**Dr. Paul C DuChateau**

129

(970) 491-6565

pauld@math.colostate.edu

(by appt)

M317 is an introductory course in real analysis where we reexamine the fundamentals of calculus in a more rigorous way than is customary in the beginning calculus courses and develop those theorems that will be needed to continue in more advanced courses. At the same time, we try to illustrate how proofs are constructed so that by the end of M317 the students should be able to read and write correct proofs for simple mathematical statements.

We will cover the following topics:

An axiomatic development of the real numbers

Sequences and series

Continuity

Differentiation

Integration

The grade in the course is based on :

Assigned problems 35%

In Class exams 35%

Final exam 30%

**Assigned Problem Sets**

These will be assigned in class and posted here after they are assigned

Solutions will be posted after the assignments have been handed in

**Downloadable Notes:**