MATH2028 - Honours Advanced Calculus II - 2024/25

Announcement

• No class on September 2; no tutorial on September 4.
• Course Syllabus [Download file]
• Please be reminded that the Midterm Exam will take place on October 23, Wednesday 10:30-12:00 in the usual tutorial/lecture room (WHM 301). This is a closed-book exam covering all material up to the topic of Change of Variable (corresponding to Lecture Notes 1-3).

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General Information

Lecturer

• Zhongtao WU
  • Office: LSB 216
  • Tel: 3943-8578
  • Email:
• Wenbo LIAO (TA)
  • Office: LSB 232
  • Tel: 3943-5294
  • Email:
• Ke LIU (Grader)
  • Office: SC 333B
  • Email:

Time and Venue

• Lecture: Mo 10:30AM-12:15PM, Mong Man Wai Bldg 710; We 11:30AM-12:15PM, Wu Ho Man Yuen Bldg 301
• Tutorial: We 10:30AM-11:15AM, Wu Ho Man Yuen Bldg 301

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

• "Thomas' Calculus" by Hass, Weir, Bogacki, & Heil, Pearson
• "Calculus on Manifolds" by M. Spivak, CRC press

Lecture Notes

• Note 1 (Overview and Definition)
• Note 2 (Fubini, Polar coordinates, etc)
• Note 3 (Change of variables, Partition of unity)
• Note 4 (Line integral, Gradient Field, Green's Thm)
• Note 5 (Surface integral, Stokes and Divergent Thm)
• Note 6 (Differential forms, Generalized Stokes Theorem)

Tutorial Notes

• Tutorial Notes 25. Sep.
• Tutorial Notes 2. Oct.
• Tutorial Notes 9. Oct.
• Tutorial Notes 16. Oct.
• Tutorial Notes 30. Oct.
• Tutorial Notes 6. Nov.
• Tutorial Notes 13.Nov
• Tutorial Notes 20.Nov
• Tutorial Notes 27.Nov

Assignments

• Problem Set 1, due Sep 20
• Problem Set 2, due Oct 4
• Problem Set 3, due Oct 18
• Problem Set 4, due Nov 1
• Problem Set 5, due Nov 15
• Problem Set 6, due Dec 2

Solutions

• Solution to Homework 1
• Solution to Homework 2
• Solution to Homework 3
• solution to Midterm
• Solution to Homework 4
• Solution to Homework 5
• Solution to Homework 6

Assessment Scheme

Homework Assignments		10%
Midterm (10:30-12:00, Oct. 23)		40%
Final Exam		50%

Useful Links

• MATH2020A

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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Assessment Policy

Last updated: December 04, 2024 22:04:16