MATH322 Introduction to Analysis II Spring 2016

Course Information

Instructor Dr. Changhui Tan
Lectures M W F 3:00pm - 3:50pm, at HBH 227
Office HBH 328
Office Hours M 4:00pm - 4:50pm, F 2:00pm - 2:50pm, or by appointment
Textbooks (Required) Walter Rudin, Principles of Mathematical Analysis: third edition. (ISBN: 978-0070542358)


Course Description

  • The official course description on MATH 322.
  • This class is mainly a continuation of MATH 321. It is expected that stu- dents will be familiar with basic methods of analysis such as metric spaces, compactness, continuity, sequences and series of functions. The material covered in this course will include differentiation and integration, further topics of sequences and series of functions, power and Fourier series, and theory of functions of several variables. Additional relative topics will be covered if time permits.


Homework Assignments

  • Homework assignments will be assigned and collected each week. The tentative due date is on Monday 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: 4/14, Homework 11 is available, due on Wednesday 4/20 in class.
  •  Download Homework Assignments and Solutions.



  • There will be a midterm exam and a final exam. Both exams will be take-home. You may use the textbook or notes, but no other helps.
  • Exams are under honor code. Be sure and hand in all the work you do on each problem. Good luck! 
  • Last update: 4/30, the solution of the final exam is available.
  •  Download Exams and Solutions.



  • Your grade are 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 leave a comment below or via Canvas.