GWU - PSC - 2480

Gregory ArnoldPSC 2478-103/26/2012Question #1By the end of the Second World War, the old imperial order in the Middle East hadcollapsed, as the traditional powers, Britain and France, were forced to relinquish their controlover their mandates in the

Harvard - SOC - 183

From Evernote:Notes on prejudice in politicsOne of the major goals of this work is to bring interests back in to the discussion of the nature of prejudice, and in particular to the discussion of how prejudice impacts politics. So much of the literature

Harvard - SOC - 183

Soc 183 Session 4 Residen/al Segrega/on and the Urban Underclass Debate Agenda Follow up on models of intergroup rela/ons from last week: The Post-Black Condi/on. The Crea/on of the GheIo and Racial Residen/al Segrega/on. The Underclass Debates Won't

Harvard - SOC - 183

Sociology 183 Session 10 Social Policy and Ethno-Racial Divisions Dr. Seth D. HannahIs American Politics (d)emocratic?A democratic politics should equally represent different constituencies. Policy questions should be decided on their merits, not on the

Harvard - SOC - 183

Soc 183 Session 9 A Comparative Perspective: Race in Latin AmericaTake Away Points for TellesRace is constructed differently in the U.S. and Brazil. There is a greater history of interracial mixing between people of African and European and indigenous a

Harvard - SOC - 183

Session 2: On the Meaning of RaceAgenda 1. 2. 3. 4. 5. 6. 7. 8. Introductions Sectioning Discussion Leading Short Introductory Lecture What is Race? Biology and Race The Enduring Power of Race The Readings Snipp, Feldman, Morning, Koenig, Wimmer, Brubake

Harvard - SOC - 183

SOCIOLOGY 183 RACE AND ETHNIC RELATIONS Dr. Seth D. HannahRecurrent themes and Points of Emphasis1. 2.The U.S. in the contemporary era Pivot off of black-white relations but never our only concern Heterogeneity and diversity within the black populatio

Harvard - SOC - 183

Adapted from Seth Donal Hannah. 2011. Clinical Care in Environments of Hyperdiversity: Race, Culture, and Ethnicity in a Post-Pentad World. Ph.D. Dissertation, Department of Sociology, Harvard University. Not for citation or distribution without permissio

Harvard - SOC - 183

SOCIOLOGY 183 Race and Ethnic Relations Session 2: On the Meaning of Race Dr. Seth D. HannahWhat is Race?How should we define it? How should we think about it? How does it differ from or relate to other concepts like ethnicity? American Sociological Ass

Harvard - SOC - 183

Sociology 183Session 3: The U.S. Pattern of Ethno-Racial DivisionsMonday, September 19, 11AgendaSectioning Response Papers Introductory Remarks Discussion of ReadingsMonday, September 19, 11Required ReadingsAlba Fredrickson Lewis NashMonday, Septe

Harvard - SOC - 183

SOCIOLOGY 183 Race and Ethnic Relations Session 3: The U.S. Pattern of Ethno-Racial Divisions Dr. Seth D. HannahCompeting Major Sociological ModelsEthnicity, Cultural Difference, and Assimilation Race, Racial Domination, and AntiAmalgamationism (see Hol

Harvard - SOC - 183

SOCIOLOGY 183 Race and Ethnic Relations Session 4: Residential Segregation: A Key to Black-White Inequality Dr. Seth D. HannahAGENDAThe Increasing Importance of Class The Persisting Importance of Racial Segregation Inequality and Wealth Matters Today Dy

Harvard - SOC - 183

SOCIOLOGY 183 Race and Ethnic Relations Session 5: Racialized Mass Incarceration Dr. Seth D. HannahTulia, Texas Tragedy: The War on Drugs Exposed In 1999 Tom Coleman launches undercover sting operation 46 Arrests (39 Convictions) Named Texas lawman of t

Harvard - SOC - 183

SOCIOLOGY 183 Race and Ethnic Relations Session 6: Immigration Policy: The Mexican American Experience Dr. Seth D. HannahReturn to an Old Debate Assimilation vs. Racialization Triumph of Liberalism vs. Tragic FlawClassical Assimilation Theory Straight

Harvard - SOC - 183

SOCIOLOGY 183 Race and Ethnic Relations Session 7: Foreignness and Change The Asian American Experience Dr. Seth D. HannahSignificant Laws, Treaties, and Court Cases Affecting Asian AmericansSignificant Laws, Treaties, and Court Cases Affecting Asian Am

Harvard - SOC - 183

SOCIOLOGY 183 Race and Ethnic Relations Session 8: Prejudice in Socio-Political Life: SocioOn Native American RightsRace Problem as Moral Dilemma Clash of the American Creed of equality and individual rights vs Actual practice of prejudice and discrimin

Harvard - SOC - 183

SOC 183 Race and Ethnic Relations Session 9: A Comparative Perspective: Race in Latin America Dr. Seth D. HannahAgendaKey Questions Where is the Racial Divide In the U.S. today? Telles's "Race in Another America"Alternative Ways of Constructing Racial

Harvard - SOC - 183

Social Policy and EthnoEthnoRacial Inequality Ineq alitAlicia D. Simmons simmonsa@wjh.harvard.edu April 19, 2010Game Plan Group representation in American politics ReparationsWhen Affirmative Action Was WhiteInequality & Democratic Responsiveness (

Harvard - SOC - 183

SOCIOLOGY 183 Race and Ethnic Relations Session 11 The Future of the Color Line Dr. Seth D. HannahAssimilation Patterns Straightline Assimilation: "acculturation and assimilation are viewed as secular trends that culminate in the eventual absorption of

Harvard - MATH - 20

Object 1skip to main | skip to sidebarBlog ArchiveOlder Post 2006 (5) July (1) Saturday, July 01, 2006 The Dot Product and Cosine The Dot Product and Cosine June (4) Interesting The Dot Next, we'll show thatProduct product of two vectors is the produc

Harvard - MATH - 20

Answers to even-numbered problems in Mathematics for Economic AnalysisKnut Sydster Peter HammondPrefaceMathematics for Economic Analysis, Prentice Hall, 1995 has been out for a long time, and over the years we have had many request for supplying soluti

Harvard - MATH - 20

Harvard University, Math 20 Fall 2011, Instructor: Rachel Epstein1Review for Final ExamYou should review all the material for the midterms, as well as the following new material below. 1. Optimization without constraints (Chapter 17.4-9): (a) Know what

Harvard - MATH - 20

Math 20 Final Exam ReviewCarolyn Stein Exam Date: December 13, 2011Unconstrained OptimizationFinding Stationary PointsTo find the stationary points or critical points, set fx = 0, fy = 0 and find all x, y that satisfy the system of equations. A statio

Harvard - MATH - 20

Key Terms: KNOW THESE INSIDE AND OUT! Leontief Definition (p.378), Examples (Leontief worksheet, 12.1 #1,4)Linear Combination Definition (p.381), Example (12.2 #8)RREF/REF Bretscher supplement online look at examplesDot Product Definition (p.389), Exam

Harvard - MATH - 20

Name:Math 20 Fall 2010 Final Exam1(1) (10 points) For a system of linear equations in 2 variables x and y, how many solutions could it have? For each case, give an example of a system of linear equations in two variables with that many solutions.2(2)

Harvard - MATH - 20

Harvard University, Math 20 Fall 2011, Instructor: Rachel Epstein1Notes on Vector Spaces, Bases, and DimensionDefinition 0.1. A vector space is a set of vectors V Rn that satisfies the following properties: 1. If v, w are in V , then v + w is in V . 2.

Harvard - MATH - 20

Harvard University, Math 20 Fall 2011, Instructor: Rachel Epstein1Practice & Review of Single Variable CalculusFall, 2011We are about to begin our study of multi-variable calculus. Here are some single-variable calculus topics and exercises for you to

Harvard - MATH - 20

Harvard University, Math 20 Fall 2011, Instructor: Rachel Epstein1Lines and PlanesSeptember 16, 2011Find the following line and planes, using either parametric form or an equation. Let P = (1, 2, 3, 4), Q = (2, 3, 4, 4), and R = (0, 0, 2, 0). 1. Find

Harvard - MATH - 20

Harvard University, Math 20 Fall 2010, Instructor: Rachel Epstein1Review sheet 21. Vector spaces, bases, and dimension (from supplement) (a) Know the definitions of vector space, basis, and dimension. Be able to identify when something is or is not a v

Harvard - MATH - 20

Math 20 Midterm 2 ReviewCarolyn Stein Exam Date: November 9, 2011Eigenvectors and EigenvaluesWhat are Eigenvectors and Eigenvalues?"Eigen" is German for "own" or "characteristic" If A~ = ~ , we say ~ is an eigenvector of matrix A with an associated ei

Harvard - MATH - 20

Math 20 Midterm 2 Review (Solutions)Carolyn Stein Exam Date: November 9, 2011Eigenvectors and EigenvaluesWhat are Eigenvectors and Eigenvalues?"Eigen" is German for "own" or "characteristic" If A~ = ~ , we say ~ is an eigenvector of matrix A with an a

Harvard - MATH - 20

Math 20 Midterm ReviewCarolyn Stein October 4, 2011Systems of Equations and the Leontief ModelExample: Table 1: A Farming Economy Input for 1 unit Input for 1 unit Input for 1 unit of tomatoes of tomato seeds of labor 0 0.33 0.2 0.5 0 0 0.5 0.2 0Exter

Harvard - MATH - 20

Name: Linear Algebra and Multivariable Calculus Math 20 Fall 2011 Midterm 2 Please write neatly and show all your work, using proper notation. Don't hesitate to ask me questions if anything isn't clear. There are 100 points total. The point values of each

Harvard - MATH - 20

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Harvard - MATH - 20

Here is a list of topics that may be covered on the first midterm, and problems to help you prepare. The intention is not that you will do all the problems, but that you will use this to identify the areas that you need to study and try to do some problem

Harvard - MATH - 20

1. True. The constraint is a circle, which is a closed, bounded set. The EVT says the functions on closed bounded sets have a max and min. 2. False. This constraint is a parabola, which is unbounded. The EVT only holds for closed, bounded sets. 3. False.

Harvard - MATH - 1a

Math 1a 1Velocities, Secants & TangentsFall, 2009My father lives a two-and-a-half hour (150 minute) drive away. On a recent trip to visit him I recorded the trip odometer at regular intervals: Time (minutes) 0 30 60 90 120 150 Distance (km) 0 30 80 135

Harvard - MATH - 1a

Math 1a 1Limits of FunctionsFall, 2009The graph below shows the plot of a function y = f (x). Determine whether the limits shown below exist. If the given limit does exist, find this limit.. . . . . 2 . . . . . . . . . . . -2 2 4 6 8(a) lim f (x)x0

Harvard - MATH - 1a

Math 1a'The Chain Rule Another Differentiation RuleFall, 2009$The Chain Rule: Suppose F (x) = f (g(x) (or F = f g). Further suppose that g is differentiable at x and f is differentiable at g(x). Then F is differentiable at x and F (x) = f (g(x)g (x)

Harvard - MATH - 1a

Math 1a'Implicit DifferentiationFall, 2009$Often functions are defined explicitly, like y = x3 ex or y = cos(x + 1). But sometimes functions are defined implicitly, like the circle x2 +y 2 = 1. This is really two functions y = 1 - x2 and y = - 1 - x2

Harvard - MATH - 1a

Math 1a 1Derivatives & LogarithmsFall, 2009In this problem, we'll figure out the derivative of ln(x) and loga (x) (where a is a positive constant other than 1). We'll do this in the same way we found the derivatives of arcsin(x), arccos(x), and arctan(

Harvard - MATH - 1a

Math 1a'Linear Approximations Linear ApproximationFall, 2009$A linear approximation is f (a) dy y . If y = f (x), then this can be re-written as dx x or y f (a) + f (a)(x - a)y y - f (a) = x x-anear the point (x, y) = (a, f (a). This is the tangen

Harvard - MATH - 1a

Math 1a 1Related RatesFall, 2009Two cars are approaching an intersection. A red car, approaching from the north, is traveling 30 feet per second and is currently 60 feet from the intersection. A blue car, approaching from the east, is traveling 20 feet

Harvard - MATH - 1a

Math 1aMaxima and MinimaFall, 2009For each of the following functions, find the absolute maximum or minimum on the given closed interval [a, b] by following these steps: 1. Find the critical numbers of f (that is, the numbers c so that f (c) is zero or

Harvard - MATH - 1a

Math 1a 1 Show that1 2 xMVT and Two Derivative TestsFall, 2009= 5- 3 2for some x between 3 and 5.2A differentiable function f (x) satisfies f (x) 2 for all x. If f (0) = 1, what can we say about f (3)?3Show that 1 x + 1 1 + 2 x for x 0.4Suppo

Harvard - MATH - 1a

Math 1aGraphingFall, 2009Some questions to answer while graphing: (1) What is the domain of y = f (x)? (2) Where does the graph of y = f (x) cross the axes? (3) Where is the tangent to y = f (x) vertical or horizontal? (4) Where is the graph of y = f (

Harvard - MATH - 1a

Math 1a 1OptimizationFall, 2009(a) Suppose a rectangular region has fixed perimeter of 40 cm. What is the largest area the region can have?(b) Suppose now that the region was in the shape of a right triangle, not a rectangle. If the perimeter is still

Harvard - MATH - 1a

Math 1aOptimization Day TwoFall, 2009. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Harvard - MATH - 1a

Math 1a'L'H^pital's Rule o Indeterminate FormsFall, 2009$We're considering lim Typexaf (x) . We begin with several indeterminate forms: g(x)0 : lim f (x) = 0 and lim g(x) = 0 xa 0 xa Type : lim f (x) = or - and lim g(x) = or - xa xa L'H^pital's Ru

Harvard - MATH - 1a

Math 1a'L'H^pital's Rule Day Two o More Indeterminate FormsFall, 2009$Now let's consider several new indeterminate forms: Type 00 : lim f (x)g(x) with lim f (x) = 0 and lim g(x) = 0xa xa xa xaType : lim f (x)xa0g(x)with lim f (x) = and lim g(x)

Harvard - MATH - 1a

Math 1aThe Definite IntegralFall, 2009We define the definite integral of y = f (x) from x = a to x = b asb nf (x) dx = limanf (x )x ii=1where xi-1 x xi . Note that x could be xi (in which case we have the limit of Rn ) or xi-1 (in i i which case

Harvard - MATH - 1a

Math 1a'Calculating Definite Integrals The Definite IntegralIf F (x) is any anti-derivative of f (x) (that is, if F (x) = f (x), then the definite integral of f (x) from a to b isb bFall, 2009$f (x) dx = F (x)a a= F (b) - F (a).%&Compute the f

Harvard - MATH - 1a

Math 1a'It's Fundamental The Fundamental Theorem:Fall, 2009$Suppose f (x) is continuous on an interval I = [a, b].x1. If g(x) =a bf (t) dt, then g (x) = f (x).2.af (x) dx = F (b) - F (a), where F (x) is any anti-derivative of f (x) (that is, F

Harvard - MATH - 1a

Math 1a 1One Last Fundamental Theorem ProblemxFall, 2009(a) Let f (x) =0tn dt for some fixed n > 0. Find f (x).xn(b) Let g(x) =0t1/n dt for the same fixed n > 0. Find g (x).xxn(c) Let F (x) = f (x) + g(x) =0t dt +0nt1/n dt for this value

Harvard - MATH - 1a

Math 1a'SubstitutionFall, 2009$The Substitution Rule:Suppose u = g(x) is a differentiable function with domain an interval I and f (x) is continuous on I. Then f (g(x)g (x) dx = f (u) du. Thus we can make substitutions and treat du and dx like diffe

Harvard - MATH - 1a

Math 1a 31 x2 dx x3 + 1More Substitution32 xex dx2Fall, 200933dx 2 x (ln x) + 4x ln x + 4x34e x dx x1/935-1(x + 1)3 dx360sin(3x) dx3370dx (2x + 1)2/238/4cot(x) dx/61390sin3 (2x) cos(2x) dx4001 dx 1 + 4x24410x dx 1 + 4x2

Harvard - MATH - 1a

ANTIDERIVATIVESRecall that an antiderivative of f is a function whose derivative is f . For example, 1 if F (x) = x3 , then F (x) = x2 ), thus F (x) is an antiderivative of x2 . We should 3 1 notice, however, that the function G(x) = x3 + 1 also satisfie

Harvard - MATH - 1a

AREAS AND DISTANCESSuppose that we want to find the area under a curve. First of all, we need to define what the area is. If we have a rectangle, it is relatively easy, because we can simply define the area as the product of the length and the width. We

Harvard - MATH - 1a

CHAIN RULERecall the bottle calibration problem. If we increase the amount of water dripped into a bottle twice as much, then, no matter what the shape of the bottle is, the height of the water will raise twice as fast. This suggests that, if we have a c

Harvard - MATH - 1a

CONTINUITYWe have seen that the limit of a function as x approaches a can sometimes be found by calculating the value of the function at x = a. Functions with this property are called continuous at a. Mathematical definition is as follows. Continuity A f

Harvard - MATH - 1a

THE DEFINITE INTEGRALWe saw a limit of the formn nlim [f (x )x + f (x )x + + f (x )x] = lim 1 2 nnf (x )x ii=1Because this form arises frequently in a wide variety of situations, we give this type of limit a special name and notation. Definition 1.