MATH1010H - University Mathematics - 2019/20

Announcement

• Math1010H (updated) [Download file]
• For common materials and many useful informations please visit the main website: https://www.math.cuhk.edu.hk/~1010t2/#
• For pre-calculus (week 1 course work) and calculus topics please visit (this is also contained in the above main website): http://www.math.cuhk.edu.hk/~klchan/elearning/index.html

General Information

Lecturer

• Dr. Changhao CHEN
  • Email:

Teaching Assistant

• Dr. Chiu Hong LO
  • Email:
• Mr. Linghan ZHANG
  • Email:

Time and Venue

• Lecture: Tuesday 13:30-14:15, YIA LT7; Friday 9:30-11:15, WMY 507
• Tutorial: Thursday 17:30-18:15, YIA LT8

Course Description

The following is a copy from the main website: https://www.math.cuhk.edu.hk/~1010t2/#

This course is designed for students who need to acquire the knowledge and skills of one-variable calculus at a general level for the studies in science or engineering. The course places special emphasis on the theoretical foundations as well as the methods and techniques of computation and their applications.

Lecture Notes

• Week 1 (set and function)
• Week 2 (limit of sequence)
• Week 3 (limit of function)
• Limits of functions1
• Limits of functions2
• Continuous functions
• Differential1
• Differential2
• Differential3
• Differential4
• Application of Differentiation-1
• Application of Differentiation-2
• Review differential, Asymptotes
• Review various points, Taylor's theorem
• Taylor Polynomial/Theorem/Series
• Review Taylor Polynomial/Theorem/Series (PPT)
• Proof of Taylor's Theorem, L'hoptal's rule
• Definite integral and Newton-Leibniz formula
• Review integral, u-substitution and t-substitution
• Integral by substitutions, integral by parts
• Definite integral and Newton-Leibniz formula II
• Applications of definite integrals
• Applications of Fundamental theorem, review limits, continues functions, differentials
• Review extreme values, inequality, Taylor polynomials (Thank you!!)