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

Course Topics

Here is a basic outline of the topics we will cover (time permitting!) this semester.

Here are (some of) the topics that will be covered in this class.


  1. Notion of a limit.
  2. Proof of limit laws
  3. Cauchy sequences
  4. ...


  1. Definition of the limit of a series.
  2. Use convergence tests to show whether a series converges.
  3. ....

Metric Spaces

  1. Definition.
  2. Sequences in a metric space


  1. Continuity

Course Goals

By the end of the course, you should
  • Define the limit of a sequence and show a given sequence converges directly or using the limit laws.
  • Check convergence of a series.
  • ...
  • be able to cope with abstract mathematical ideas and observe how they allow the proof of general results.