Math 301 - Introduction to Mathematical Analysis I

Spring 2010 - Andrei Draganescu

Detailed Schedule


This schedule is tentative, and will continously suffer corrections.
The chapter numbers refer to the text, Bartle & Sherbert, Introduction to Real Analysis, third edition, John Wiley & Sons, 2000.
Class Date Topic Section(s)
1 W 1/27 Introduction. Propositional logic. Appendix A
2 M 2/1 Variables and quantifiers. Proofs. Appendix A, 1.1
3 W 2/3 Sets and functions. 1.1
M 2/8 UMBC closed
W 2/10 UMBC closed
4 M 2/15 Sets and functions (contd.). Mathematical induction. 1.1, 1.2
5 W 2/17 Finite and infinite sets. 1.3
6 M 2/22 The algebraic and order properties of the real line. 2.1
7 W 2/24 Absolute values and the real line. The completeness property of R. Quiz 1. 2.2, 2.3
8 M 3/1 The completeness property of R. Applications of the supremum property. 2.3, 2.4
9 W 3/3 Applications of the supremum property (contd.). Intervals. 2.4, 2.5
10 M 3/8 Test 1.
11 W 3/10 Sequences and their limits. Limit theorems. 3.1, 3.2
M 3/15 Spring Break
W 3/17 Spring Break
12 M 3/22 Limit theorems (contd.). Monotone sequences. 3.2, 3.3
13 W 3/24 Subsequences and the Bolzano-Weierstass Theorem. The Cauchy Criterion. 3.4, 3.5
14 M 3/29
15 W 3/31
16 M 4/5
17 W 4/7
18 M 4/12
19 W 4/14
20 M 4/19
21 W 4/21
22 M 4/26
23 W 4/28
24 M 5/3
25 W 5/5
26 M 5/10
27 W 5/12

page last modified 2/25/2010