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 assigned in the Monday and Wednesday classes in one calendar week should be put in the departmental homework-collection box before 14:00 next Friday.
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 (Feb 4, 2008)
12.3 Dot product; Projections
12.4 Cross product
Note 2 for 12.3 and 12.4
Homework: Sec 12.3: 6, 24, (Feb 6, 2008) Sec 12.4: 30, 32
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 (Feb 11, 2008)
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 (Feb 13, 2008)

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 (Feb 18, 2008)
Homework: Sec 13.2: 16, 28, 43 (Feb 20, 2008)
Homework: Sec 13.3: 24, 32 (Feb 25, 2008)

Class 7-14: Chapter 14. Partial Derivatives

14.1 Functions of two or more variables
Homework: Sec 14.1: 20, 42 (Feb 25, 2008)
14.2 Limits and continuity
14.3 Partial derivatives
Homework: Sec 14.3: 7, 31, 57, 65 (Feb 27, 2008)
14.4 Differentiability, local linearity, and differentials
Homework: Sec 14.4: 12, 29, 38 (March 3, 2008)
14.5 The chain rule
Homework: Sec 14.5: 1, 18, 40 (March 5, 2008)
14.6 Directional derivatives and gradients
Homework: Sec 14.6: 10, 31, 50 (March 10, 2008)
14.7 Tangent planes and normal vectors
Homework: Sec 14.7: 10, 11, 19 (March 12, 2008)
14.8 Maxima and minima of functions of two variables
Homework: Sec 14.8: 5, 10, 12 (March 17, 2008)
14.9 Lagrange multipliers
Homework: Sec 14.9: 1, 5, 14 (March 19, 2008)

Class 15-19: Chapter 15. Multiple Integrals

15.1 Double integrals
Homework: Sec 15.1: 16, 28 (March 31, 2008)
15.2 Double intergals over nonrectangular regions
Homework: Sec 15.2: 23, 25, 26 (April 2, 2008)
15.3 Double integrals in polar coordinates
Homework: Sec 15.3: 23, 45 (April 7, 2008)
15.4 Parametric surfaces; surface area
Homework: Sec 15.4: 10, 34, 46 (April 9, 2008)
15.5 Triple integrals
Homework: Sec 15.5: 17, 19, 25(a) (April 14, 2008)

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

16.1 Vector fields
Homework: Sec 16.1: 2, 12(a), 16 (April 16, 2008)
16.2 Line integrals
Homework: Sec 16.2: 12, 15, 26(b) (April 21, 2008)
16.3 Independence of path; conservative vector fields
Homework: Sec 16.3: 10, 16 (April 23, 2008)
16.4 Green's theorem
Homework: Sec 16.4: 8, 19, 22 (April 28, 2008)
16.5 Surface integrals
Homework: Sec 16.5: 2, 16 (April 30, 2008)
16.6 Application of surface integrals; flux
Homework: Sec 16.6: 9, 18 (May 5, 2008)
16.7 The divergence theorem
Homework: Sec 16.7: 8, 12, 18 (May 7, 2008)
16.8 Stokes's theorem
Homework: Sec 16.8: 5, 11 (May 14, 2008, no need to submit this set of homework)