MATH 311H Honors Elementary Analysis

An introduction to the theory of real variables, the topology of the real line, convergence and uniform convergence, limits and continuity, differentiation, Riemann integration and the Fundamental Theorem of Calculus. Additional topics discussed in this course and not covered in Math 311 include: construction of the real numbers, topology of metric spaces, sequences and series of functions.

Lectures: Mondays and Wednesdays 3:30 -- 4:50pm in Jones Hall 113

Office hours: Mondays and Wednesdays 2 -- 3pm (also Tuesdays and Thursdays 2 -- 3pm), or by appointment

Office: Jones Hall 101C

Textbook: Principles of Mathematical Analysis (3rd Edition) by W. Rudin (bookstore link). Our goal is to cover Chapter 1-6, and possibly Chapter 7.

Syllabus: pdf

Grades: 30% homework (including 2% for typesetting two in LaTeX) + 10% participation & presentation + 60% exams (1 quiz, 1 midterm plus final), check syllabus for details

We will use Blackboard and Gradescope. All course information and materials will be posted both here and on Blackboard. Homework should be submitted via Gradescope. You should have already been enrolled in the course on Gradescope, if you log in via School Credentials.

Here are some instructional videos for submitting homework on Gradescope: Submit homework on the Gradescope mobile app,

Submit pdfs on the Gradescope website

Please remember to assign each page of your submission to the corresponding problem, otherwise I may not be able to easily find your solutions.

LaTeX is a software system for document preparation, widely used by mathematicians and many other scientists to type their work. You are encouraged to typeset your homework in LaTeX, and required to do so for two of them.

LaTeX resources:
Overleaf Intro to LaTeX, many youtube videos (e.g. here)
Many templates on Overleaf for homework,  this blog post about the homework document class
Detexify: a tool to translate handwritten symbols to LaTeX codes
TeXShop (for MacOS), TeXstudio, and of course Overleaf (recommended -- easy to use, online)

Quiz, scheduled in class on Monday Sep. 29 at 3:30 -- 4:20 pm

Midterm, scheduled in class on Wednesday Nov. 12 at 3:30 -- 4:50 pm

Final Exam, scheduled on Monday Dec. 8 at 9:00am -- 12:00pm

Part I: Rational, real and complex numbers Last updated Sep. 14 (Ch. 1 of textbook)
a list of axioms (axioms labeled for your reference in homework)
Part II: Metric topology Last updated Sep. 14 (Ch. 2 of textbook)