MATH 4321 Real Analysis, Fall 2024
Syllabus

MATH 4321 Fall 2024 Syllabus

Class meeting

Hall 219 MW 3:30pm – 4:45 pm

Office hours

Hall 314U 4:45 pm– 5:30 pm; Anytime by appointment (please email me)

Main Reference

Typed notes below

Suggested References:
  1. Bartle's Introduction to Real Analysis,
  2. Abbot’s Understanding Analysis,
  3. Laczkovich-Sos' Real Analysis: Foundations and Functions of One Variable,
  4. Pugh's Real Mathematical Analysis,
  5. Rudin's Principle of Mathematical Analysis
  6. "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
Typed Notes
Real Analysis: Functions of a real variable (last update: Oct. 11, 2024, 9:35 p.m.)

If(when) you find a typo please email me :)

(Raw) Notes
Sets and Functions (Exercises)
- Sets
- Functions
The Natural numbers and countable sets (Exercises)
- The natural numbers
- Finite Sets
- Countable sets
- Sets Exercise Class
The real numbers (Exercises)
- Fields
- Intervals
- ** Extra credit and Group work **
Sequences and Series of Real numbers (Exercises)
- Sequences
- Properties of sequences
Homeworks

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

Exams

Midterm I with *** Solutions ***