Course Syllabus

We have 25 classes in total.

Homework will be assigned through the WeBWorK system located at https://webwork.math.ust.hk/webwork2/.

WeBWorK is an open-source online homework system for math and sciences courses.

Please note that students can seek help at Math Support Center. For more information, please go to MSC webpage.

Here is a poster of Math Support Center.

The Midterm Exam is scheduled on March 29, 2014 (Saturday). You will be informed about the time and venue.

Grading policy: 10% Homework, 30% Midterm Exam, 60% Final Exam.

Solutions for Midterm Exam

Teaching Schedule

Class 1-3: Chapter 11. Parametric and Polar Curves

11.1 Parametric equations
11.2 Polar coordinates
11.3 Calculus in polar coordinates
Lecture notes: chapter11-1-3

Class 4-10: Chapter 12. Vectors and Vector-Valued Functions

12.1 Vectors in the plane
12.2 Vectors in three dimensions
12.3 Dot products
12.4 Cross products
12.5 Lines and curves in space
12.6 Calculus of vector-valued functions
12.7 Motion in space
12.8 Length of curves
12.9 Curvature and normal vectors
Lecture notes: chapter12-1-2
Lecture notes: chapter12-3-4
Lecture notes: chapter12-5-6
Lecture notes: chapter12-7-8
Lecture notes: chapter12-9

Class 11-18: Chapter 13. Functions of Several Variables

13.1 Planes and surfaces
13.2 Graphs and level curves
13.3 Limits and continuity
13.4 Partial derivatives
13.5 The chain rule
13.6 Directional derivatives and the gradient
13.7 Tangent planes and linear approximation
13.8 Maximum/minimum problems
Lecture notes: chapter13-1
Lecture notes: chapter13-2
Lecture notes: chapter13-3
Lecture notes: chapter13-4
Lecture notes: chapter13-5
Lecture notes: chapter13-6
Lecture notes: chapter13-7
Lecture notes: chapter13-8

Class 19-22: Chapter 14. Multiple Integration

14.1 Double integrals over rectangular regions
14.2 Double integrals over general regions
14.3 Double integrals in polar coordinates
14.4 Triple integrals
Lecture notes: chapter14-1
Lecture notes: chapter14-2
Lecture notes: chapter14-3
Lecture notes: chapter14-4

Class 23-25: Chapter 15. Vector Calculus

15.1 Vector fields
15.2 Line integrals
15.3 Conservative vector fields
Lecture notes: chapter15-1
Lecture notes: chapter15-2
Lecture notes: chapter15-3