MATH2010C Advanced Calculus I, 2012-13

Announcement

• Here is the information concerning the detail of grading and the tentative schedule: [Download file]
• Here is a list of Practice Problems: [Download file]
• Test 1 covering Lectures 1-6 will hold in class on October 9. A review is given for your reference only.
• Corrections: prob.3,11.7 HW#03 should be 5x^2-8xy+5y^2=45; Prob. 22 sect. 11.7 HW#03 should be 4u^2-2v^2=1 whose graph is a hyperbola
• Corrections: tutorial 4, Q2, step3, t and s CAN NOT be 0 !!!
• Please be informed that classrooms for MATH2010C&D on 30 November 2012 (Fri) will be re-arranged as follows: (i) LSB LT5 for tutorial class (C&D, 08:30-09:15) on 30 November 2012 (Friday) will be changed to SWH 1; (ii) LSB LT5 for lecture class (C only, 09:30-11:15) on 30 November 2012 (Friday) will also be changed to SWH 1.
• As scheduled, Test 2 covering Lectures 7-12 will hold in class on November 13.

General Information

Course Description

Functions of several variables, partial differentiation, differential and its geometric meaning, chain rule, maxima and minima, Lagrange multiplier, mean value theorem, Taylor series, and implicit function theorem.

Textbooks

• Edwards & Penny. Calculus: Early Transcendentals (7th ed.) Chapters 11-12, and Matrix Version (6th ed.) Chapter 11. Prentice Hall

Lecture Notes

• Lecture Note 01
• Lecture Note 02
• Lecture Note 03
• Lecture Note 04
• Lecture Note 05
• Lecture Note 06
• Review for Notes 1-6 (Reference Only)
• Lecture Note 07 (page 3: in e.g. 1, the solution x(t) should be -1 not -1+t)
• Lecture Note 08
• Lecture Note 09
• Lecture Note 10
• Lecture Note 11
• Lecture Note 12
• Lecture Note 13
• Lecture Note 14
• Lecture Note 15
• Lecture Note 16
• Lecture Note 17

Tutorial Notes

• Tutorial Notes 1(Mon&Fri by Zhang Yi)
• Tutorial Notes 2(Mon&Fri by Zhang Yi)
• Tutorial Notes 3(Mon&Fri by Zhang Yi)
• Tutorial Notes 4(Corrections: tutorial 4, Q2, step3, t and s CAN NOT be 0 !!!)
• Tutorial Notes 5(Mon&Fri by Zhang Yi)
• Tutorial Notes 6(Mon&Fri by Zhang Yi)
• Tutorial Notes 7(Mon&Fri by Zhang Yi)
• Tutorial Notes 8(Mon&Fri by Zhang Yi)
• Tutorial Notes 9(Mon&Fri by Zhang Yi)
• Tutorial Notes 10(Correction in Q2)
• Tutorial Notes 11(Correction in Q3)
• Tutorial Notes 12(Mon&Fri by Zhang Yi)

Assignments

• Homework 01
• Homework 02
• Homework 03
• Homework 04
• Homework 05
• Homework 06
• Homework 07
• An additional example for HW07
• Homework 08
• Homework 09
• Homework 10
• Homework 11

Quizzes and Exams

• Test 1
• Reference answer to Test 1
• Test 2
• Reference answer to Test 2

Solutions

• solution of class exercise 1
• solution of class exercise 2
• sample solutions to practice problems 11.1-11.7
• solution of class exercise 4
• solution of class exercise 5
• solution of class exercise 6
• sample solutions to practice problems 12.1-12.5
• sample solutions to practice problems 11.5-11.7(7ed) [Corrections: Page 4, problem 31: the first term of r(t) should be (t^3/6+10), instead of (t^4/6+10);]
• solution of class exercise 7
• solution of class exercise 9
• solution of class exercise 8
• solution of class exercise 10
• sample solutions to practice problems sample solutions to practice problems 12.6-12.10

Assessment Scheme

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.