# MATH1010H - University Mathematics - 2019/20

Course Year:
2019/20
Term:
2

### Announcement

• 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!!)

Assessment Policy

Last updated: August 10, 2020 09:36:06