MATH302 Elements of Analysis Spring 2018

Course Information

Instructor Dr. Changhui Tan
Lectures T Th 1:00pm - 2:15pm, at HBH 227
Office HBH 426
Office Hours M 2:00pm - 4:00pm, or by appointment
Textbooks (Required) Michael J. Schramm, Introduction to real analysis. (ISBN: 978-0486469133)


Course Description

  • The official course description on MATH 302.
  • This course contains an introductory treatment of topics in analysis and topology, with the real line as a central example. The main goal is to develop the skill of writing proofs using clear, cogent and complete mathematical language. Techniques include connected and compact sets, sequences and subsequences, continuity, and uniform approximation.


Homework Assignments

  • Homework assignments will be assigned and collected each week. The tentative due date is on Tuesday in class.
  • The homework is not pledged. You are encouraged to discuss the problems. However, each student is responsible for the final preparation of his/her own homework papers.
  • Last update: 4/11, Homework 8 is updated. It will be due on Tuesday 4/17 in class.
Homework # 1 2 3 4 5 6 7 8
Due 1/25 2/6 2/20 2/27 3/20 3/27 4/3 4/17
Download [H1] [H2] [H3] [H4] [H5] [H6] [H7] [H8]
Solution [S1] [S2] [S3]          



  • Final exam is available HERE. It is due on Monday 4/30 10am-1pm in my office. Please read the instruction carefully.
  • There will be an in-class midterm exam and a take-home final exam. The mid-term exam will be held on Thursday, March 1. You may use the textbook or notes, but no other help.
  • Exams are under the honor code. Be sure and hand in all the work you do on each problem. Good luck! 



  • Your grade is distributed as below:
  • Homeworks » 40%
    Midterm exam » 25%
    Final exam » 35%


Contact Information

  • Contact me at This email address is being protected from spambots. You need JavaScript enabled to view it. if you have any questions. You can also communicate via Canvas.