University of Rhode Island MTH435: Mathematical Analysis and Topology I
Fall 2017

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 beginningTopicsReadingNotes
09/04Introduction
Inequalities
Properties of the Real Numbers
Chapter 1First day of class on 09/06
09/112.2 Absolute Value and the real line
2.3 Completeness
2.4 Applications of Completeness
Chapter 2 up to p49
09/182.5 Intervals
3.1 Sequences and Limits
3.2 Limit Theorems
3.3 Monotone Sequences
pp40-77, excluding pp49-53We may revisit binary and decimal expansions at a later date (time permitting).
09/253.2 Limit Theorems
3.3 Monotone Sequences
3.4 Subsequences
pp63-84
10/023.4 Subsequences
3.5 Cauchy Criterion
3.6 Properly Divergent Sequences
pp78-93
10/093.5 Cauchy Sequences
3.6 Properly Divergent Sequences
pp88-93No class 10/09 (Columbus Day)