MATH2020A - Advanced Calculus II - 2014/15

Announcement

• (Revised) course schedule [Download file]
• The first tutorial class will be held on 4/9/2014
• Homework is due in the box on the second floor of LSB on THURSDAY at midnight
• Midterm is on Oct. 13, 4:30-6pm, covering material up to the 4th week. Don't miss it - there will be no make-up!
• No tutorial session on Oct. 16.
• There is some mistake in the proof of Archimedes' principle, i.e., the surface should be assumed to be fully submerged into the fluid. You may take a look at the tutorial note 9.
• There is no tutorial class at 20/11/2014
• Final exam is scheduled on Dec, 9, 3:30-5:30pm, covering Chapter 15, 16 of "Thomas' Calculus".
• There is a small mistake on the answer of HW9#5)d) discussed at the tutorial class. You may take a look at the tutorial note 10.
• The reference solution for the final exam is uploaded. Those who are interested in it may take a look :)

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General Information

Lecturer

• Zhongtao WU
  • Office: LSB 235
  • Tel: 3943 8578
  • Email:

Teaching Assistant

• Ka-Ho WONG
  • Office: LSB 232
  • Tel: 3943 3575
  • Email:
• Xiaohui NIU
  • Office: LSB 222A
  • Tel: 3943 3575
  • Email:

Time and Venue

• Lecture: Mo 4:30pm - 6:15pm; Th 5:30pm - 6:15pm, LSB LT2
• Tutorial: Th 4:30pm - 5:15pm; Th 6:30pm - 7:15pm, LSB LT2

Course Description

This is a continuation of MAT2010. The following topics will be discussed: multiple integrals, change of variables formula, vector analysis, line and surface integral, Green's Theorem, divergence theorem, and Stokes' theorem.

Textbooks

• Thomas' Calculus, Multivariable (12th Edition), by Thomas, Weir, and Hass, of Pearson

Lecture Notes

• Holomorphic Functions
• Differential Forms and Integration, by Terence Tao
• Differential Forms and Generalized Stokes' Theorem
• Reference: "Calculus of Variations", by Gelfand and Fomin

Tutorial Notes

• tutorial 1
• tutorial 2
• tutorial 3
• tutorial 4
• tutorial 5
• tutorial 6
• tutorial 7
• tutorial 8
• tutorial 9
• tutorial 10
• Reference solution for the final exam

Assignments

• HW1
• HW2
• HW3
• HW4
• HW5
• HW6
• HW7
• HW8
• HW9, due November 24, at 4 p.m
• Remark on HW9

Quizzes and Exams

• Midterm

Solutions

• Suggested Solutions of HW1
• Suggested Solutions of HW2
• Suggested Solutions of HW3
• Suggested Solutions of HW4
• Suggested Solutions of HW5
• Suggested Solutions of HW6
• Suggested Solutions of HW7
• Suggested Solutions of HW8
• Suggested Solutions of HW9

Assessment Scheme

Homework		10%
Midterm Exam		30%
Final Exam		60%

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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Last updated: July 27, 2015 15:47:53