Objectives: Introduction to
Analysis is designed to bridge the gap between the calculus courses
student just completed and the more sophisticated analysis courses offered to
graduate students of pure and applied mathematics. It also has great value to
students who wish to go beyond the routine manipulations of formulas to solve
standard problems. Upon successful completion of the course students
- Develop a rigorous
foundation for analysis.
- Understand basic
concepts in continuity, differentiability, integration and convergence of
sequences and series.
- Become familiar with
open and closed sets.
During the course the
ability to read and write proofs is stressed. The precise knowledge of
definitions is essential.
Text: Introduction to Real Analysis, by Robert G.
Bartle and Donald S. Sherbert, fourth edition. ISBN