MATH2028 - Honours Advanced Calculus II - 2022/23

Course Name: 
Honours Advanced Calculus II
Teacher: 
Prof. Martin Man Chun LI
Course Year: 
2022/23
Term: 
1

Announcement

  • There is no class on Sep 5 (Mon) due to the university inauguration ceremony for undergraduates. The first lecture will be on Sep 6 (Tue). Since there are no Monday lectures in the first two weeks, we will instead have double lectures on the Tuesdays of Sep 6 and Sep 13 from 4:30 - 6:15PM instead.
  • If you are not yet official registered on CUSIS, please send me an email to let me know so that I can keep you updated about the course via emails.

General Information

Lecturer

  • LI Man-chun Martin
    • Office: LSB 236
    • Tel: 3943-1851
    • Email:
    • Office Hours: By appointment

Teaching Assistant

  • LO Chiu Hong
    • Office: LSB 228
    • Tel: 3943-7955
    • Email:
    • Office Hours: TBA

Time and Venue

  • Lecture: Mon 10:30AM-12:15PM, CKB UG04; Tue 4:30PM-5:15PM, SC L3
  • Tutorial: Tue 5:30PM-6:15PM, SC L3

Course Description

This is a continuation of MATH2018. The following topics will be discussed: multiple integrals in n-dimensions: areas and n-volumes, surface areas, volumes of submanifolds and hypersurfaces in n-space, change of variables; vector analysis: line integrals, surface integrals, integration on submanifolds, Green theorem, divergence theorem and Stokes theorem in n-dimensions.


References

  • "Calculus on Manifolds" by M. Spivak, 5th edition, CRC press
  • "Analysis on Manifolds" by J. Munkres, 1st edition, CRC press
  • "Functions of Several Variables" by W. Fleming, 2nd edition, Springer
  • "Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach", J. Hubbard and B. B. Hubbard, 5th edition, Matrix Editions
  • "Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds" by T. Shifrin, 1st edition, Wiley

Pre-class Notes


Assessment Scheme

Homework Assignments 10%
Midterm 40%
Final Exam 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.

Assessment Policy

Last updated: September 05, 2022 13:31:40