Week 1 (Aug. 26,28) Introduction. Vectors. Dot-product.
Read: 12.1-12.3
Solve (due 09.03): 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 09.10): 12.4(2,7,20,31,33,38)
12.5(5,7,12,19,27,34.43,51)
Week 3 (Sep. 9,11) Quadratic functions and curves.
Read: 12.6, 10.5
Solve (due 09.17): 10.5(16,25,26,27,34)
Week 4: Quadratic surfaces. Vector-valued functions.
Read: 12.6, 13.1, 13.2, 13.3 (arc length)
Solve (due 09.24): 12.6(6,8,21-28), 13.1(21-26,48) 13.2(23,45)
13.3(3,11,13)
Week 5: Scalar-valued functions of several variables.
Midterm I (Ch. 12, Sect. 13.1-13.3,
Sect. 10.5),
Friday, Sep. 25
Read: 14.1, 14,2, 14.4
Solve (due 10.01):
14.1(51,52,59-64) 14.2(10,16,36) 14.4(17,35,45,46)
Week 6: Taylor's formula. The chain rule. Implicit
differentiation.
Read: 14.3, 14.4, 14.5
Solve (due 10.8): 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 10.15):
14.6(20,21,29,41,45,56), 14.7(9,12,15,29,30,50,55)
Week 8: Constrained extrema (Lagrange multipliers)
Read: 14.8
Solve (due 10.22): 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 10.29):
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
Read: 15.4, 15.5, 15.7-15.9
Solve (due 11.05): 15.4(7,11,22,41) 15.5(13,14,15,19)
15.8(15,16,29,30) 15.9(17,18,39,40)
Week 11: Vector fields. Line integrals. /
Midterm II (Ch. 14),
Friday, Nov. 6 ( Solutions )
Read: 16.1-16.3
Solve (due 11.12): 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 (Nov. 9,13): Green's Theorem.
Read: 16.4, 16.5
Solve (due 11.19): 16.4(2,4,12,21,22,24,27)
16.5(4,5,9-11,15,27,29,30,32,37)
Week 13: Curl and divergence. Surface integrals
Read: 16.6, 16.7
Solve (due Tu, 11.24):
16.6(3-6,13-18,35,48) 16.7(8,20)
Week 14 (Nov. 23): Orientation and flux.
Read: 16.7
Solve (due Th 12.03): 16.7(23,37,39,46)
Week 15: Stokes and Gauss.
Read: 16.8, 16.9
Solve (due 12.10): 16.8(2,6,13,15,18,19)
16.9(4,6,13,23,26,28,31)
The RRR-week (Dec. 7-11): All Mysteries RRRevealed!
FINAL EXAM is on Tue, Dec. 15, 7-10 pm in 105 Stanley Hall. Good luck!
... and here are the solutions!