| The homework will be posted here a week or more in advance. You are encouraged to work in groups on the homework, but the final write-up should be your own. NO late assignments will be accepted without a serious documented reason. Should this happen, you need to contact me before the homework is due.
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| • Occasionally there may be be extra credit problems, for those of you wishing to practice more in depth your problem solving skills. Your grade on these problems will not be taken into consideration when determining the final grade. It may however be taken into consideration in the rare eventuality that you are close to the borderline between two grades, when it may improve your grade.
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- Homework 1: Due Friday, January 23
- • Sec. 1.1: 6, 7, 12, 24
- • Sec. 1.2: 4, 14, 16, 30, 34
- • Sec. 1.3: 6, 8, 10, 13, 20
- • Extra credit (due Tuesday, January 26): 1.3: #27
- Homework 2: Due Friday, January 30
- • Sec. 1.4: 6, 9, 16, 17, 25
- • Sec. 1.5: 3, 6, 9, 19, 24, 33
- • Sec. 1.6: 11, 16, 18 (Hint for #11: Express the squares of the lengths of a+b and a-b in terms of the dot product.)
- Homework 3: Due Friday, February 6
- • Sec. 1.7: 8, 10, 14, 18, 22, 24, 26, 32, 34
- • Sec. 2.1: 4, 14, 18, 34, 36, 40, 42
- Homework 4: Due Friday, February 13
- • Sec. 2.2: 10, 14, 16, 23, 28, 30
- • Sec. 2.3: 4, 6, 8, 9, 14, 16, 22, 25, 30
- • Sec. 2.4: 9, 20
- Homework 5: Due Friday, February 27
- • Sec. 2.5: 4, 7, 10, 19, 29
- • Sec. 2.6: 3, 12, 16, 20, 22, 32, 34
- Homework 6: Due Friday, March 13
- • Sec. 3.1: 9, 16, 23(Hint: express the initial velocity vector in terms of θ and find the distance to touchdown in terms of it), 25, 26
- • Sec. 3.2: 2, 7, 13 (for #13: find only the curvature and unit tangent vector; to find the curvature, use the formula in the reading guide below)
- • Sec. 3.3: 3, 18, 20, 24
- • Sec. 3.4: 3, 9, 14, 15, 28 b), c)
- • Chapter 3 reading guide and concepts review.
- Homework 7: Due Friday, March 20
- • Sec. 4.1: 9, 10, 22, 28 (For #28: in the total differential of f, which of dx, dy, dz has the largest coefficient?)
- • Sec. 4.2: 12, 18, 22 a), 30, 32, 36 (For #22: a nondegenerate critical point is one where the Hessian is nonzero, so the second derivative test is conclusive; for #18: see example 5;)
- • Sec. 4.3: 6, 18, 19, 20 (For #19: find the critical points inside, and use Lagrange multipliers to find the critical points on the boundary; for #20: the largest present is assumed to have the largest volume).
- Homework 8: Due Friday, April 3
- • Sec. 5.1: 4, 8
- • Sec. 5.2: 2, 8, 12, 14, 22 (for #14: you will need two double integrals for this region)
- • Sec. 5.3: 4, 6, 12, 14
- • Sec. 5.4: 6, 14, 15, 16
- Homework 9: Due Wednesday, April 8
- • Sec. 5.5: 11, 16, 23, 25, 26, 28, 30
- Homework 10: Due Friday, April 17
- • Sec. 6.1: 2, 12, 16, 25 (For #25 a): Use formula (3) for the work; b): the gravitational force is pointing down)
- • Sec. 6.2: 5, 11, 13, 21, 24 (For #13: Use formula (1) )
- • Sec. 6.3: 4, 10, 14, 18, 25 (For #25: Find the potential function)
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