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Schedule of Lectures: Fall 2014
Week
Date Topic Section Exercises Homework and Tutorials
08.09 Introduction: flux density Introductory notes 1 10.09 Double Integrals 15.1 1-5 Problems will be added monday 11.09 Iterated Integrals 15.2 15.1, 6,9; 15.2, 1-5,15,16,23 problem set #1 15.09 Iterated Double Integrals general regions 15.3 15.3, 1-5,15,16,21,25 solutions #1 2 17.09 General Region examples, Polar Coordinates 15.3,15.4 15.3, 35,37,57. 15.4, 1,4-7. problem set #2
18.09 Applications. surface area 15.5, 15.6 15.5, 1-3, 5,11,27. 15.6, 1-5,11,12 Tutorial #2 22.09 Triple Integrals 15.7 9-13 solutions #2 3 24.09 Triple integrals in cylindrical 15.8 1,3,5,6,7,8,17,18,21 problem set #3 25.09 Spherical Coordinates. Examples 15.9 1-8 Tutorial #3 29.09 Integration in spherical coordinates. vector fields and flow lines. 15.9, 16.1 15.9: 15, 17,18,23,24,25. 16.1: 11,12,13,14,19,26,34,35 solutions #3 4 01.10 Vector functions and space curves. Velocity, speed, unit tangent vectors. 13.1, 13.2 problem set #4 02.10 Curvature and arclength 13.3 11,12,13,14,21,24 Tutorial #4 06.10 Gradient fields 16.1, 16.2 solutions #4 5 08.10 Line Integrals I 16.2 16.2:9-16 problem set #5 09.10 Line integrals II, Fundamental theorem for conservative fields. 16.2, 16.3 16.2:17-22, 16.3: 1-5, 12-15,17-20 Tutorial #5 13.10 Thanksgiving 16.3 7-12, 14-30 solutions #5 6 15.10 Path independence and circulation of vector fields 16.3 problem set #6 16.10 Magnetic fields and circulation, conservation of energy 16.3 2-9,11-16,21-28 Tutorial #6 20.10 Planar vector fields and construction of potential functions 16.4 1-18 solutions #6 Midterm Exam 7-8:30 Jeffrey 234 Previous midterm exam 7 22.10 Green's Theorem 16.4 21-25 problem set #7 23.10 27.10 Curl zero implies conservative field for planar simply connected domain 16.4 9-28 Midterm solutions 29.10 Curl and divergence. 16.5 1-5 solutions #7 8 30.10 Coordinate and coordinate free description curl and div 16.5 6-22 problem set #8 03.11 Curl in 3D, gradient fields and curl test 16.5 30-33 Tutorial #8
05.11 Parametric surfaces 16.6 1-6 solutions #8 9
06.11 Surface area of parametric surfaces 16.6 19-25. 39-44 problem set #9
08.11 Area and flux of vector fields across surfaces 16.6 33-36. 58 Tutorial #9
12.11 Parametrized surfaces 16.6 1-11, 14-17 solutions #9 10
13.11 Orientation. Flux 16.7 problem set #10
15.11 Flux and divergence 16.7 7.1: 19-29, 7.2: 1-24 Tutorial #10 19.11 Divergence theorem 16.9 solutions #10 11
20.11 Divergence Theorem. Coordinate free description of divergence 16.9 6-9 problem set #11
21.11 Proof of the Divergence Theorem 16.9 14,16,18 Tutorial #11
25.11 Stoke's Theorem 16.8 1-5,10-13 solutions #11 12
26.11 Stokes Theorem II 16.8 problem set #12
28.11 Geometry of divergence and curl 16.10 19-28 solutions #12 05.12 NEW**Review I** 2pm-4pm Jeffrey 234 December Exam FAQ 05.12 Last years final to appear here for review December Exam 2012 08.12 Final Exam 2-5 TBA 08.12 Final Exam 2-5 TBA 14.02 Continuous functions 4.4 18-25 Solutions #5