MATH2010E - Advanced Calculus I - 2018/19

Announcement

• Midterm: 9:45-11:15 am, June 10; Final term: 10:00-12:00am, June 28
• (20/5) HW1 is posted. It will be due at 3pm on 30/5.
• (30/5) HW2 is posted. It will be due at 3pm on 6/6.
• (3/6) Midterm Exam will be held in Mong Man Wai Building -(MMW LT1) at 9:45-11:15am on Monday, June 10. The exam will cover topics in lecture notes of week 1-3,part of week 4(until directional derivative), HW1-2 Remember to bring your SID to the exam.
• (10/6) Some students want more exercise, therefore, I upload some extra exercises, no need to hand in, it will not count in your final grade
• Midterm solution is posted.
• (20/6) HW5 is posted. It will be due at 3pm on 27/6.
• (20/6) Final Exam will be held in Lee Shau Kee Building (LSK LT7) at 10:00-12:00am on Friday, June 28. The exam will cover topics in lecture notes of week 1-7, HW1-5 Remember to bring your SID to the exam.

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General Information

Lecturer

• Lina Zhao
  • Office: LSB233
  • Email:

Teaching Assistant

• Alan Chin Ching Yeung
  • Office: AB1 614
  • Tel: 39434109
  • Email:

Course Description

Functions of several variables, partial differentiation, differential and its geometric meaning, chain rule, maxima and minima, Lagrange multiplier, mean value theorem, Taylor series, and implicit function theorem.

Mainly follow the Textbook by Prof Thomas KK Au for general n-dimension, and supplemented by the Thomas' Calculus on examples, special cases for 2 and 3 dimensions, and exercises.

Textbooks

• Thomas Kwok-Keung AU, Differential Multivariable Calculus, Asian Customized Edition, McGraw Hill Education
• Thomas, Weir & Hass, Thomas' Calculus, 12th Ed., Pearson

References

• S. Lang, Calculus of Several Variables, 3th Ed., Springer

Lecture Notes

• Week 1
• Week 2
• Week 3
• Week 4
• Week 5-1
• Week 5-2
• Week 6-1
• Week 6-2
• Week 7

Tutorial Notes

• Tutorial 1
• Tutorial 2
• Tutorial 3
• Tutorial 4
• Tutorial 5
• Tutorial 6
• Tutorial 7
• Tutorial 8
• Tutorial 9
• Tutorial 10
• Tutorial 11
• Tutorial 12
• Tutorial 13

Assignments

• HW1(due at 3pm,30/5)
• --HW1 (Question Numbers in the 13 edition)
• HW2(due at 3pm, 6/6)
• --HW2 (Question Numbers in the 13 edition)
• HW3(due at 3pm, 13/6)
• extra exercise 1, no need to hand in
• HW4(due at 3pm, 20/6)
• --HW4 (Question Numbers in the 13 edition)
• extra exercise 2, no need to hand in
• HW5(due at 3pm, 27/6) revised
• --HW5(Question Numbers in the 13 edition)

Quizzes and Exams

• Suggested Solution for Mid Term

Solutions

• Suggested Solution for HW1
• Suggested Solution for HW2
• solution for problem 4 in extra exercise 2. Please take a deep look and try to understand everything employed in the proof
• Suggested Solution for HW3
• Suggested Solution for HW4
• Suggested Solution for HW5

Assessment Scheme

Homework		12%
Midterm Exam		36%
Final Exam		52%

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: June 27, 2019 11:20:39