# Math 11: Lecture schedule, topics - FALL 2010

Readings are sections in Stewart's Calculus texts.

weekdatereading daily topicshomeworkworksheets
1Sept 22 W13.1-13.2 spheres, vectors Sec 13.1: # 3, 5, 11, 13, 15, 23, 27, 31, 33; Sec 13.2: # 6, 17, 19, 21, 23 sphere3d
24 F13.3-13.4dot 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 M13.5lines and planes Sec 13.5: # 3, 5, 7, 23, 27, 29, 33, 43, 46, 49, 69.
229 W14.1-14.2space 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 F14.3-14.4curvature 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 M15.1-15.2functions 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)
36 W15.3partialsSec 15.3: # 5-8, 17, 19, 20, 21, 25, 29, 39, 51, 55, 57, 70 contourpartials
8 F15.4linear approximations Sec 15.4: # 1, 3, 5, 11, 13, 19, 21
11 M15.5-15.6chain rule Sec 15.5: # 1, 3, 7, 11, 13, 19, 38, 45, 47 (Hint: write u = x-y).
413 W15.6directional deriv. and gradient Sec 15.6: # 5, 9, 11, 21, 25, 38, 47, 41 (follow example on p.953-954) gradient
15 F15.7maxima and minima Sec 15.7: #1, 3, 5, 9, 13, 32, 33
18 M15.8LagrangeSec 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
520 W16.1-2double 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 F16.3general 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 M16.4doubles in polars Sec 16.4: # 1, 5, 9, 11, 13, 15, 19, 25, 28 (see worksheet). polardomains
627 W16.6triple integrals Sec 16.6: # 3, 5, 9, 11, 27, 33 (phew! good practise, though) tripledomains
29 F16.6-7cylindrical 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 M16.7-8spherical Sec 16.8: # 1, 3, 5, 7 (once in Cartesians, complete the square), 11, 15, 17, 25, 27.spherical
73 W16.8-9Jacobeans Sec 16.8: # 29a, 39, 38 [ans: &pi2/4]. (Note 16.9 not tested)
5 F17.1-17.2vector 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 M17.2line integrals of vector fields Sec 17.2: # 19, 21, 39, 45, 46.
Midterm 2: Tuesday, Nov 9, 6-8 pm, Murdough Cook
810 W17.3conservative vector fields Sec 17.3: #3, 7, 11, 13, 19, 21, 23, 28. consfield
12 F17.4Green's theorem Sec 17.4: #1, 3, 5, 7, 13, 19, 21, 27. greens
15 M17.5curl & div Sec 17.5: #1, 5, 7, 9, 11, 12, 13 (you don't need to find f), 19, 25, 31a,c, 33.curldiv
917 W17.6parametric surfaces Sec 17.6: # 1, 3, 5, 13, 19, 23, 25, 33, 41, 47.
19 F17.7surface integrals Sec 17.7: # 5, 9, 11, 17, 19, 21, 23, 25. surfint
22 M17.9Divergence 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 M17.8Stokes' theorem
10Dec 1 WReview
Final Exam: Tues Dec 7, 11:30am-2:30pm (joint math exam slot)