St. Louis - ANTHRO - 120
RacismRacism as power (consider power and authority)Prejudiceattitude about another person or group, usually negativeDiscriminationpolicy (requires authority) and the ability to enact a policy in away that could harm a person or people. (Not serving p
MO St. Louis - ANTHRO - 120
Colonialism and DevelopmentEuropeanAsianMiddle EasternRomanAmericasWherever there is a state, there is colonialismEuropeans took colonialism to a next step: after exhausting their local landresources, they acquired foreign statesEuropeansStates
MO St. Louis - CSCI - 140
Chapter 5 5Computing ComponentsChapter Goals Read an ad for a computer andunderstand the jargon List the components and their functionin a von Neumann machine Describe the fetch-decode-execute cycleof the von Neumann machine Describe how computer
MO St. Louis - MATH - 135
MagnetismPermanentmagnetsEarthsmagneticfieldMagneticforceMotionofchargedparticlesinmagneticfieldsCopyrightTheMcGrawHillCompanies,Inc.Permissionrequiredforreproductionordisplay.March 5, 2012University Physics, Chapter 271Permanent Magnets Example
MO St. Louis - MATH - 135
Electric Field Magnetic Field Letsaddresstheproblemofcalculatingmagneticfieldsgeneratedbymovingcharges Wecalculatedtheelectricfieldintermsoftheelectricchargeusingtheform1 dqdE =r24 0 rwheredqisachargeelementandisaunitvectorintheradialrdirectio
MO St. Louis - MATH - 135
Induction Previouslywelearnedthatacurrentcarryingloopinamagneticfieldexperiencesatorque Ifwestartwithaloopwithnocurrentinamagneticfield,andforcethelooptorotate,wefindthatacurrentisinducedintheloop Further,ifwestartwithaloopwithnocurrentandturnonamag
GA Southern - BUSA - 3131
Exam 11. Given the following SAMPLE data calculate the indicated statistics. 10, 2, 7, 18, 9, 1, 11, 15, 15, 15 A. Mean, B. Mode, C. Median, D. StandardDeviation, E. Variance, G. Range: Use Descriptive Statistics and summary statisticsF. IQR: Use the Qua
UPenn - ESE - 605
Additional Exercises for Convex OptimizationStephen BoydLieven VandenbergheApril 22, 2010This is a collection of additional exercises, meant to supplement those found in the book ConvexOptimization, by Stephen Boyd and Lieven Vandenberghe. These exer
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanLinear Maps from R2 to R3As an exercise, which I hope you will (soon) realize is entirely routine, we will show that alinear map F (X ) = Y from R2 to R3 must just be three linear high school equations intwo variab
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Feb. 2, 20121. More on Metrics, Norms, and Inner Products.We will continue to discuss orthogonal projections with applications to Fourier Seriesand the Method of Least Squares. For some details see:
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Feb. 7, 20121. In honor of the Exam on Thursday, the rst part of todays class will be a review ofthe course so far.2. More on Inner Products.We will continue to discuss orthogonal projections with a
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Feb. 14, 20121. In honor of the Exam last Thursday, the rst part of todays class will discuss thisexam, whose solutions are now posted athttp:/www.math.upenn.edu/%7Ekazdan/260S12/260S12Ex1s-solns.pdf
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Feb. 16, 20121. Curves in Space We will consider the motion of a particle in R3 , say its position isgiven by the vector function X (t).a) Concepts: The derivative, tangent vector, velocity vector, s
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Feb. 21, 2012Scalar Functions of Several VariablesReading: Marsden and Tromba, Vector Calculus, Chapter 2.1. Directional Derivative special case: partial derivatives.Example: Linear polynomial f (X
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Feb. 2, 2012Scalar Functions of Several VariablesReading: Marsden and Tromba, Vector Calculus, Chapter 2, Chapter 3.13.4 andSections 8.1-8.2 inhttp:/www.math.upenn.edu/ kazdan/260S12/notes/math21/ma
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Feb. 28, 2012Scalar Functions of Several VariablesReading: Marsden and Tromba, Vector Calculus, Chapter 2, Chapter 3.13.4 andSections 8.1-8.2 inhttp:/www.math.upenn.edu/ kazdan/260S12/notes/math21/m
UPenn - MATH - 260
Fourier Series An ExampleFormulas: Let f(x) be periodic with period 2 . We want to writeA0+2f (x) =(Ak cos kx + Bk sin kx) .1The Fourier coecients are given by the formulas11f (x) cos kx dxBk =f (x) sin kx dx.Ak = Moreover one has the an
UPenn - MATH - 260
Fourier Series of f (x) = xGiven a real periodic function f (x) , < x < , one can nd its Fourier series in two(equivalent) ways: using trigonometric functions:cos kxsin kxa0f (x) = + ak + bk 2 k=1or using the complex exponentialf (x) =eikxck .
UPenn - MATH - 260
Math 425, Spring 2011Jerry L. KazdanInner Product SummaryVN = span cfw_1, cos x, cos 2x, . . . , cos Nx, sin x, . . . , sin Nx.An orthonormal basis is:This is a summary of some items from class on Tues, Feb. 15, 2011.S ETTING : Linear spaces X , Y w
UPenn - MATH - 260
Math 425, Spring 2011Jerry L. KazdanInner Product SummaryThis is a summary of some items from class on Tues, Feb. 15, 2011.S ETTING : Linear spaces X , Y with inner products ,Example: X = R4 and Y = R7 .Vectors x, z X are orthogonal if x, zXXand
UPenn - MATH - 260
Math 425, Spring 2011Jerry L. KazdanInner Product SummaryThis is a summary of some items from class on Tues, Feb. 15,2011.S ETTING : Linear spaces X , Y with inner products , X and, Y.Example: X = R4 and Y = R7 .Vectors x, z X are orthogonal if x,
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Jan. 19, 20121. Definitions: Homogeneous equation, inhomogeneous equation.Basic Lemma: If you have n linear algebraic equations in k unknowns, and if n > k(so more equations than unknowns), then the
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Jan. 24, 20121. Example: quadratic polynomials p(x) with p(1) = 0.2. Polynomial Interpolation. Find a quadratic polynomial withp(1) = 1,p(2) = 1,p(4) = 3.p2 (x) = x,p3 (x) := x2 .Methods:Naive
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Jan. 24, 20121. Least Squares What if you have lots of data points(x1 , y1 ), (x2 , y2 ), . . . , (xk , yk )and want to nd the straight line y = a + bx that best ts the data? In this case tryinginte
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: Jan. 31, 20121. Metrics, Norms, and Inner Products.Seehttp:/www.math.upenn.edu/kazdan/260S12/notes/math21/math21-2012-2up.pdf(Math 21 Lecture Notes , Chapter 3, p. 101)http:/www.math.upenn.edu/kazd
UPenn - MATH - 260
Many Coupled OscillatorsA V IBRATING S TRINGSay we have n particles with the same mass m equally spaced on a string havingtension . Let yk denote the vertical displacement if the k th mass. Assume the ends of thestring are xed; this is the same as hav
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanClass Outline: March 1, 2012Functions of Several VariablesReading: Marsden and Tromba, Vector Calculus, Chapter 2, Chapter 3.13.4 andSections 8.1-8.2 in the noteshttp:/www.math.upenn.edu/ kazdan/260S12/notes/math2
UPenn - MATH - 260
iPrefaceIntermediate CalculusandLinear AlgebraJerry L. KazdanHarvard UniversityLecture Notes, 19641965These notes will contain most of the material covered in class, and be distributed beforeeach lecture (hopefully). Since the course is an experi
UPenn - MATH - 260
Intermediate CalculusandLinear AlgebraJerry L. KazdanHarvard UniversityLecture Notes, 19641965iPrefaceThese notes will contain most of the material covered in class, and be distributed beforeeach lecture (hopefully). Since the course is an experi
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanMatrices as MapsWe now discuss viewing systems of equations as maps. Think of this an an introduction tocomputer graphics. Well use these ideas throughout Math 260.The standard technique goes back to Descartes intr
UPenn - MATH - 260
Linear ODEsSecond order linear equationsMany traditional problems involving ordinary equations arise as second order linear equationsau + bu + cu = f ,more briey as Lu = f .The problem is, given f , nd u ; often we will want to nd u that satises some
UPenn - MATH - 260
Math 425, Spring 2011Jerry L. KazdanClassical Examples of PDEsLaplace equation:32uu := 2 = 0j=1 x j(some write u = u = 2u)u = f (x)Poisson equation:Helmholtz (or eigenvalue) equation:u=tTransport equation:Heat (or diffusion) equation:Schr
UPenn - MATH - 260
Math 210Jerry L. KazdanQuadratic PolynomialsPolynomials in One Variable.After studying linear functions y = ax + b , the next step is to study quadratic polynomials, y = ax2 + bx + c , whose graphs are parabolas. Initially one studies the simplerspec
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanRepresenting Symmetries by MatricesIf order to understand and work with the symmetries of an object (the symmetries of asquare is a simple example), one would like a way to compute, not just wave your hands.For an
UPenn - MATH - 260
A Tridiagonal MatrixWe investigate the simple n n real tridiagonal matrix: 0 1 0 0 . 0 0 0 0 . 0 0 1 0 1 0 . . . 0 0 0 . . . 0 0 0 1 0 1 . . . 0 0 0 . . . 0 0 . . . . = I + T , . . = I + . . . . . . . . . . M =. . . . . . . . 0 0 0 . . . 0 1 0 0 0 0 . .
UPenn - MATH - 260
Math 210Jerry L. KazdanVectors and an Application to Least SquaresThis brief review of vectors assumes you have seen the basic properties of vectorspreviously.We can write a point in Rn as X = (x1 , . . . , xn ) . This point is often called a vector.
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. Kazdanux + 3uy = 0This example is similar to Problem Set 7 # 3a).Example: Find a function u(x, y ) that satises ux + 3uy = 0 with u(0, y ) = 1 + e2y .Solution:The dierential equation can be written u V = 0 where V = (1,
UPenn - MATH - 260
Math 260Feb. 9, 2012Exam 1Jerry L. Kazdan12:00 1:20Directions This exam has 10 questions (10 points each). Closed book, no calculators orcomputers but you may use one 3 5 card with notes on both sides. Neatness counts.1. Which of the following sets
UPenn - MATH - 260
Math 260Feb. 9, 2012Exam 1Jerry L. Kazdan12:00 1:20Directions This exam has 10 questions (10 points each). Closed book, no calculators orcomputers but you may use one 3 5 card with notes on both sides. Neatness counts.1. Which of the following sets
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanHomework Set 0 [Due: Never]Comples Power SeriesIn our treatment of both dierential equations and Fourier series, it will be essential to usecomples numbers and complex power series. They enormously simplify the sto
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanProblem Set 1Due: In class Thursday, Jan. 19. Late papers will be accepted until 1:00 PM Friday.These problems are intended to be straightforward with not much computation.1. At noon the minute and hour hands of a
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanProblem Set 2Due: In class Thursday, Jan. 26. Late papers will be accepted until 1:00 PM Friday.1. Which of the following sets of vectors are bases for R2 ?a). cfw_(0, 1), (1, 1)d). cfw_(1, 1), (1, 1)b). cfw_(1,
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanProblem Set 3Due: In class Thursday, Feb. 2. Late papers will be accepted until 1:00 PM Friday.1. Say you have k linear algebraic equations in n variables; in matrix form we writeAX = Y . Give a proof or counterexa
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanProblem Set 4Due: Never[Exam 1 is on Thursday, Feb.9, 12:00-1:20]Unless otherwise stated use the standard Euclidean norm.1. In R2 , dene the new norm of a vector V = (x, y ) by V := 2|x| + |y | . Show thissatises
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanProblem Set 5Due: In class Thursday, Feb. 16. Late papers will be accepted until 1:00 PM Friday.Unless otherwise stated use the standard Euclidean norm.1 for x < 0,. Find its Fourier series (either using trig1 fo
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanProblem Set 6Due: In class Thursday, Feb. 23. Late papers will be accepted until 1:00 PM Friday.Unless otherwise stated use the standard Euclidean norm.1. Let u(x, t) be the temperature at time t at a point x on a
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanProblem Set 7Due: In class Thursday, March 1. Late papers will be accepted until 1:00 PM Friday.Unless otherwise stated use the standard Euclidean norm.1. Say you have a matrix A(t) = (aij (t) whose elements aij (t
UPenn - MATH - 260
Math 260, Spring 2012Jerry L. KazdanProblem Set 8Due: NeverUnless otherwise stated use the standard Euclidean norm.1. Find a 3 3 symmetric matrix A with the property thatX, AX = x2 + 4x1 x2 x1 x3 + 2x2 x3 + 5x213for all X = (x1 , x2 , x3 ) R3 .2
UPenn - MATH - 240
Problem: Score:12345678 Total:9101112_ Please do not write above this line UNIVERSITY OF PENNSYLVANIA DEPARTMENT OF MATHEMATICS MATH 240 FINAL EXAM Monday December 21, 2009 Your name (printed) _ Signature_ Professor (circle one): Patrick Clar
UPenn - MATH - 240
1Math 240Circle one:FINAL EXAMDecember 17, 2010Professor ShatzProfessor WylieProfessor ZillerName:Penn Id#:Signature:TA:Recitation Day and Time:Please show your work clearly. A correct answer with no work is worth 0 points. Circle your answer
UPenn - MATH - 240
NAME: PROFESSOR: (A) Donagi ; (B) Ghrist ; (C) Krieger240 SPRING 2009: CalculusFINAL EXAM INSTRUCTIONS:1. WRITE YOUR NAME at the top and indicate your professors name. 2. As you solve problems on the exam, FILL IN COMPLETELY the letter(s) of your solut
UPenn - MATH - 240
1Math 240Circle one:FINAL EXAMMay 4, 2010Professor ZillerProfessor ZywinaName:Penn Id#:Signature:TA:Recitation Day and Time:You need to show your work, even for multiple choice problems. A correct answer with no workwill get 0 points. The onl
UPenn - MATH - 240
Math 240 Final Exam, spring 2011Name (printed):TA:Recitation Time:This examination consists of ten (10 problems). Please turn o all electronicdevices. You may use both sides of a 8.5 11 sheet of paper for notes whileyou take this exam. No calculator
UPenn - MATH - 240
Makeup Final Exam, Math 240: Calculus IIISeptember, 2011No books, papers or may be used, other than a hand-writtennote sheet at most 8.5 11 in size. All electronic devicesmust be switched o during the exam.This examination consists of nine (9) long a
UPenn - MATH - 425
Math 425March 3, 2011Exam 1Jerry L. Kazdan12:00 1:20Directions This exam has three parts, Part A, short answer, has 1 problem (12 points). Part Bhas 5 shorter problems (7 points each, so 35 points). Part C has 3 traditional problems (15 pointseach
UPenn - MATH - 425
Math 425March 3, 2011Exam 1Jerry L. Kazdan12:00 1:20Directions This exam has three parts, Part A, short answer, has 1 problem (12 points). Part Bhas 5 shorter problems (7 points each, so 35 points). Part C has 3 traditional problems (15 pointseach
UPenn - MATH - 425
SignaturePrinted NameMy signature above certies that I have complied with the University of PennsylvaniasCode of Academic Integrity in completing this examination.Exam 2Math 425April 26, 2011Jerry L. Kazdan12:00 1:20Directions This exam has three
UPenn - MATH - 425
SignaturePrinted NameMy signature above certies that I have complied with the University of PennsylvaniasCode of Academic Integrity in completing this examination.Exam 2Math 425April 26, 2011Jerry L. Kazdan12:00 1:20Directions This exam has three
UPenn - MATH - 425
AMSIJan. 14 Feb. 8, 2008Partial Differential EquationsJerry L. KazdanCopyright c 2008 by Jerry L. Kazdan[Last revised: March 28, 2011]ivCONTENTS7. Dirichlets principle and existence of a solutionChapter 6. The RestContentsChapter 1. Introductio
UPenn - MATH - 425
Math 425Notes and exercises on Black-ScholesDr. DeTurckApril 2010On Thursday we talked in class about how to derive the Black-Scholes dierentialequation, which is used in mathematical nance to assign a value to a nancial derivative. The latter is usu