MMAT5000  Analysis I  2015/16
Announcement
 (27/8) Welcome! If you are considering to add this course, please read the chapter 0 to have an overview of this course.
 (12/11) Class on 19/11 will be held at WMY 304, the room next to the usual one.
 (9/12) There is a typo in Q9 of problem set 8. Please check the solution.
General Information
Lecturer

CHAN Kai Leung
 Office: LSB 202A
 Tel: 39437969
 Email:
Time and Venue
 Lecture: Thursday 6:30pm  9:15pm, Wu Ho Man Yuen Bldg 303
Course Description
This course is designed for the M.Sc. Programme in Mathematics. The course is intended to provide an introduction to linear structures and analysis covering fundamental concepts and techniques involving mathematical proofs for metric/ topological results in the onedimensional and higher dimensional Euclidean spaces as well as in function spaces. Students who have passed MMAT5010, 5410, 5420, 5430 and 5440 are not allowed to take this course.
Textbooks
 Robert G. Bartle, Donald R. Sherbert, Introduction to Real Analysis
 James R. Munkres, Topology
 Erwin Kreyzig, Introduction to Functional Analysis
Lecture Notes
 Chapter 0: Overview
 Chapter 1: Preliminaries
 Chapter 2: Real Numbers
 Chapter 3: Sequences
 Chapter 4: Limits
 Chapter 5: Continuous Functions
 Chapter 6: Differentiation
 Chapter 7: Integration
 Chapter 8: Towards Topology and Functional Analysis
Assignments
 Problem Set 1
 Problem Set 2
 Problem Set 3
 Problem Set 4
 Problem Set 5
 Problem Set 6
 Problem Set 7
 Problem Set 8
Quizzes and Exams
 Quiz 1
 Quiz 1 (makeup)
 Solution to Quiz 1
 Quiz 2
 Solution to Quiz 2
 Quiz 2 (makeup)
 Final Examination
 Solution to Final Examination
Solutions
Assessment Scheme
Quiz 1 (8 Oct)  25%  
Quiz 2 (12 Nov)  25%  
Final Exam (17 Dec)  50% 
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: December 09, 2015 01:26:26