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Schedule of Lectures: Fall 2016
Week
Date Topic Book Section Practice Exercises Homework and Tutorials
13.09 Introduction to the course New coordinates 1.1 - 1.6 1.3: 23,24,25,28 1 15.09 Functions of several variables, graphs and level sets 2.1 1 - 35 problem set #1 16.09 Vector valued functions 2.1 1-9, 10,12,13, 34-42 Tutorial #1 20.09 Limits and continuity 2.2 7-23, 28-33, 38-45 solutions #1 2 22.09 Using epsilon-delta 2.2 34-44 problem set #2
23.09 Partial derivatives. 2.3 2.3: 1-25, 2.4:9-18, 21-22 Tutorial #2 Tutorial #2 27.09 Differentiability I 2.3 solutions #2 3 29.09 Differentiability II 2.3 26-39, 51 problem set #3 30.09 Properties of the derivative 2.4 1-8 Tutorial #3 04.10 Tangent planes and the derivatve 2.3 29-34 solutions #3 4 06.10 The chain rule 2.5 9-22 problem set #4 07.10 Chain rule 2.5 1-9, 16-27 Tutorial #4 11.10 Chain Rule and gradient 2.5 2.6: 28-41, 3.1: 1-10, 25-30 solutions #4 5 13.10 Directional derivatives and gradients 2.6 28-41 problem set #5 14.10 Gradients and geometric properties. Gradient fields, lines of steepest descent. 2.6 Tutorial #5 18.10 Parametric curves, vector fields, flow lines 3.3 solutions #5 6 20.10 Gradient fields and Curl 3.4 problem set #6 21.10 Divergence of vector fields 3.4 42-49 Tutorial #6 25.10 Vector operators and identidies 3.4 1-18 solutions #6 26.10 Midterm Exam 7-8:30 TBA FAQ Solutions to midterm 2016 7 27.10 Multiple Integrals 5.4 1-25 problem set #7 28.10 Change of variables 5.5 9-28 Tutorial #7 29.10 Line Integrals I 6.1 1-5 solutions #7 8 31.10 Line integrals II 6.1 6-22 problem set #8 01.11 Gradient fields 6.3 1-17 Tutorial #8
05.11 Path independence 6.3 18-25 solutions #8 9
07.11 Green's Theorem I 6.2 1-14 problem set #9
08.11 Green's theorem II 6.2 15-25 solutions of the midterm Tutorial #9
12.11 Parametrized surfaces 7.1 1-11, 14-17 solutions #9 10
14.11 Orientation. Flux 7.2 problem set #10
15.11 Surface integrals I 7.2 7.1: 19-29, 7.2: 1-24 Tutorial #10 19.11 Surface integrals II 7.2 solutions #10 11
21.11 Divergence Theorem 7.3 6-9 problem set #11
22.11 Proof of the Divergence Theorem 7.3 14,16,18 Tutorial #11
26.11 Stoke's Theorem 7.3 1-5,10-13 solutions #11 12
28.11 Gradient and Curl test problem set #12
29.11 Geometry of divergence and curl 7.3 19-28 solutions #12 11.12 Review and office hours 1pm-3pm Jeffrey 408 December Exam FAQ 04.12 Last years final to appear here for review December Exam 2011 13.12 Final Exam 2-5 TBA 08.12 Final Exam 2-5 TBA 14.02 Continuous functions 4.4 18-25 Solutions #5