MATH 100 Introduction to Multivariable Calculus
Syllabus - Fall 2010
Course Home Page
http://www.math.ust.hk/~maxhhe/math100.html
Please check the course home page for news regarding the course.
Intended learning outcomes for MATH100:
Upon the end of the course, students should be able to:
1. Develop an understanding of the core ideas and concepts of Multivariable Calculus.
2. Be able to recognize the power of abstraction and generalization, and to carry out mathematical
work with independent judgment.
3. Be able to apply rigorous, analytic, and numeric approach to analyze and solve problems using
Multivariable Calculus.
4. Be able to communicate problem solutions using correct mathematical terminology and good
English.
Lecture Schedule
L1: Mon 9:30-10:20 and Wed 9:30-10:20 at Room 2464
L2: Mon 13:30-14:20 and Fri 9:00-9:50 at Room 3008
Lecture Instructor: Dr. Xuhua He
Office: Room 3483; Email: maxhhe@ust.hk
Office hour: Tue and Wed 16:00-17:00
You are welcome to stop by my office anytime for a discussion.
Tutorial Instructor:
Zhang Jiaolong for T1A, T1B and T1C
Office: Room 3215; Email: zhangjl@ust.hk
T1A: Tue 9:30-10:20 at Room 2463
T1B: Thu 15:00-15:50 at Room 4619
T1C: Tue 15:00-15:50 at Room 2463
YuenChi Hung for T2A, T2B and T2C
Office: Room 3215; Email: warwick@ust.hk
T2A: Mon 16:30-17:20 at Room 2306
T2B: Wed 15:00-15:50 at Room 3598
T2C: Tue 18:00-18:50 at Room 2406
Grading
Based on one midterm examination, one final examination, and homework assignments.
Homework: 10 %.; Midterm Exams: 30 %.; Final Exam: 60 %.
Textbook: Anton, Bivens and Davis, Calculus, Late Transcendentals, 9th edition.
Reference book: William G. McCallum et. All, Multivariable Calculus, Wiley 1997.
The 8th edition of Anton's book and McCallum's book on 2-hour reserve in the HKUST library.
Homework: Problem solving is a fundamental part of the course, and you should work hard on the
homework assignments in order to succeed. Assignments will be announced in class and posted on the
website. You should be required to turn in your homework assignment in Tutorial section, following the
week in which it is assigned.
Midterm: We are going to have midterm exam on Oct 30, 2010. It will cover Chapter 11, 12 and 13.
Details will be announced later.
Course Schedule
Class 1-4: Chapter 11 Three-Dimensional Space; Vectors
Three-dimensional space; graphs of functions of two variables; vectors; lines, planes, quadric
surfaces; cylindrical and spherical coordinates
Class 5-6: Chapter 12 (§12.1—12.3) Vector-Valued Functions
Vector-valued functions; changes of parameters; arc length
Class 7-14: Chapter 13 (§13.1—13.8) Partial Derivatives
Partial derivatives; chain rules; total differentials; directional derivatives, gradient; maxima and
minima
Class 15-19: Chapter 14 (§14.1—14.5) Multiple Integrals
Double integrals; surface area; triple integrals
Class 20-27: Chapter 15 Topics in Vector Calculus
Line integrals; independent of path, Green’s theorem; surface integrals; the divergence theorem;
Stokes’ theorem