INTRODUCTION TO ANALYSIS

Course Description

We will cover convergent sequences and Cauchy sequences, limits of functions, continuity and uniform continuity, the derivative of a function, Rolle's Theorem and the Mean Value Theorem, and l'Hospital's Rule. Moreover, we will cover compact sets, and in this connection, encounter basic topological properties of the real numbers.

Required Text

E.D. Gaughan, Introduction to Analysis, Fifth Edition, American Mathematical Society, 2009