Math 500

MATH 500 - Intermediate Analysis

This is a theoretical course on the fundamental concepts of analysis and the methods of proof.

Prerequisites: MATH 127 or MATH 147 or MATH 223 or MATH 243, and MATH 290 or MATH 291.

Class information:
Lectures Tue. Thu. 9:30-10:45 in 454 Snow Hall
Instructor Dionyssis Mantzavinos
Office hours Tue. Thu. 14:00-15:00 in 511 Snow Hall, or by appointment

 

Suggested Readings:
Kenneth A. Ross, Elementary Analysis: The Theory of Calculus, Springer
Joseph L. Taylor, Foundations of Analysis, American Mathematical Society
William R. Wade, An Introduction to Analysis, Prentice Hall

 

In particular, we will cover:

  1. The Real Number System
  2. Sequences of Real Numbers
  3. Continuity
  4. Differentiation
  5. Integration
  6. Infinite Series of Real Numbers
  7. Sequences and Series of Functions (if time permits)

Homework (assigned every Thursday and due the following Thursday)

Exams:
Midterm Exam 1 on Thursday, February 27 (in class)
Midterm Exam 2 on Thursday, April 23 (in class)
Final Exam on Friday, May 15, 7:30 – 10:00, 454 Snow Hall