MATH 4321 Fall 2025 Syllabus

Hall 219 MW 3:30pm - 4:45 pm

Hall 314U MW 2 pm - 3:20 pm; Anytime by appointment (please email me)

Real Analysis: Functions of a real variable (version: 10)

1. Abbots Understanding Analysis,
2. Rudin's Principle of Mathematical Analysis
3. "Survey Article: The real numbers A survey of constructions." Rocky Mountain J. Math. 45 (3) 737 - 762, 2015. https://doi.org/10.1216/RMJ-2015-45-3-737

Live Notes: click here

There will be a homework each week. These assessed questions will collectively count for 20% of your overall grade.

• HW 1: Do the following Exercises from chapter 1: 1,5,7,12,14. Deadline: Sep 3 (Solutions)
• HW 2: Do the following Exercises from chapter 1: 11,21,22,23,28. Deadline: Sep 14 (Solutions)
• HW 3: Do the following Exercises from chapter 2: 10,13,15,20,21. Deadline: Sep 24
• HW 4: Do the following Exercises from chapter 3: 1,2,3,4,5. Deadline: Oct 1
• HW 5: Do the following Exercises from chapter 3: 12,14,15,17,19 Deadline: Oct 8

Exam 1 Sep 17