General Information on Instructor, Textbook, Organization, Schedule, and Grading Policy

We have totally 27 classes.
Homework will be assigned after each class. The average load is two to three questions per section. Homework assignment can be found at the course webpage (see above), together with the date when it is due. There is a homework collection box next to the General Office of Mathematics Department (3/F, Lift 25/26).
Homework questions in Chapter 12
Homework questions in Chapter 13
Homework questions in Chapter 14
Homework questions in Chapter 15
Homework questions in Chapter 16

Solutions for Midterm Exam
Solutions for Final Exam

Class 1-4: Chapter 12. Three-Dimensional Space; Vectors

12.1 Rectangular coordinates in 3-space; Spheres; Cylindrical surfaces
12.2 Vectors
Note 1 for 12.1 and 12.2
Homework: Sec 12.1: 24(b), 25(b), 26(b), 28, Sec 12.2: 12(a)(d), 20, 39
(Assigned on 01/09/2009 for L1, due on 14/09/2009)
(Assigned on 04/09/2009 for L2, due on 18/09/2009)
12.3 Dot product; Projections
12.4 Cross product
Note 2 for 12.3 and 12.4
Homework: Sec 12.3: 6, 24, Sec 12.4: 30, 32
(Assigned on 03/09/2009 for L1, due on 14/09/2009)
(Assigned on 07/09/2009 for L2, due on 18/09/2009)
12.5 Parametric equations of lines
12.6 Planes in 3-space
Note 3 for 12.5 and 12.6
Homework: Sec 12.5: 9(a), 16, 52 (a)(c), Sec 12.6: 11, 21, 36
(Assigned on 08/09/2009 for L1, due on 21/09/2009)
(Assigned on 11/09/2009 for L2, due on 25/09/2009)
12.7 Quadric surfaces
12.8 Cylindrical and spherical coordinates
Note 4 for 12.7 and 12.8
Homework: Sec 12.7: 24, 26, 28, Sec 12.8: 18, 28
(Assigned on 10/09/2009 for L1, due on 21/09/2009)
(Assigned on 14/09/2009 for L2, due on 25/09/2009)

Class 5-6: Chapter 13. Vector-Valued Functions

13.1 Introduction to vector-valued functions
13.2 Calculus of vector-valued functions
13.3 Change of parameter; Arc length
Note 5 for 13.1, 13.2, and 13.3
Homework: Sec 13.1: 27, 31, 39
(Assigned on 17/09/2009 for L1, due on 28/09/2009)
(Assigned on 18/09/2009 for L2, due on 02/10/2009)
Homework: Sec 13.2: 16, 28, 43
Homework: Sec 13.3: 24, 32
(Assigned on 21/09/2009 for L2, due on 02/10/2009)
(Assigned on 22/09/2009 for L1, due on 05/10/2009)

Class 7-14: Chapter 14. Partial Derivatives

14.1 Functions of two or more variables
Homework: Sec 14.1: 20, 42
(Assigned on 24/09/2009 for L1, due on 05/10/2009)
(Assigned on 25/09/2009 for L2, due on 09/10/2009)
14.2 Limits and continuity
14.3 Partial derivatives
Homework: Sec 14.3: 7, 31, 57, 65
(Assigned on 28/09/2009 for L2, due on 09/10/2009)
(Assigned on 29/09/2009 for L1, due on 12/10/2009)
14.4 Differentiability, local linearity, and differentials
Homework: Sec 14.4: 12, 29, 38
(Assigned on 02/10/2009 for L2, due on 16/10/2009)
(Assigned on 06/10/2009 for L1, due on 19/10/2009)
14.5 The chain rule
Homework: Sec 14.5: 1, 18, 40
(Assigned on 05/10/2009 for L2, due on 16/10/2009)
(Assigned on 08/10/2009 for L1, due on 19/10/2009)
14.6 Directional derivatives and gradients
Homework: Sec 14.6: 10, 31, 50
(Assigned on 09/10/2009 for L2, due on 23/10/2009)
(Assigned on 13/10/2009 for L1, due on 27/10/2009)
14.7 Tangent planes and normal vectors
Homework: Sec 14.7: 10, 11, 19
(Assigned on 12/10/2009 for L2, due on 23/10/2009)
(Assigned on 15/10/2009 for L1, due on 27/10/2009)
14.8 Maxima and minima of functions of two variables
Homework: Sec 14.8: 5, 10, 12
(Assigned on 16/10/2009 for L2, due on 30/10/2009)
(Assigned on 20/10/2009 for L1, due on 02/11/2009)

Class 15-19: Chapter 15. Multiple Integrals

15.1 Double integrals
Homework: Sec 15.1: 16, 28
(Assigned on 19/10/2009 for L2, due on 30/10/2009)
(Assigned on 22/10/2009 for L1, due on 02/11/2009)
15.2 Double intergals over nonrectangular regions
Homework: Sec 15.2: 23, 25, 26
(Assigned on 23/10/2009 for L2, due on 06/11/2009)
(Assigned on 27/10/2009 for L1, due on 09/11/2009)
15.3 Double integrals in polar coordinates
Homework: Sec 15.3: 23, 45
(Assigned on 29/10/2009 for L1, due on 09/11/2009)
(Assigned on 30/10/2009 for L2, due on 13/11/2009)
15.4 Parametric surfaces; surface area
Homework: Sec 15.4: 10, 34, 46
(Assigned on 02/11/2009 for L2, due on 13/11/2009)
(Assigned on 03/11/2009 for L1, due on 16/11/2009)
15.5 Triple integrals
Homework: Sec 15.5: 17, 19, 25(a)
(Assigned on 05/11/2009 for L1, due on 16/11/2009)
(Assigned on 06/11/2009 for L2, due on 20/11/2009)

Class 20-27: Chapter 16. Topics in Vector Calculus

16.1 Vector fields
Homework: Sec 16.1: 2, 12(a), 16
(Assigned on 09/11/2009 for L2, due on 20/11/2009)
(Assigned on 10/11/2009 for L1, due on 23/11/2009)
16.2 Line integrals
Homework: Sec 16.2: 12, 15, 26(b)
(Assigned on 12/11/2009 for L1, due on 23/11/2009)
(Assigned on 13/11/2009 for L2, due on 27/11/2009)
16.3 Independence of path; conservative vector fields
Homework: Sec 16.3: 10, 16
(Assigned on 16/11/2009 for L2, due on 27/11/2009)
(Assigned on 17/11/2009 for L1, due on 30/11/2009)
16.4 Green's theorem
Homework: Sec 16.4: 8, 19, 22
(Assigned on 19/11/2009 for L1, due on 30/11/2009)
(Assigned on 20/11/2009 for L2, due on 04/12/2009)
16.5 Surface integrals
Homework: Sec 16.5: 2, 16
(Assigned on 23/11/2009 for L2, due on 04/12/2009)
(Assigned on 24/11/2009 for L1, due on 07/12/2009)
16.6 Application of surface integrals; flux
Homework: Sec 16.6: 9, 18
(Assigned on 26/11/2009 for L1)
(Assigned on 27/11/2009 for L2)
(There is no need to submit this assignment. Do it for your own benifit.)
16.7 The divergence theorem
Homework: Sec 16.7: 8, 12, 18
(Assigned on 30/11/2009 for L2)
(Assigned on 01/12/2009 for L1)
(There is no need to submit this assignment. Do it for your own benifit.)
16.8 Stokes's theorem
Homework: Sec 16.8: 5, 11
(Assigned on 03/12/2009 for L1)
(Assigned on 04/12/2009 for L2)
(There is no need to submit this assignment. Do it for your own benifit.)