MATH1010C  University Mathematics  2014/15
Announcement
 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 CheungLau). I will hold a special office hour on Oct 3, from 10am12noon, 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 meanvalue theorem (i.e. Section 3.5 of CheungLau). 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, 9:30am11:30am, at University Gymnasium. It covers everything in CheungLau 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), 56pm, to answer any questions you may have.
General Information
Lecturer

Yung, Po Lam
 Office: LSB 234
Teaching Assistant

Cho, Ki Kit Edward
 Office: LSB 232

Jiang, Qingyuan
 Office: AB1 505
Time and Venue
 Lecture: Wednesdays 11:3012:15 YIA LT7, Thursdays 16:3018:15 YIA LT7
 Tutorial: Thursdays 13:3014:15, YIA LT3, Thursdays 18:3019:15, YIA LT7
Course Description
The main focus of this course is on onevariable 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.
References
 L. F. Cheung, C. H. Lau, University Mathematics (any edition), McGrawHill.
 G. B. Thomas, Thomas' Calculus (any recent edition), AddisonWesley or Pearson.
 T. M. Apostol, Calculus (Volume 1) (Second Edition), Wiley.
 R. Courant, Differential and Integral Calculus (Volume I), WileyInterscience.
 R. Courant, F. John, Introduction to Calculus and Analysis (Volume I), SpringerVerlag.
 M. Spivak, Calculus (any edition), W. A. Benjamin or Publish or Perish or Cambridge University Press.
Lecture Notes
 Syllabus
 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 meanvalue 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
Assignments
Assessment Scheme
Assignments  5%  
Quiz 1 (Oct 8)  20%  
Quiz 2 (Nov 5)  20%  
Final Exam  55% 
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