## MA 30100, Spring 2018

### An Introduction to Proof through Real Analysis

An introduction to abstract reasoning in the context of real analysis. Topics may include axioms for the real numbers, mathematical induction, formal definition of limits, density, decimal representations, convergence of sequences and series, continuity, differentiability, the extreme value, mean value and intermediate value theorems, and cardinality. The emphasis, however, is more on the concept of proof than on any one given topic.

**Instructor: ** Dr. Philip Mummert, MATH 846, pmummert "at" purdue "dot" edu, 765 494 1914

**Text**: Analysis with an Introduction to Proof, 5th edition, Steven Lay, Pearson.

**Course Information:** Available on Blackboard