Course Page Math 4250: The Theory of Calculus

Jan Zijlstra, Ph.D.

Maple Computer Algebra System

Maple Lab

Course Materials and Lecture Notes

Syllabus

Lab 1A (Due: Tuesday 9/4,13:00)

Lab 1B (Due: Thursday 9/6,13:00)

Lab 2 (Due: Tuesday 9/11,13:00)

Lab 3 (Due: Tuesday 9/18,13:00)

Sample Questions Test 1

Sample Questions Test 2

Topology Worksheet

Worksheet for Lagrange's Remainder Theorem

Thomae's function - a function that is continuous at all rational numbers, but discontinuous at all reals, is studied in this course

Reading Materials

An MAA Review of our textbook ...

Understanding Analysis by Stephen Abbott

Introductory discussions:

The Irrationality of sqrt(2).

Sequences and Series of Numbers

The Topology of the Real Line

Limits and Continuity of Functions

The Derivative of a Function

Sequences and Series of Functions

The Riemann Integral