COURSE OUTLINE – 2001/2002 Term 2
MATHEMATICS 220
Analysis
Section 101:
Instructor: Mike Bennett (office: Math 220; phone: 822-2251; email: bennett@math.ubc.ca)
Office Hours: Monday, Wednesday 3–4, Friday 2–3
Course website: http://www.math.ubc.ca/ bennett/math220
Notes:
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Prerequisite Math 101, 103, or 105, 121, or 200; 64% required in 101, 103, or 105.
The grading scheme will be 10% homework, 20% each for 2 midterm exams, and 50% final exam.
The midterms will be given on Friday Feb. 1st and Friday March 8th.
The text for the course is Analysis with an Introduction to Proof by Steven R. Lay, 3rd edition
Section
1. The Real Numbers
Natural numbers and induction
Ordered fields
The Completeness Axiom
Topology of the Reals
Compact sets and the Bolzano-Weierstrass Theorem
Countable and uncountable sets
10
11
12
13
14
8
2. Sequences
Convergence
Limit theorems
Monotone sequences and Cauchy sequences
Subsequences
16
17
18
19
3. Infinite Series
Convergence of infinite series
Convergence tests
Power series
32
33
34
4. Limits and Continuity
Limits of functions
Continuous functions
Properties of Continous Functions
20
21
22
Total Hours
Hours
12
8
6
6
32