University of Rhode Island MTH436: Mathematical Analysis and Topology II
Spring 2018


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) to MTH436
5.4 Uniform Continuity
Revise your MTH435 notes.First week of class.
01/285.6 Monotone and Inverse Functions
11.4 Continuity in Metric Spaces
pp141-5;pp153-9;pp345-6Choice of topics after 11.4: either Compactness or Differentiation.
02/0511.2-3 Compactness in Metric Spaces
6.1 The Derivative
02/126.1 The Derivative
6.2 The Mean Value Theorem
02/196.3 L'Hospital's Rules
6.4 Taylor's Theorem
02/267.1 The Riemann Integralpp188-215
03/057.2 Riemann Integrable Functions
Midterm I
pp198-215Midterm I in class on 03/07
03/12Spring BreakThe Gruffalo by Julia DonaldsonNo knowledge check on this week's reading
03/197.2 Riemann Integrable Functionspp208-223No class 03/21 (because of snow Gremlins?)
03/267.2 Riemann Integrable Functions
7.3 The Fundamental Theorem(s)
No reading for this week
04/027.3 The Fundamental Theorem(s)
Lebesgue's Integrability Criterion
04/097.4 The Darboux Integralpp225-232Knowledge Check may include some "old classics" to check you remember important definitions and theorems.
04/168.1 Pointwise and Uniform Convergence
8.2 Interchange of Limits