MATH 400 Real Analysis

Instructor: Hemanshu Kaul
E-mail: kaul [at] iit.edu

Class Time: 2-3:15pm, Monday and Wednesday
Place: Blackboard Live Classroom

Office Hours: Monday at 3:30-4:30pm and Tuesday at 4:30-5:30pm on Google Meet (link will be shared through IIT Email and Calendar).

Discussion Forums: Math 400 Discussion Forums at Blackboard.

TA Office Hours: Ziheng Guo. Monday and Wednesday at 11am-12:30pm. Accessible through Virtual Math Learning Center.


|Course Information| |Advice| |Announcements| |Examinations| |Weekly Class Log| |Links|

Course Information:


This course is an introduction to the rigorous foundations of single-variable calculus - real number system; limits; convergence of sequences and series; continuity, differentiability, and integrability of functions.
The Course Information Handout has extensive description of the course - topics, textbook, student evaluation policy, as well as other relevant information. Read it carefully!

What is this course really about? Required reading.

The official course syllabi: MATH 400 (refer for topics only).

The end-of-semester letter for students: What Next?




Advice for students:

Excellent advice by Francis Su on good mathematical writing.

Why do we have to learn proofs?
Understanding Mathematics - a study guide
On a more abstract note, here is a discussion of Language and Grammar of Mathematics - which is what you are learning in a course like this.

Excellent advice for math majors, especially those planning to go on to graduate school, by Terry Tao, 2006 Fields medallist. Required reading.

Read this book on a variety of experiences in the journey to learn mathematics: Living Proof

Some of the primary sources of information/discussion for careers in Mathematical Sciences:
MAA - Careers
SIAM - Careers
INFORMS - Careers
AMS - Careers



Class Announcements:


Examinations:


Weekly Class Log with Videos, Discussion Questions, and HW:


Links for Additional Information:




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