MMAT5000 - Analysis I - 2014/15

Course Name: 
Analysis I
Teacher: 
Prof. Ping Kwan TAM
Course Year: 
2014/15
Term: 
1

Announcement

  • Welcome to the homepage of MMAT5000. Please visit the page regularly and often.
  • 1 Sept.: We have agreed on the assessment scheme and schedule tonight. The exact time of the tests and exam will be announced in due course, but no change of the dates will be considered. No supplementary test nor exam will be allowed except for very special cases (mostly with prior approval by Dr Tam, or by the University).
  • 6 Sept.: The day being the mid-autumn festival, our next Monday (8 Sept 2014) class will be adjourned around 8:50pm, with a 5-minute break in between (and no other recess).
  • 3 Oct.: For Q.3 of Test 1, one can show that y_{2n+1}=< y_3 directly (by using the definition).
  • 18 Oct.: As scheduled at the beginning of the term, our Test 2 will be held in the class of Monday 20 October 2014, from 8:10pm - 9:10pm. The scope will be Lecture Notes Section 7- Section 11 (inclusive), Homework 2, and discussions in the classes. We will have lectures from 6:30pm - 8:00pm as usual. Please note also we have a new item "pre-class notes" in the homepage below.
  • 24 Nov.: As scheduled at the beginning of the term and confirmed during the class last week, we'll have the final exam today. Before that, your Quiz 2 papers will be returned to you for checking. The final exam will start at 6:45pm, and last for 2 hours.

General Information

Lecturer

  • TAM, Ping Kwan
    • Office: Rm. 209, LSB
    • Tel: 3943 7961
    • Email:

Teaching Assistant

  • YU, Rongfeng
    • Office: Rm. 614, AB1
    • Tel: 3943 4109
    • Email:

Time and Venue

  • Lecture: as scheduled by the University
  • Tutorial: no tutorial classes

Course Description

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 one-dimensional and higher dimensional Euclidean spaces as well as in function spaces. (Students who have passed MMAT5010, 5410, 5420, 5430 and 5440 should not take this course.)

We will essentially cover the textbook's Chapters 1 - 4, 6, and 9. Some of the more theoretical consideration of the reference book will also be studied. The main topics are: real numbers, functions, continuity, differentiation, integration, and uniform convergence.


Textbooks

  • Foundations of Mathematical Analysis, by S. Ponnusamy, Boston: Springer Science, 2012. (E-version available via University Library.)

References

  • Analysis I, by Herbert Amann and Joachim Escher, Basel: Birkhauser Verlag, 2005. (E-version available via University Library.)

Pre-class Notes


Lecture Notes


Assignments


Solutions


Assessment Scheme

3 Homeworks (to be submitted on/before 15/9, 13/10, 10/11) 9%
Test 1 (for 1 hour, to be held in class on 22/9) 18%
Test 2 (for 1 hour, to be held in class on 20/10) 18%
1 Final Exam (for 2 hours, to be held in class on 24/11) 55%

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 03, 2014 19:25:02