Math 140 Tentative Schedule
(Subject to change)
Winter 2010-Spring 2010


Textbook abbreviations
WR = Walter Rudin's Principles of Mathematical Analysis


Winter 2010


Date Topics Sections Event
Week 1
01-04 Real Numbers WR 1.4 Read Section 1.1-1.3 and Suppl0
01-06 Complex numbers WR 1.5-1.6 Read Section 1.5
01-08 Euclidean spaces WR 1.7 and Suppl1  
Week 2
01-11 Review and catch-up   Read Appendix
01-13 Counting I WR 2.1 HW 1 due
01-15 Counting II WR 2.1  
Week 3
01-18 Happy Holiday Happy Holiday Happy Holiday
01-20 Metric and Topology WR 2.2 HW 2 due; Read Propositions/ Theorems 2.17, 2.19. 2.30.
01-22 Compactness I WR 2.3  
Week 4
01-25 Compactness II and the Rest WR 2.3-2.5  
01-27 Review and Catch-up   HW 3 due
01-29 Midterm I Midterm I
Week 5
02-01 Convergence WR 3.1-3.2 Read Theorem 3.3
02-03 Completeness WR 3.3-3.4 HW 4 due, Read Sections 3.4-3.5
02-05 Series I WR 3.6-3.7 Read Propositions/Theorems 3.24, 3.25
Week 6
02-08 Series II WR 3.7-3.8 Read Suppl2 and understand as much as you can
02-10 Series III WR 3.10 Read Section 3.9, especially Theorem 3.33, 3.34
02-12 Series IV WR 3.11-3.12 Read Theorem 3.47
Week 7
02-15 Happy Holiday Happy Holiday Happy Holiday
02-17 Series V WR 3.13-3.14 HW 5 due
02-19 Review and catch-up Suppl3, if time allowed Read Suppl3
Week 8
02-22 Midterm II Midterm II
02-24 Continuous functions WR 4.2 HW 6 due; Read Section 4.1
02-26 Compactness and functions WR 4.3 Read Theorem 4.4, 4.9, 4.10
Week 9
03-01 Connectedness and continuous functions WR 4.4 Read Section 4.5
03-03 Monotonicity WR 4.6 HW 7 due; Read Section 4.7
03-05 Review and Catch-up Review and Catch-up
Week 10
03-08 Derivatives WR 5.1 Read Proposition/Theorem 5.3, 5.10
03-10 Mean value WR 5.2 HW 8 due
03-12 Computing WR 5.3-5.5 Read Sections 5.6-5.7 during the break


Spring 2010


Date Topics Sections Event
Week 1
03-29 Derivatives WR 5.1 Read Theorem 5.3; Suppl1-nowhere differentiable
03-31 Mean Value Theorem WR 5.2, 5.3 Read 5.11  
04-02 Taylor's theorem WR 5.4-5.7 Homework0 due
Week 2
04-05 Vector-valued functions WR 5.8  
04-07 Review/Catch up   Read Suppl2-ODE
04-09 Integrals-Definition WR 6.1 Homework 1 due
Week 3
04-12 Integral-Existence WR 6.1 Read Theorem 6.7
04-14 Properties WR 6.2 Read Theorem 6.15
04-16 Integrals as a function of the upper limit WR 6.3 Homework 2 due
Week 4
04-19 Fundamental Theorem of Calculus WR 6.3 Read Theorem 6.19
04-21 Vector-valued functions WR 6.4  
04-23 Review/Catch-up   Homework 3 due; Read Suppl3-Kepler
Week 5
04-26 Sequence and series of functions-relation with derivatives and integrals WR 7.1  
04-28 Midterm I Midterm I  
04-30 Uniform convergence WR 7.2 Homework 4 due; Read Theorem 7.9 and 7.10
Week 6
05-03 Uniform convergence and continuity WR 7.3  
05-05 Uniform convergence and Integration WR 7.4  
05-07 Uniform convergence and Differentiation WR 7.5 Homework 5 due
Week 7
05-10 Equicontinuity WR 7.6  
05-12 Equicontinuity and compactness WR 7.6-7.7  
05-14 Stone-Weierstrass I WR 7.7 Homework 6 due
Week 8
05-17 Review/Catch-up Review/Catch-up  
05-19 Midterm II Midterm II  
05-21 Stone-Weierstrass II WR 7.7 Homework 7 due;
Week 9
05-24 Analytic functions I WR 8.1 Read Suppl4-Trigonometric functions
05-26 Analytic functions II WR 8.2  
05-28 Exp, Log, Tri functions I WR 8.3-8.4 Homework 8 due;
Week 10
05-31 Happy Holiday Happy Holiday Happy Holiday
06-02 Fourer Series I Homework 9
06-04 Review/Catch up Read Suppl5-Sterling formula




Last modified: Wed Dec 8:06:11 PST 2009