Math 13
Multivariable Calculus
Winter 2015

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Syllabus and homework assignments

 wk date reading topic homework 1 1/5 Ch 15.1 Double Integrals 15.1: 1b, 5a, 11, 13. 1/7 Ch 15.2 Iterated Integrals 15.2: 3, 9, 15, 21, 25, 31, 35. 1/9 Ch 15.3 General regions 15.3: 1, 3, 5, 7, 9, 13, 15, 17, 19. Solutions to Problem set #1. 2 1/12 Ch 15.3 Solids 15.3: 23, 25, 27, 31, 49, 51. 1/14 Ch 15.4 Polar coordinates 15.4: 1-4, 7, 11, 15, 19, 23, 25. 1/16 Ch 15.5 Center of mass 15.5: 1, 3, 5, 13. Solutions to Problem set #2. 3 1/19(x) Ch 15.6 Surface area 15.6: 1, 5, 7, 9. 1/21 Ch 15.7 Triple integrals 15.7: 3, 5, 9, 13, 17, 21. 1/23 Ch 15.7 Reversing order 15.7: 29, 33, 35, 37 Solutions to Problem set #3. 4 1/26 Exam review 1/28 Ch 15.8 Cylindrical coord 15.8: 1, 3, 5, 7, 9, 11, 19, 21, 29. Ch 15.9 Spherical coord 15.9: 1, 3, 5, 9, 13, 19, 20, 21, 25. 1/30 Ch 15.10 Change of vars 15.10: 1, 3, 7, 9, 15, 17, 19 Solutions to Problem set #4. 5 2/2 Ch 16.1 Vector fields 16.1: 5; 11-14; 15-18; 29-32. 2/4 Ch 16.2 Line integrals 16.2: 1, 3, 5, 11. 2/6(x) Ch 16.2 Line int of vector fields 16.2: 15, 17, 18, 19, 21, 39. Solutions to Problem set #5. 6 2/9 Ch 16.3 Path-independence 16.3: 1, 3, 9, 13, 15, 19, 25. 2/11 Ch 16.4 Green's theorem 16.4: 3, 7, 9, 11, 13, 19, 27. 2/13 Ch 16.5 Grad, Div, Curl 16.5: 1, 3, 9, 13, 15, 19. Solutions to Problem set #6. 7 2/16 Exam review 2/18 Ch 16.6 Parametrized surfaces 16.6: 1, 13, 33, 35. 2/20 Ch 16.6 Surface area 16.6: 19, 21, 23, 39, 41, 45. Solutions to Problem set #7. 8 2/23 Ch 16.7 Surface integrals 16.7: 7, 11, 13, 15. 2/25 Ch 16.7 Flux 16.7: 23, 25, 27, 29, 31. 2/27 Ch 16.8 Stokes' theorem 16.8: 1, 3, 5, 7, 9. Solutions to Problem set #8. 9 3/2 Ch 16.9 Divergence Thm 16.9: 5, 7, 11. 3/4 Ch 16.10 Overview 3/6 10 3/9 Exam review