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