MATH2020B - Advanced Calculus II - 2014/15
Announcement
- Here is the course plan: [Download file]
- No tutorial lecture in the first week : )
- Place and date for Test 1: ERB LT (William M.W. Mong Engineering Building), 17:30-18:15 on February 12. The covers are all contents of Chapter 15.
- Homework 05 need NOT be submitted; The reference solution to this homework will be uploaded by Feb 11.
- If you need extra help for the study of this course, please fill the attached file for your favourite time-slots and return the file to the Lecturer as soon as possible. [Download file]
- Test 2: Time and Date is 5:30pm-6:15pm on March 26 as scheduled, and the place is L1, Science Centre. Covers are all materials related to ONLY three lectures after Test 1 (Lect 5: Line integrals, Lect 6: Potential field, and Lect 7: Green's theorem). Please come 10 minutes earlier.
General Information
Lecturer
-
Renjun DUAN
- Office: LSB 206
- Tel: 39437977
- Email:
- Office Hours: Thursday 9:00am-12:00noon
Teaching Assistant
-
Yao XIAO
- Office: AB1 614
- Tel: 39434109
- Email:
-
Yin LI
- Office: AB1 505
- Tel: 39434298
- Email:
Time and Venue
- Lecture: Tu 4:30PM - 6:15PM, LSB LT2; Th 5:30PM - 6:15PM, LSB LT5
- Tutorial: Tu 6:30PM - 7:15PM, LSB LT2; Th 4:30PM - 5:15PM, LSB LT5
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 (Twelfth Edition) by Maurice D. Weir and Joel Hass. (Chapter 15 and Chapter 16)
References
- Edwards & Penney. Calculus: Early Transcendentals. Prentice Hall.
- Wrede & Spiegel. Advanced Calculus. Third edition. McGraw Hill.
- W. Rudin. Principle of Mathematical Analysis. McGraw-Hill. (More advanced)
Lecture Notes
Tutorial Notes
- TUT-1, Double integral over rectangles
- TUT-2, Double integral over general domains and polar form
- TUT-3,Triple integral over general domains
- TUT-4,Cylindrical and Spherical coordinates & Subsitutions
- TUT-5, Review on Chapter 15
- TUT-6, Line integrals
- TUT-7, Conservative vector fields
- TUT-8, Green's Theorem in the plane
- TUT-9, Surface Integrals
- TUT-10, Surface Integrals of vector fields type
- TUT-11, Divergence Theorem and Stokes' Theorem
Assignments
- Homework 01 (ONLY selected in red; Due on Jan 16)
- Homework 02 (Due on Jan 23)
- Homework 03 (ONLY selected in red; Due on Jan 30)
- Homework 04 (ONLY selected in red; Due on Feb 6)
- Homework 05 (ONLY selected in red; NO need to hand in!)
- Homework 06 (ONLY selected in red; Due on Feb 27)
- Homework 07 (ONLY selected in red; Due on March 13)
- Homework 08 (ONLY selected in red; Due on March 20)
- Homework 09 (ONLY selected in red; Due on March 27)
- Homework 10 (ONLY selected in red; Due is 6:30pm on April 9)
Quizzes and Exams
Solutions
- Solution to HW1
- Solution to HW2
- Solution to HW3
- Solution to HW4
- Solution to HW5
- Solution to HW6
- Solution to HW7
- Solution to HW8
- Solution to HW9
- Solution to HW10
Assessment Scheme
| Homework | 10% | |
| Test 1 (The date fixed on February 12) | 20% | |
| Test 2 (The date fixed on March 26) | 20% | |
| Final Exam (The date TBA by the University) | 50% |
Useful Links
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: April 11, 2015 17:32:26