MATH2060B - Mathematical Analysis II - 2015/16

Announcement

• The tutorial class will begin in the third week.
• Test will be held on 7/3, 8:30-10:00 LSB LT3

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General Information

Lecturer

• LEUNG Chi Wai
  • Office: LSB 204
  • Tel: 3943 7982
  • Email:

Teaching Assistant

• Lixiang AN
  • Office: LSB 233
  • Tel: 3943-7957
  • Email:
• Lee Man Chun
  • Office: LSB 222A
  • Email:

Time and Venue

• Lecture: Mo 8:30AM - 10:15AM, LSB LT4; We 10:30AM - 11:15AM, LSB LT3
• Tutorial: Mo 10:30AM - 11:15AM, LSB C2; We 9:30AM - 10:15AM, LSB C2

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

Lecture Notes

• note on Riemann Integrals
• note on Riemann Integrals (2)
• note on Riemann Integrals (3)
• note on Riemann Integrals (4)
• note on Riemann Integrals(5)
• note on Riemann Integrals(6)
• note on Riemann Integrals(7)
• note 20/4
• note on Riemann Integrals(8)

Tutorial Notes

• Tutorial question from 1415
• extra tutorial question (class 2)
• tutorial class materials(15,17/2)
• uniform convergence
• 28/3 tutorial materials
• 6/4 tutorial materials
• short summary
• some correction on tutorial class 18/4

Assignments

• HW 1: p179, 5, 7, 8, 14 deadline: 29/1
• HW2: p187, 3 p196, 4, dedline: 5/2
• HW 3 p196: 8, 10, 15 deadeline: 15 Feb
• HW4: p215: 8, 15
• HW5: p215: 16, 17, 18 deadline:4/3
• HW 6 p225: 21 deadline: 25/3
• HW 7 p.246: 3, 13, 22, 23 deadline:1/4
• HW8 p252: 9,12,19 deadline:8/4
• HW9 p252: 8, 13 deadline:15/4

Quizzes and Exams

• midterm test suggested solution

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.

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Last updated: April 20, 2016 16:47:07