Week 1 (Th, Aug. 28) Introduction. Vectors. Dot-product.
Read: 12.1-12.3
Solve (due 09.06): 12.2(3,8,29,38,39,44,46,51), 12.3(1,12,26,29,
50,62, 63,64)
Week 2: Cross-product. Applications
Read: 12.4-12.5
Solve (due 09.13): 12.4(2,7,20,31,33,38)
12.5(5,7,12,19,27,34.43,51)
Week 3: Quadratic functions, curves, surfaces.
Read: 12.6, 10.5
Solve (due 09.20): 10.5(16,25,26,27,34) 12.6(6,8,21-28)
Week 4: Vector functions.
Read: 13.1, 13.2, 13.3 (arc length)
Solve (due 09.27): 13.1(21-26,48) 13.2(23,45) 13.3(3,11,13)
Week 5: Scalar functions of several variables.
Midterm I (Ch. 12, Sect. 10.5), Tue, Sep. 24 Week 6: The chain rule.
Read: 14.3, 14.5
Solve (due 10.11): 14.3(67,69,80,95,101abcde) 14.5(7,13,24,28,34,53,55,58)
Week 7: Gradient. Maximum and minimum values
Read: 14.6-14.7
Solve (due 10.18):
14.6(20,21,29,41,45,56), 14.7(9,12,15,29,30,50,55)
Week 8: Constraint extrema (Lagrange multipliers)
Read: 14.8
Solve (due 10.25): 14.8(7,11,19,25,26,38,41,45)
Week 9: Multiple integrals
Read: 15.1-15.3,15.7,15.10
Solve (due 11.01):
15.2(7,17,27) 15.3(9,15,29,32,,43,52) 15.7(33-36) 15.10(5,9,24)
Week 10: Change of variables. Applications /
Midterm II (Ch. 13,14), Tuesday, Oct. 29 Week 11: Vector fields. Line integrals.
Read: 16.1-16.3
Solve (due 11.15): 16.1(6,11-14,26,29-32) 16.2(3,14,22,27,37,39)
16.3(6,16,23,29,31-34)
Week 12: Green's Theorem. Curl and divergence.
Read: 16.4, 16.5
Solve (due 11.22): 16.4(2,4,12,21,22,24,27)
16.5(4,5,9-11,15,27,29,30,32,37)
Week 13: Surface integrals
Read: 16.6, 16.7
Solve (due Wed, 11.27):
16.6(3-6,13-18,35,48) 16.7(8,20,23,37,39,46)
Weeks 14-15 Stokes' and Gauss' Theorems
(11.28, Th=Thanksgiving)
Read: 16.8, 16.9
Solve (due 12.11): 16.8(2,6,13,15,18,19)
16.9(4,6,13,23,26,28,31)
Dec. 9-13: RRR week