Homework 0: Do (or redo) the final exam for Math 401/501 Fall 2006.
Team/individual work 1: Properties of Riemann Integrals from Tao's book I, Chapter 11.
Theorem 11.4.1 (a,b,c) Linear Properties due to Matthew Straughn.
Theorem 11.4.3 Closed under min due to Peterson Moyo and Joshua Abrams.
Theorem 11.4.1 (g) Closed under extension due to Jorge Piovesan.
Theorem 11.4.1 (h) Closed under restriction due to Hyunjung Ra and Brian Nease.
Exercise 11.4.2 Solution due to Sara Pollock.
Exercises 11.5.1: Bounded piecewise continuous functions are integrable by Dave Flores and Amanda Towsend.
Exercises 11.6.3, 11.6.4 and 11.6.5: Integral test by Anatoly Kobozev.
Exercise 11.10.1: Integration by parts by Teresa Evans.
Homework 1 (due 2/15/07):
Exercises from Tao's Book II:
(p.398-99) 12.1.3, 12.1.5, 12.1.6, 12.1.12, 12.1.15.
Homework 2 (due 2/22/07):
Exercises from Tao's Book II:
(p. 405) 12.2.3, 12.2.4;
(p. 408) 12.3.1;
(p. 411) 12.4.7.
Homework 3 (due 3/1/07):
Exercises from Tao's Book II:
(p. 417-19) 12.5.4, 12.5.5, 12.5.12, 12.5.13
Team/individual work 2:
Homework 4 (due 3/9/07):
Exercises from Tao's Book II:
Homework 5 (due 3/27/07):
Exercises from Tao's Book II (choose 4 out of the following):
Homework 6 (due 4/3/07):
Exercises from Tao's Book II (choose 4 out of the following):
Exercises from Tao's Book II (choose 4 out of the following):
Homework 8 (due 5/1/07):
Exercises from Tao's Book II: Return to: Department
of Mathematics and Statistics, University
of New Mexico Last updated: Feb 15, 2007
Integration exercise in Analysis qualifying Jan 2007
Topology Tao's book II, Chapter 12.
(p.412) 12.4.8 Completion of metric spaces by Josh Beach.
(p. 418) 12.5.10 Totally bounded (Josh Beach).
(p. 417-19) Choose four out of:
(p. 422) 13.1.4
(p.425-426) 13.2.4, 13.2.6, 13.2.8, 13.2.9-13.2.11
(p. 429) 13.3.5, 13.3.6
(p.432) 13.4.1, 13.4.2, 13.4.7*, 13.4.9
(p. 448-449) 14.2.1, 14.2.2
(p. 452) 14.3.3, 14.3.4, 14.3.5, 14.3.8
(p.455) 14.4.3*
(p. 458) 14.5.3
(p. 460) 14.6.1
(p. 472) 14.7.2*
(p. 540) 17.1.2, 17.1.4
(p. 552) 17.3.4
(p. 555) 17.4.3*, 17.4.4, 17.4.5
(p. 558) 17.5.1
(p. 560-61) 17.6.1-17.6.4, 17.6.8
(p. 567) 17.7.1, 17.7.3