 
Summary: Advanced Calculus I: Math 409
Spring 2007, TTh 11:1012:25 in ACAD 225
Professor: Michael Anshelevich, 326 Milner, manshel@math.tamu.edu.
Webpage: www.math.tamu.edu/~manshel/m409/m409.html.
Office hours: T 12:301:30, WF 1:302:30, or by appointment.
Text: William R. Wade, AN INTRODUCTION TO ANALYSIS, 3rd edition, Prentice Hall, 2004.
For the honors part of the course, I will also use the text by Steven R. Lay, Analysis: With an
Introduction to Proof, 4th edition, Prentice Hall, but you do not have to buy it.
Prerequisites: Math 220 and 221. Besides familiarity with calculus, the main prerequisite is some
exposure to basic mathematical logic and set theory, and some experience with elementary proofs;
you will learn how to do more complicated proofs in this course. For the 200 section, honors
standing is required.
Course outline:
· Review of proof methods. Properties of the real numbers (Chapter 1).
· Sequences (Chapter 2).
· Limits and continuity (Chapter 3).
· Differentiation (Chapter 4).
· Integration (Chapter 5).
· Time permitting: infinite series (Chapter 6).
Exams: We will have two inclass tests on February 20 and March 29. The final exam will be on
