MATH1010C - University Mathematics - 2014/15
- Please check regularly the course homepage of MATH1010A for updates on course material (including homework assignments) that is common to all sections.
- Homework 1 is due Sept 15. Check webpage for MATH1010A for the homework.
- Homework 2 is due Oct 3. Check webpage for MATH1010A for the homework.
- Quiz 1 is Oct 8 in class. It covers functions, limits and differentiation (up to chain rule; c.f. Chapter 2.11 of Cheung-Lau). I will hold a special office hour on Oct 3, from 10am-12noon, at LSB 234, to help answer any question you may have.
- The math gym will be open beginning Sept 25. That's a good source (on top of the existing ones) where you can find help.
- Supplementary exercises 2 and 3 have been uploaded (see below). They are not to be turned in, but they form an important part of the course, and you're strongly advised to work through them carefully on your own.
- Homework 3 is due Oct 27. Check webpage for MATH1010A for the homework.
- Quiz 2 is Nov 5 in class. It covers everything up to L'Hopital's rule, and Cauchy's mean-value theorem (i.e. Section 3.5 of Cheung-Lau). You may find some revision exercises on the webpage of Math1010A.
- Homework 4 is due Nov 14. Check webpage for MATH1010A for the homework.
- Homework 5 is due Nov 28. Check webpage for MATH1010A for the homework.
- The final exam is on Dec 9, 9:30am-11:30am, at University Gymnasium. It covers everything in Cheung-Lau up to Chapter 5.5, excluding Chapter 2.15 and 5.4. It is advisable that you work out sufficiently many exercises, until you can confidently and efficiently solve standard questions in calculus. I will be in my office on Dec 4 (Thursday), 5-6pm, to answer any questions you may have.
Yung, Po Lam
- Office: LSB 234
Cho, Ki Kit Edward
- Office: LSB 232
- Office: AB1 505
Time and Venue
- Lecture: Wednesdays 11:30--12:15 YIA LT7, Thursdays 16:30--18:15 YIA LT7
- Tutorial: Thursdays 13:30--14:15, YIA LT3, Thursdays 18:30--19:15, YIA LT7
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.
- L. F. Cheung, C. H. Lau, University Mathematics (any edition), McGrawHill.
- G. B. Thomas, Thomas' Calculus (any recent edition), Addison-Wesley or Pearson.
- T. M. Apostol, Calculus (Volume 1) (Second Edition), Wiley.
- R. Courant, Differential and Integral Calculus (Volume I), Wiley-Interscience.
- R. Courant, F. John, Introduction to Calculus and Analysis (Volume I), Springer-Verlag.
- M. Spivak, Calculus (any edition), W. A. Benjamin or Publish or Perish or Cambridge University Press.
- Proof that exp(x)exp(y) = exp(x+y), with commentary
- Differentiability of an infinite series of functions, and the Weierstrass function
- A proof of chain rule (via linearization)
- Some important consequences of the mean-value theorem
- Some properties of trigonometric functions (derived from their power series definition)
- L'Hopital's rule: intuition, examples and proof
- An introduction to power series
- Integrals of the day: Part 1
- Integrals of the day: Part 2
- Integrals of the day: Part 3
- Integrals of the day: Part 4
|Quiz 1 (Oct 8)||20%|
|Quiz 2 (Nov 5)||20%|
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.
Last updated: January 15, 2015 15:45:52