week | date | reading | daily topics | homework | worksheets |
---|---|---|---|---|---|
1 | Sept 22 W | 13.1-13.2 | spheres, vectors | Sec 13.1: # 3, 5, 11, 13, 15, 23, 27, 31, 33; Sec 13.2: # 6, 17, 19, 21, 23 | sphere3d |
24 F | 13.3-13.4 | dot and cross products | Sec 13.3: # 1, 7, 9, 14, 15, 21, 23, 39, 41, 45; Sec 13.4: # 3, 13, 15, 19, 33, 37. | ||
27 M | 13.5 | lines and planes | Sec 13.5: # 3, 5, 7, 23, 27, 29, 33, 43, 46, 49, 69. | ||
2 | 29 W | 14.1-14.2 | space curves | Sec 14.1: # 19-24, 25; Sec 14.2: # 9-25 (odds), 47, 49 (hint: no vector chain rule is needed) | vecfunc |
Oct 1 F | 14.3-14.4 | curvature and kinematics | Sec 14.3: # 3, 5 (also find s(t)), 15, 17, 19, 25, 33; Sec 14.4: # 3, 11, 15, 22, 23 (see example 5). | curvature | |
4 M | 15.1-15.2 | functions of two variables | Sec 15.1: # 17, 23, 25, 31, 39, 45, 47, 55-60; Sec 15.2: # 7, 9, 12, 13, 14, 29, 37, 38, 39 (Note: if you think that a limit exists, you should prove that it exists) | ||
3 | 6 W | 15.3 | partials | Sec 15.3: # 5-8, 17, 19, 20, 21, 25, 29, 39, 51, 55, 57, 70 | contourpartials |
8 F | 15.4 | linear approximations | Sec 15.4: # 1, 3, 5, 11, 13, 19, 21 | ||
11 M | 15.5-15.6 | chain rule | Sec 15.5: # 1, 3, 7, 11, 13, 19, 38, 45, 47 (Hint: write u = x-y). | ||
4 | 13 W | 15.6 | directional deriv. and gradient | Sec 15.6: # 5, 9, 11, 21, 25, 38, 47, 41 (follow example on p.953-954) | gradient |
15 F | 15.7 | maxima and minima | Sec 15.7: #1, 3, 5, 9, 13, 32, 33 | ||
18 M | 15.8 | Lagrange | Sec 15.8: # 1 (also find all local extrema), 5, 7, 9, 11, 19, 25, 31, 39, 21 (sketching the curve will help) | lagrange | |
Midterm 1: Tuesday, Oct 19, 6-8 pm, Murdough Cook | |||||
5 | 20 W | 16.1-2 | double integrals, rectangles | Sec 16.1: # 9 (midpoint rule just means pick center of each box), 11, 13, 18; Sec 16.2: # 3, 9, 17 (consider which variable to do first), 19 (ditto), 25, 29. | rectangle |
22 F | 16.3 | general planar domains | Sec 16.3: # 1, 7, 11 (note f rather than D suggests a preferred variable to integrate first), 13, 17 (could you have predicted this by symmetry?), 25, 55. | 2Ddomain | |
25 M | 16.4 | doubles in polars | Sec 16.4: # 1, 5, 9, 11, 13, 15, 19, 25, 28 (see worksheet). | polardomains | |
6 | 27 W | 16.6 | triple integrals | Sec 16.6: # 3, 5, 9, 11, 27, 33 (phew! good practise, though) | tripledomains |
29 F | 16.6-7 | cylindrical | Sec 16.7: # 7, 9, 11, 15, 19, 23a (review of Sec 16.4), 27 (save yourself effort and separate as soon as you can!) | ||
Nov 1 M | 16.7-8 | spherical | Sec 16.8: # 1, 3, 5, 7 (once in Cartesians, complete the square), 11, 15, 17, 25, 27. | spherical | |
7 | 3 W | 16.8-9 | Jacobeans | Sec 16.8: # 29a, 39, 38 [ans: &pi^{2}/4]. (Note 16.9 not tested) | |
5 F | 17.1-17.2 | vector fields, scalar line integrals | Sec 17.1: # 6 (check with an applet), 11-14, 25. Sec 17.2: # 1, 3, 11, 5, 7, 17. | lineint | |
8 M | 17.2 | line integrals of vector fields | Sec 17.2: # 19, 21, 39, 45, 46. | ||
Midterm 2: Tuesday, Nov 9, 6-8 pm, Murdough Cook | |||||
8 | 10 W | 17.3 | conservative vector fields | Sec 17.3: #3, 7, 11, 13, 19, 21, 23, 28. | consfield |
12 F | 17.4 | Green's theorem | Sec 17.4: #1, 3, 5, 7, 13, 19, 21, 27. | greens | |
15 M | 17.5 | curl & div | Sec 17.5: #1, 5, 7, 9, 11, 12, 13 (you don't need to find f), 19, 25, 31a,c, 33. | curldiv | |
9 | 17 W | 17.6 | parametric surfaces | Sec 17.6: # 1, 3, 5, 13, 19, 23, 25, 33, 41, 47. | |
19 F | 17.7 | surface integrals | Sec 17.7: # 5, 9, 11, 17, 19, 21, 23, 25. | surfint | |
22 M | 17.9 | Divergence theorem | Sec 17.9: # 1, 3, 5, 11, 17 (important one), 23, 27, 29 (actually these last two are easier than they look). | ||
24 W - 28 Su: --------- Thanksgiving recess --------- | |||||
29 M | 17.8 | Stokes' theorem | |||
10 | Dec 1 W | Review | |||
Final Exam: Tues Dec 7, 11:30am-2:30pm (joint math exam slot) |