MATH2010E - Advanced Calculus I - 2023/24
Announcement
- Makeup Midterm Friday 14th June (16:30 LT6)
General Information
Lecturer
-
Dr. Luke T. Peachey
- Office: 232A, Lady Shaw Building
Teaching Assistant
-
Dr. Chiu Hong LO
-
Dr. Hiu Ying MAN
Time and Venue
- Lecture: Mo, Tu, Thu (16:30 - 18:15, LSB LT6)
- Tutorial: Tu, Thu (15:30 - 16:15, LSB LT6)
Course Description
This course is intended to introduce the basics of the calculus of functions of several variables. The topics covered thus far are:
- Week 1:
- Euclidean Space
- Affine Subspaces
- Curves
- Week 2:
- Topological Terminology
- Vector-Valued Multivariable Functions
- Continuity
- Partial Derivatives
- Week 3:
- Differentiability
- Gradient and Directional Derivatives
- Total Derivatives
- Week 4:
- Jacobian Matrices
- Chain Rule
- Week 5:
- Extremal Points
- Taylor Series
- Second Derivative Test
- Week 6:
- Lagrange Multipliers
- Implicit Function Theorem
- Inverse Function Theorem
Textbooks
- Thomas’ Calculus Early Transcendentals, Thirteenth Edition
References
- Lecture notes of Dr. Man Chuen Cheng
Lecture Notes
Tutorial Notes
Assignments
- Homework 1 (due May 20th 2024, 18:00)
- Homework 2 (due May 27th 2024, 18:00)
- Homework 3 (due June 3rd 2024, 18:00)
- Homework 4 (due June 10th 2024, 18:00)
- Homework 5 (due June 17th 2024, 18:00)
- Homework 6 (due June 25th 2024, 18:00)
Solutions
- Solutions 1
- Solutions 2
- Solutions 3
- Solutions 4
- Solutions 5
- Solutions 6
- Midterm Solutions
- Makeup Midterm Solutions
Assessment Scheme
Homework | 15% | |
Mid-term (Tuesday 4th June, 4:30pm) | 25% | |
Final (Thursday 27th June, 4:30pm) | 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.
Assessment Policy Last updated: June 26, 2024 17:07:44