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Concordia Chicago  MATH 163
 Concordia Chicago
 Townsend
 Gayatri Spivak: Ethics, Subalternity and the Critique of Postcolonial Reason (Key Contemporary Thinkers), The PostColonial Critic: Interviews, Strategies, Dialogues, Gayatri Chakravorty Spivak: In Other Words, Outside in the Teaching Machine (Routledge Classics), Theory of Algebraic Integers (Cambridge Mathematical Library)

Hw9
School: Concordia Chicago

Reals
School: Concordia Chicago
ANALYSIS In the first part of this course we studied the topology of the continuum, without reference to any algebra. We now rectify this omission. 1. The Real Numbers We define the real numbers axiomatically. In contrast to the situation with the c

Final
School: Concordia Chicago
(1) Let and be smooth functions on an interval (a, b) on so that is equal to zero on the boundary of (a, b) and (x) = 0 on [a, b]. Show that for all N > 0 there exists a constant CN such that b  a (x) sin (x) dx CN N . (2) Given a vector s

Sh17
School: Concordia Chicago
Sheet 17: Trigonometric Functions Liz Beazley April 17, 2007 Just like we dened log and exp using integrals on the last sheet, it is possible to build the trig functions in this way. Ponder each of the following denitions carefully, always searching

Homework2
School: Concordia Chicago
MATH 16300 SECTION 50, HOMEWORK 1 DUE DATE TUESDAY APRIL 17 (1) Show that the function f : R R+ given by f (x) = x2 , is not uniformly continuous on R. (2) Let a > 0 and f (x) = x if x [a, a] Q, 0 if x [a, a] \ Q. Find supP L(P, f ) and inf P U

Homework5
School: Concordia Chicago
MATH 16300 SECTION 50, HOMEWORK 10 DUE DATE THURSDAY MAY 10 (1) Assume that f is i C ([a, b]). Show that if all derivatives f (n) are uniformly bounded on [a, b], then f n (a) f (x) = (x a)n . n! n=0 (2) Assume that f C (I), for some open inter