MTH435 - Mathematical Analysis and Topology I

Schedule

Here is a course timetable showing exactly where we are in class. I will attempt to update it at least weekly, to give you an idea of the reading you need to do to prepare for class that week.

Week beginning	Topics	Reading	Notes
09/03	Welcome to MTH435	Are you Ready? worksheet and pp1-31	First week of classes
09/10	2.2 Absolute Value and the Real Line 2.3 Completeness Property	pp32-40
09/17	2.4 Applications of Supremum property 2.5 Intervals	pp41-49
09/24	3.1 Sequences and Limits 3.2 Limit Theorems	pp54-69
10/01	3.3 Monotone Sequences 3.4 Subsequences and Bolzano-Weierstrass	pp70-84
10/08	3.5 Cauchy Criterion	pp85-91	No class 10/08 (Columbus Day)
10/15	3.6 Properly Divergent Sequences 3.7 Introduction to Series	pp91-100
10/22	9.1 Absolute Convergence Midterm 1	pp267-270	Midterm 1 on 10/24
10/29	9.2 Tests for Absolute Convergence 9.3 Tests for non-absolute convergence	pp270-280
11/05	11.4 Metric Spaces Convergence in Metric spaces	pp341-347
11/12	4.1 Limits of Functions 4.2 Limit Theorems	pp102-116
11/19	Midterm 2	(Revision)	Midterm 2 on 11/19 No class 11/21 (Thanksgiving)
11/26	4.3 Extensions of the Limit Concept	pp116-123
12/03	5.1 Continuous Functions 5.2 Combinations of Continuous Functions 5.3 Extreme Value Theorem	pp124-136
12/10	5.3 Intermediate Value Theorem	pp137-140