MATH2010E - Advanced Calculus I - 2023/24

Course Name: 
Course Year: 
2023/24
Term: 
S

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


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