MATH1010C - University Mathematics - 2015/16

General Information

Lecturer

• Yung, Po Lam
  • Office: LSB 234

Teaching Assistant

• Chau Chi Fai
  • Office: LSB 222B
• Du Peng
  • Office: AB1 505

Course Description

The main focus of this course is on one-variable calculus. On top of the methods and techniques of computation and their applications, this section places special emphasis on the theoretical foundations, for the benefit of those who want to acquire a deeper understanding of the subject.

*For homework assignments, and other material common to all sections of Math1010, please check http://www.math.cuhk.edu.hk/course/1516/math1010 instead.

Pre-class Notes

• Course outline
• How is University mathematics different from high school mathematics?

Lecture Notes

• Some consequences of the mean value theorem
• L'Hopital's rule: intuition, examples and proof
• Proofs of Taylor's theorem
• An introduction to power series
• Differentiability of an infinite series of functions, and the Weierstrass function
• The exponential and the logarithm
• The trigonometric functions
• The inverse trigonometric functions
• The hyperbolic functions

Assignments

• Supplementary Exercise 1 (No need to turn in)
• Supplementary Exercise 2 (No need to turn in)
• Supplementary Exercise 3 (No need to turn in)
• Supplementary Exercise 4 (No need to turn in)
• Supplementary Exercise 5 (No need to turn in)
• Supplementary Exercise 6 (No need to turn in)
• Supplementary Exercise 7 (No need to turn in)
• Supplementary Exercise 8 (No need to turn in)
• Supplementary Exercise 9 (No need to turn in)
• Supplementary Exercise 10 (No need to turn in)

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:

and thereby help avoid any practice that would not be acceptable.