EMAT 233
Matrices & Advanced Calculus
Winter 2003

 

Instructor:   Dr. Ming Mei

Office:   LB 541-1 (SGW Campus)

Telephone:  (514)848-3236 (office)

Email:   mei@mathstat.concordia.ca

Website:   http://www.math.mcgill.ca/~mei

Office Hours:  13:00-14:00 Tuesday and Thursday

Course Examiner:  Dr. Chantal David, LB 541-2, 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 1-hour 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 odd-numbered problems in Appendix.
 
 
 

Week
 Sections Topics Exercises Numbers
1
 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 
2
 9.1 

 

 Vector Functions 

 

 9.1 

 

 2, 4, 9, 11, 12, 18, 21, 24, 25, 27, 30, 33, 36, 39, 41, 42
3
 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
4
 9.4  Functions of Several Variables  9.4 3, 6, 9, 15, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 53
5
 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
6
 9.8  Line Integrals  9.8  3, 6, 9, 15, 21, 27, 30, 33, 36
7
 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
8
 9.10

9.11 
 

 Double Integrals (end)

Double Integrals in Polar 
Coordinates 
9.11 
3, 6, 12, 24, 27, 30
9
 9.12 Green's Theorem  9.12 3, 6, 9, 12, 18, 19, 24, 25, 27
10
 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
11

 

 9.15 Triple Integrals 9.15 6, 15, 21, 24, 27, 45, 48, 51, 54, 57, 69, 72, 75, 78, 81
12

 

 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
13
   REVIEW