Spring 2026, MATH 517, Section 1, CRN 24787 
"Intro. Real Analysis"

Class Time/Room:  MWF 12pm, Wagar.132

Instructor  Prof. Jiangguo "James" Liu
Office: Weber  116;  Phone: (970)491-3332
Email: jiangguo.liu@colostate.edu (but CANVAS email preferred)
URL: https://www.math.colostate.edu/~liu/
Office Hours:  MWF 2pm, Thu.2pm, and by appointments.

Textbook and Supplementary Readings
* (1976) W.Rudin, Principles of Mathematical Analysis, 3rd ed., McGraw-Hill, ISBN 0-07-054235-X ("baby" Rudin).
* (2003) B.R.Gelbaum, J.Olmsted, Counterexamples in Analysis, Dover, ISBN 978-0-4864-2875-8.
* (2013) K.A.Ross, Elementary Analysis: The Theory of Calculus, 2nd ed., Springer, ISBN 978-1-4614-6270-5. 

Course Contents
* "baby" Rudin: Mainly Ch.1,2,3,4,5,7, 8(selected sections), 9,10;
* "baby" Rudin: Ch.6 if time permits;
* Some topics from other books.

Homework & Attendance (50%)
There will be 2 half-size and 6 full-size mandatory homework assignments;
Posted on CANVAS; Collected and graded. 

Midterm (25%)
Fri. March 13, 2026; In class; Closed book/notes.

Final (25%)
Wed. May 13th, 2026, 7:30-9:30am, Wagar.132;
Cumulative; Closed book/notes; As a Qual.Exam aslo.

Course Letter Grade
A (100-90)  B (89-80)  C (79-70)  D (69-60)  F (<60)
Plus/minus grades may be assigned at the margins.

Makeups
We shall follow the rules set by the University.

Last modified by James Liu on Fri.01/16/2026