# Vector Analysis MTHE 227, Fall 2017

 Home Schedule and Homework

## Schedule of Lectures: Fall 2017

 Week Date Topic Section Exercises Homework 11.09 Introduction to the course 13.1 7-14, 21-26 1 12.09 Parametrized curves. I 13.2 17-20, 23-26 14.09 Parametrized curves. II 13.3 17-23, 57, 63 Assignment 1 18.09 Velocity and acceleration 13.4 3-8, 20, 27 Solutions 1 2 19.09 Vector fields 16.1 21-24, 29-32, 35 21.09 Divergence 16.5 3-7, 12, 14-17 Assignment 2 25.09 Curl 16.5 2-6, 19, 21, 31 Solutions 2 3 26.09 What is Vector Analysis? 16.5 27, 29, 39 28.09 Parametrized surfaces 16.6 3, 13, 23, 39 Assignment 3 02.10 Double integrals. Definition 15.1 3, 5, 6 Solutions 3 4 03.10 Double integrals. Properties 15.1 9, 10, 11, 12 05.10 Fibini's theorem 15.1 23, 33, 41 Assignment 4 09.10 Thanksgiving Solutions 4 5 10.10 Change of order of integration 15.2 9, 27, 45, 55, 65 12.10 Applications of double integrals. Triple integrals 15.4 15.6 15.4: 1, 5, 13, 27 15.6: 11, 23, 35 Assignment 5 16.10 Polar coordinates 15.3 7, 13, 15, 35 Solutions 5 6 17.10 Cylindrical coordinates 15.7 9, 17, 21, 25 19.10 Spherical coordinates 15.8 7, 17, 21, 30 Assignment 6 23.10 Change of variables 15.9 7, 13, 21 Solutions 6 25.10 Review session 18:30 - 20:00 Jeff 126 7 24.10 Line integral. I 16.2 3, 7, 11 25.10 Midterm exam 19:00 - 20:30 Jeff 127 26.10 Line integral. II 16.2 17, 21, 39 Assignment 7 30.10 Gradient fields. I 16.3 7, 11, 13, 15 Solutions 7 8 31.10 Gradient fields. II 16.3 17, 21, 31, 35 02.11 Green's theorem. I 16.4 3, 15, 17, 19 Assignment 8 06.11 Green's theorem. II 16.4 21, 23, 25, 29 Solutions 8 9 07.11 Flux integral. I 16.7 5, 15, 19 09.11 Flux integral. II 16.7 25, 37, 45 Assignment 9 13.11 Surface area 16.6 37, 47, 57 Solutions 9 10 14.11 Divergence theorem. I 16.9 1, 7, 9 16.11 Divergence theorem. II 16.9 11, 13, 17 Assignment 10 20.11 Divergence revisited 16.9 19, 23, 25 Solutions 10 11 21.11 Stokes' theorem. I 16.8 1, 3, 5 23.11 Stokes' theorem. II 16.8 2, 4, 6, 8 Assignment 11 27.11 Curl revisited 16.8 7, 9, 13 Solutions 11 12 28.11 Vector potentials 16.8 15, 15, 19 30.11 Maxwell's equations Solutions of the Midterm 04.12 Review I 3 - 5 Stirling 401 07.12 Review II 3 - 5 Stirling 401 08.12 Final Exam 19:00 - 22:00