Math 409
Section 501
Advanced Calculus I
Spring 2017

Course description
This three-credit course covers the axioms and the properties of the real number system; sequences of real numbers; sets of real numbers; continuity and uniform continuity of real functions; properties of derivatives of real functions; and the theory of integration on the real line developed by Cauchy and Riemann.
Course objective
A main goal of the course, essential to mastering the indicated material, is to learn how to apply precise mathematical reasoning in reading, understanding, and writing proofs of theorems in analysis.
The required textbook is A First Course in Real Analysis by Sterling K. Berberian, published by Springer-Verlag in 1994. Since the campus library subscribes to a collection of Springer books, TAMU students can download a pdf copy of the textbook for free. (You may need your TAMU NetID and password to download the book.) From the link at the campus library website, you can purchase a paper copy of the book for $24.99 (plus tax), significantly less than the list price. (Look for the box headed “MyCopy Softcover Edition.”)
This book is different from the book being used by the other sections of the course. We will cover Chapters 1–9.
The prerequisites for this course are Math 220 (Foundations of Mathematics) and Math 221 or Math 251 or Math 253 (Several Variable Calculus). The essential background is some prior exposure to writing mathematical proofs (which Math 220 provides).
Meeting time and place
The course meets in room 164 of the Blocker building on Tuesdays and Thursdays from 9:35 to 10:50.
The first class meeting is on Tuesday, January 17. The last class meeting is on Thursday, April 27, because the final class day of the semester (Tuesday, May 2) is a redefined day on which students attend their Friday classes.
Exams and grades
There will be examinations in class on February 23 (Thursday) and April 11 (Tuesday). The final examination takes place on Thursday, May 4, from 12:30 to 2:30 in the afternoon. Each of these three exams counts for 25% of the course grade. Homework/classwork counts for the remaining 25% of the course grade. Course letter grades are based on the standard scale (60% is passing, 70% or higher earns a C, 80% or higher earns a B, 90% or higher earns an A).
Course website
Office hours
During the Spring 2017 semester, my office hour in Blocker 601L is on Monday, Wednesday, and Friday afternoons from 2:00 to 3:00; I am available also by appointment.
The best way to contact me is via email to Telephone messages can be left at the Department of Mathematics, 979-845-7554.
Help sessions
There is a Math 409 help session starting the second week of classes.