Math 53: Schedule of lectures, homework assignments, and exams

Michael Hutchings, Fall 2008

  Date Topic Homework
1 Aug 27 Introduction; parametric curves
2 Aug 29 Calculus with parametric curves 9.1: 5,7,11,13,15,22,25,27 9.2: 1,3,7,11,13,21,22,39,47
* Sep 1 Labor day, no class  
3 Sep 3 Polar coordinates
4 Sep 5 Areas and lengths in polar coordinates 9.3: 13,17,19,29,33,46,47,51,55 9.4: 3,5,9,23,29,33,35
5 Sep 8 Vectors, dot product 10.1: 9,13,19 10.2: 2,13,17,31,33 10.3: 17,21,38,45
6 Sep 10 Cross product, determinant
7 Sep 12 Lines and planes 10.4: 3,7,9,15,23,29,31,41,45 10.5: 3,5,17,19,21,23,25
8 Sep 15 Cylinders and quadric surfaces 10.5: 27,33,38,43 10.6: 3,5,17,21,23,25,34
9 Sep 17 Vector-valued functions and space curves
10 Sep 19 Functions of several variables 10.7: 3,17-22,23,29,33,35,45,49,57,63 11.1: 13,14,15,16,27,33,41-46,51
11 Sep 22 Limits and continuity 11.2: 1,3,5,7,9,11,13,15,19,21,29
12 Sep 24 Partial derivatives
13 Sep 26 Tangent planes and linear approximations 11.3: 7,9,11,13,29,31,37,39,43,49,71,77 11.4: 1,3,5,11,13,19,25,27,32
14 Sep 29 The chain rule 11.5: 1,3,5,7,11,17,19,23,25,33,41,43
15 Oct 1 Directional derivatives and the gradient vector
16 Oct 3 Maxima and minima 11.6: 1,3,5,7,9,15,17,31,33,37,39
17 Oct 6 More maxima and minima; Lagrange multipliers
18 Oct 8 Midterm #1: in class, covers lectures 1-15
19 Oct 10 More Lagrange multipliers 11.7: 1,2,3,5,7,9,23,25,27,31,35 11.8: 1,3,5,7,16,17,19,21,23,39
20 Oct 13 Double integrals over rectangles 12.1: 3,7,11,13,15,21,23,27,29,37,40
21 Oct 15 Double integrals over general regions
22 Oct 17 Double integrals in polar coordinates 12.2: 3,7,11,15,19,23,31,35,37,43,51 12.3: 1,2,7,11,13
23 Oct 20 Applications of double integrals 12.3:15,17,19,23,25 12.4: 1,3,5,7,9,11,13
24 Oct 22 Triple integrals
25 Oct 24 Triple integrals in cylindrical coordinates 12.5: 3,5,7,9,11,13,17,27,31,33 12.6: 5,6,11,12,15
26 Oct 27 Triple integrals in spherical coordinates 12.6: 17,19,25,27 12.7: 5,7,11,15,17,20,21,31,35
27 Oct 29 Change of variables, Jacobians
28 Oct 31 More change of variables and Jacobians 12.8: 1,3,5,7,9,11,13,15,17,19,21
29 Nov 3 Vector fields 13.1: 5, 11-14, 15-18, 23, 29
30 Nov 5 Line integrals
31 Nov 7 The fundamental theorem of line integrals 13.2: 1,3,5,7,13,15,17,19 13.3: 3,5,7,9,13,15,17,21,31 (due 11/13 because 11/11 is a holiday)
32 Nov 10 Green's theorem I
33 Nov 12 Green's theorem II
34 Nov 14 Midterm #2: in class, covers lectures 1-31, mainly 16-31 13.4: 1,3,7,9,15,17,19,21,27
35 Nov 17 Curl and divergence 13.5: 1,3,5,7,8,9,11,13,15,17,23,25,29
36 Nov 19 Parametric surfaces
37 Nov 21 More parametric surfaces; surface integrals 13.6: 1,3,11-14,15,17,19,29,33,35,37
38 Nov 24 More surface integrals 13.7: 5,7,9,19,21,23,25,27,37 (due 12/2 because 11/27 is a holiday)
39 Nov 26 Stokes' theorem I
* Nov 28 day after Thanksgiving, no class  
40 Dec 1 Stokes' theorem II 13.8: 1,3,5,7,11,12,13,14,15
41 Dec 3 Divergence theorem I
42 Dec 5 Divergence theorem II 13.9: 1,3,5,7,9,17,18,19,24,25,27
43 Dec 8 Review I Memorize chart on p. 795
43 Dec 10 Review II
44 Dec 13 Final exam, 12:30-3:30, location TBA covers entire course