Math 2043: Honors Mathematical Analysis 



Instructor:
Maosheng Xiong : mamsxiong AT ust DOT hk
Office: 3477  Tel: 2358-7456
Office hours: Friday 20:00--20:50, via Zoom meeting ID 957 406 679. Please join if you have any questions, or make an appointment for another time. Or simply stop by my office anytime during weekdays when I am available. 


TA:
Yahong Yang (yyangct@connect.ust.hk)
Tutorial session: Monday 19:30--20:20. 


Lecture:
Monday 13:30--14:50, Rm. 2302
Friday    09:00--10:20, Rm. 2302


Course Description:
4 credit units. This is the first part of a year-long honor course on real analysis targeted at mathematically mature undergraduate students. Topics include: supremum and infimum, completeness of real numbers, point-set topology, analysis of single-variable functions, Riemann integrals, uniform convergence, etc.
Prerequisites:
By instructor's approval or ARRO's pre-registration. The course is only recommended for those who obtained B+ (preferably A-) or above in MATH 1023. 


Textbook:
Lecture notes written by Prof. Min Yan


Online Reference books:
1. Walter Rudin, Principles of Mathematical Analysis
2. Terence Tao,  Analysis I, 3rd Edition.
3. Tom Apostol, Mathematical Analysis.


Grading Policy: no extra credit.
Homework: 20%
Midterm Exam (120 minutes): 25% -- TBA. 
Final Exam (180 minutes): 55% --TBA
.

Homework Policy
There will be a total of (about) 10 weekly Homework, assigned on or before Tuesdays. Each homework is worth 10 points, for a total of 100 points (which count as 20 points toward the total grades). 
Each homework assigned during the week is DUE at 5:00pm at the coming Monday (or Tuesday if Monday is a public holiday), either via email to the TA, or dropped off in the Math 2043 Mailbox at the math department.
No late homework will be accepted.


Suggestions to students:
0. Learn to be disciplined!
1. Come to class on time.
2. Attendances are not mandatory but strongly recommended.
3. Read the textbook and do exercises before and after classes.
4. Turn off cell phones and keep quiet in class.
5. If you have to go to bathroom or leave early for some reason, just go quietly without interrupting others.


Academic Integrity
Students are required to maintain the highest standards of academic integrity. Click the above website for university regulation. No cheating will be tolerated. Honesty is the best policy.


Homework Assignments and course materials: Check Canvas