MATH2060B - Mathematical Analysis II - 2014/15

Course Name: 
Mathematical Analysis II
Teacher: 
Prof. Po Lam YUNG
Course Year: 
2014/15
Term: 
2

Announcement

  • Midterm 1 will be held in class on Feb 12 (Thursday), from 8:30am-10:00am at LSB LT4. It covers Chapter 6 of Bartle and Sherbert, and Notes 1 on the course webpage (with the exception of Dini's theorem in Section 6.2, and Newton's method in Section 6.4). Please come to my office hours if you have any questions.
  • Midterm 2 will be held in class on April 2 (Thursday), from 8:30am-10:00am at LSB LT4. It covers Riemann integration, improper integrals, and uniform convergence of sequences of functions. You may consult, for your reference, Notes 2 (up to p.20) + Notes 2a on this webpage, and Chapter 8.1-8.2 of Bartle and Sherbert (the bounded convergence theorem and Dini's theorem there will not be examined).
  • I will hold a special office hour on March 31 (Tuesday), from 4:30pm-5:30pm. If you have any questions about the midterm, I'll be happy to help.
  • The final exam will be held on April 28 (Tuesday) 12:30pm-2:30pm, at Sir Run Run Hall. It covers differentiation, Riemann integration, uniform convergence, series of numbers, series of functions, and power series (for reference, that is the contents of midterms 1 and 2, plus Chapter 3.7 and 9.1-9.4 of Bartle and Sherbert, with exception of Raabe's test in Chapter 9.2).

General Information

Lecturer

  • Yung Po Lam
    • Office: LSB 234
    • Office Hours: Tuesdays 10:30am-11:30am

Teaching Assistant

  • Chan Guanheng
    • Office: AB1 505
    • Tel: (852) 3943 4298
    • Email:
    • Office Hours: Wed 2:30pm-5.00pm Fri 2:30pm-5.00pm
  • Lee Cheuk Yin
    • Office: LSB 232
    • Office Hours: Wed 10:30am -11:30am

Time and Venue

  • Lecture: T2, LSB LT3; H1-H2, LSB LT4
  • Tutorial: T1, LSB LT3; H3, LSB LT4

Course Description

This course is a continuation of MATH2050. Topics include: differentiability, Riemann integrals, infinite series of numbers, sequences and series of functions, and uniform convergence. The course places special emphasis on rigor and foundations. Students are expected to be able to understand various delicate points in analysis, and to present proofs rigorously, after completing this course.


Textbooks

  • R. Bartle and D. Sherbert, Introduction to Real Analysis, Wiley, 4th edition

References

  • R. Strichartz, The Way of Analysis, Jones and Bartlett.
  • T. Tao, Analysis, Volumes I and II, Hindustan Book Agency.
  • W. Rudin, Principles of Mathematical Analysis, McGraw-Hill.

Pre-class Notes


Lecture Notes


Tutorial Notes


Assignments


Solutions


Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

http://www.cuhk.edu.hk/policy/academichonesty/

and thereby help avoid any practice that would not be acceptable.

Last updated: April 14, 2015 19:34:33