College of Creative Studies

Current Course Offerings
Spring 2007

Some course dealing with methods of rigorous proof is a prerequisite.

The present course will have four parts:

1. sequences, convergence, Cauchy condition, the theorem of Bolzano-Weierstrass to

prove coincidence of Cauchy and convergent sequences over the reals;

2. the basic theory of limits of functions; in particular, we will discuss relations with

convergent sequences;

3. continuous and uniformly continuous functions;

4. a brief introduction to the theoretical side of differentiation.

Many examples will be given and rigorously analyzed.

Prerequisite:

The instructor emphasizes one prerequisite for the course: an introduction to proofs, somewhat akin to Math 8 offered in the Mathematics Department.