University of Rhode Island MTH436: Mathematical Analysis and Topology II
Spring 2019

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
01/21Welcome back
5.4 Uniform Continuity
01/285.4 Uniform Continuity
5.6 Monotone and Inverse Functions
02/04Continuity in metric spaces
Closures, interiors and boundaries
02/11Compactness; Heine-Borel Theorem
Connectedness
02/186.1 Derivatives
02/256.2 Mean Value Theorem
Midterm I
03/046.3 L'Hospital's Rule
6.4 Taylor's Theorem
03/11Spring BreakIf you want to prepare in advance for integrals, you would review properties of infima and suprema.