Matrices & Advanced Calculus Winter 2003 
Instructor: Dr. Ming Mei
Office: LB 5411 (SGW Campus)
Telephone: (514)8483236 (office)
Email: mei@mathstat.concordia.ca
Website: http://www.math.mcgill.ca/~mei
Office Hours: 13:0014:00 Tuesday and Thursday
Course Examiner: Dr. Chantal David, LB 5412, Email: chantal@mathstat.concordia.ca
Text: Advanced Engineering Mathematics by Zill and Cullen, 2nd Edition (with Student Solution Manual)
Final Grade: The maximum of the weighted average of the tests (40%) and the final (60%), or the final exam alone (100%). Two 1hour tests will be given during the term. Missed tests cannot be made up.
Assignments: The assignments
are not to be handed in, but are very important as they indicate the level
of the problems that the students are expected to solve. The solutions
to the assignments are in the Student Solution Manual. The book also provides
answers to oddnumbered problems in Appendix.

Sections  Topics  Exercises  Numbers 

7.1 to 7.5

Fast Review of Vectors

7.1
7.2 7.3 7.4 7.5 
30, 33
24, 27 12, 21, 39, 45 3, 13, 48, 51 3, 21, 39, 45 

9.1

Vector Functions

9.1

2, 4, 9, 11, 12, 18, 21, 24, 25, 27, 30, 33, 36, 39, 41, 42 

9.2
9.3 
Motion on a Curve
Curvature and Components of Acceleration 
9.2
9.3 
2, 6, 9, 12
9, 12, 17, 18, 21, 22, 24 

9.4  Functions of Several Variables  9.4  3, 6, 9, 15, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 53 

9.5
9.6 9.7 
Directional Derivatives
Tangent Plane and Normal Line Divergence and Curl 
9.5
9.6 9.7 
3, 6, 12, 15, 18, 24, 27
3, 6, 15, 21, 27 9, 15, 21, 27, 30, 37 

9.8  Line Integrals  9.8  3, 6, 9, 15, 21, 27, 30, 33, 36 

9.9
9.10

Line Integrals Independent
of Path Double Integrals (begin) 
9.9
9.10

3, 6, 15, 18, 21, 24
9, 12, 15, 21, 27, 33, 36, 39, 42 

9.10
9.11

Double Integrals (end)
Double Integrals in Polar

9.11 
3, 6, 12, 24, 27, 30 

9.12  Green's Theorem  9.12  3, 6, 9, 12, 18, 19, 24, 25, 27 

9.13
9.14 
Surface Integrals
Stokes' Theorem 
9.13
9.14 
3, 6, 15, 18, 30, 33, 36
3, 6, 9, 12, 15, 18 

9.15  Triple Integrals  9.15  6, 15, 21, 24, 27, 45, 48, 51, 54, 57, 69, 72, 75, 78, 81 

9.16
9.17 
Divergence Theorem
Change of Variable in Multiple Integrals 
9.16
9.17 
3, 6, 9, 12, 18
9, 12, 15, 18, 24, 29, 30 

REVIEW 