Math 401 [M]: Introduction to Analysis I
Course Description
This course offers an introduction to real analysis at the senior undergraduate level.
Real analysis is a continuation of calculus, and many of the concepts we introduce in this class should be familiar from calculus, e.g., functions, continuity, convergence, etc.
But we will introduce these concepts in new, more abstract, contexts.
The biggest change from calculus to real analysis is a shift in emphasis from calculations to formal arguments.
We will cover Chapters 1--4 from the book Lindstrøm: Spaces An Introduction to Real Analysis.
Topics covered include preliminaries (proofs, sets, functions, etc.), completeness, basics of metric spaces, convergence, compactness, and spaces of continuous functions.
Emphasis will squarely be on constructing sound mathematical arguments, i.e., proofs.
Announcements
Mon, Aug 23: |
The class will meet 12:05–1:20 PM in |
Wed, Aug 25: |
The room in Pullman has been changed to |
Fri, Aug 27: | The room in Pullman has been changed to Webster B8. |
Mon, Sep 27: | This week's lectures (Sep 28, Sep 30) will be delivered from Pullman. |
Wed, Oct 27: | Today's office hour will be 1–2 PM. |
Fri, Nov 12: | There will be an office hour today from 10–11 AM on zoom. |