MATH2010F - Advanced Calculus I - 2016/17
Announcement
- Welcome to the course. Here is the meeting schedule. [Download file]
- No tutorial in the first week. Tutorial will start from the 2nd week.
- Course outline(renew June 11) [Download file]
- Test 2 will be held on June 19(1.5 hr) and there will be tutorial.
- Test 2 covers chapter 4 and chapter 5.
- Final exam will be held on June 27(2 hr), 1:30-3:30 pm
- Final exam will cover chapters 4, 5, 6, 7.
- The Venue of final exam is LSB C1.
General Information
Lecturer
-
Yong Wang
- Office: LSB 228
- Tel: 39437955
- Email:
- Office Hours: 11:00-12:00, Monday
Teaching Assistant
-
Qile Yan
- Office: LSB 222C
- Tel: 39438570
- Email:
- Office Hours: 14:00-17:00, Thursday
Time and Venue
- Lecture: 1:30PM - 4:15PM, LSB C5, May 17, 19, 22, 24, 29, 31; June 5, 7, 12 14, 19, 21, 23, 26.
- Tutorial: 4:30PM - 5:15PM, LSB C5, LSB C5, May 22, 24, 29, 31; June 5, 7, 12 14, 19, 21, 23, 26.
Course Description
Advanced Calculus I is all about differentiation of functions of multiple variables in contrast to calculus in which only functions of a single variable is studied. This course consists of two parts: Firstly, the background which includes Euclidean space; straight lines, plane and quadric surfaces; parametric curves. Secondly, differentiation theory which contains partial differentiation, differentiation; curves, surfaces, and hypersurfaces; and unconstrained/constrained extremal problems including the Lagrange multipliers.
Knowledge of calculus and linear algebra comparable to MATH1010 Calculus and 1030 Linear Algebra I respectively is assumed.
Textbooks
- Thomas's Calculus. 12th Edition, Pearson, by George B. Thomas, Maurice D. Weir, and Joel Hass
References
- Differential Multivariable Calculus. McGraw-Hill, by Thomas Au. (Concise and comfortable to read)
- Advanced Calculus: A Course in Mathematical Analysis, 2nd edition, PWS, by P Fitzpatrick.
Lecture Notes
- Chapter 1
- Chapter 2(updated, May 22,typos are corrected)
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Chapter 7
Presentation Slides
Assignments
- Exercise 1(ONLY selected in blue; Due on 12:00noon, May 26)
- Exercise 2(ONLY selected in blue; Due on 12:00noon, June 02)
- Exercise 3
- Exercise 4
- Exercise 5(renew in June 14)
- Exercise 6
- Exercise 7
Solutions
- Solution to Exercise 1
- Solution to Exercise 2
- Solution to classwork 2
- Solution to Exercise 3
- Solution to classwork 2
- Solution to test 1(renew June 1)
- Solution to Exercise 4(renew June 8)
- Solution to classwork 4
- Solution to classwork 5
- Solution to classwork 6
- Solution to classwork 7
- Solution to exercise 5
- Solution to exercise 6
- Solution to Test 2
- Solution to classwork 8
- Solution to classwork 9
- Solution to exercise 7
Assessment Scheme
| Assignments (in- and off-class ) | 10% | |
| Test 1(The date fixed on May 31) | 25% | |
| Test 2(The date fixed on June 19) | 25% | |
| Final exam (The date fixed on June 27), LSB C1, 1:30--3:30 pm | 40% |
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: June 25, 2017 10:41:23