Answers to practice final exam (solutions not yet posted)
[Homework 13, due Tuesday, Dec. 9]
16.1 No. 5, 13, 23, 25,
16.2 No. 11, 13, 21, 29, 33, 45
16.3 No. 1,2,3,4,7,8,9, 17, 33, 34, 37, 38
16.4 No. 4, 17, 29, 33
--- exam 3: November 24 ---
Exam 3:
1 constrained optimization (Lagrange multiplier) problem,
3 involving multiple integrals (polar and cartesian)
[Homework 12, due Wed, Nov 26]
15.6 No. 11, 12, 13, 14, 31, 32, 39, 40
15.7 No. 1,2, 9, 11, 20, 21
(for the definition of first moments look at p. 1084).
[Review for exam on Mon, Nov 24]
extrema with constraints: sec. 14.8 (e.g. 10,15,19,25,26,29).
Mainly practice integrals. Do practice exercises on page 1138-40
(strongly recommended) and look at volumes on page 1140
(in "additional exercises").
[Homework 11, due Tue Nov 18]
Section 15.3:No. 6, 8, 10, 18, 22, 24, 28, 30, 34, 36, 40, 42
Section 15.4:No. 8, 16, 22, 24, 26, 32, 42, 44
Section 15.5: No. 18
[Homework 10, due Tue Nov 11]
Section 15.1: 18, 20, 22, 24, 26, 28, 32, 34, 36, 40, 44, 46, 48, 59
Section 15.2: 2, 6, 8, 16, 34
[Extra credit: section 15.2: No. 49, 51, 52.]
solutions
[Homework 9, due Tue Nov 4]
Section 14.8: 17,18,26,27,42,43
Section 15.1: 2,4,6,8,12,15
solutions
--- exam 2: October 27 ---
[extra credit due Wed Oct 29]
Page 1064: Problems No.3.4.5.
solutions
[Homework 8, due Tue Oct 28 *before* the exam]
Section 14.4. No. 26, 28.
Section 14.7. No. 2, 6, 18, 43, 44, 54
Page 1060 No. 36, 38, 96, 97, 98, 102
Solutions to corrected problems in HW 5-7
[Homework 7, due Tue Oct 21]
+ Section 14.3: 76,77
+ Section 14.5: 2,6,14,16,18,20,24,28,29,30,31,32,36
+ Section 14.6: 10,12,14,18,20,22,32,34,36,38,40,62,63
[Homework 6, due Tue Oct 14]
+ Section 14.3: 28,33,34,43,44,52,54,57,58,67,70,75.
[Read 75 as w= f(a(x+ct)) where f is differentiable twice.]
+ Section 14.6. No. 6,7,8.
[Homework 5, due Tue Oct 7, checked for completeness]
+ Section 14.1 No. 2,4,6, 8, 10, 12.
(Domain here means maximal domain)
20, 22, 28, 30, 32,
34, 38, 45, 46.
+ Section 14.2: Problems 36, 38, 40, 42
* Possible extra credit (more challenging)
** Prove the sandwich theorem on p. 983,
directly from the limit definition on p. 976
Apply it to problems 46, 48
** Prove (parts of) Theorem 1 on p. 977,
again using the limit definition.
Assigned reading from Mon Sep 29
+ read section 14.1: basic info on functions of several variables
+ read section 14.2: limits
+ read section 14.3: partial derivatives
[Homework 4, due Tue Sep. 30]
+ Taylor exercises (i–v)
+ Section 14.3 problems 2,4,6,8,10
--- exam 1: Septmber 24 ---
[Homework 3, due Mon Sep. 22]
+ Wed Sep 17 handout: problem number 1. Solutions.
[Homework 2, due Tue Sep. 16]
+ To be checked:
* 12.5. Lines and Planes in Space
Problems (p. 889): 63, 64, 65, 66, 67, 69.
* Ch. 12 Practice Exercises (p. 900): 18,22,24,32,36,42,43,49,52,61,62.
* Ch. 12 Advanced Exercises (p. 903): 7, 10, 11.
* 13.4 Curvature and the unit normal vector
Problems P.942: 1,3,5,7,9,11.
* 13.5 Torsion and the unit binormal vector
Problems P.949: 1,3,9,11,13,17,19.
+ To write up and hand in at the beginning of class:
* Section 13.5 (p. 949) numbers 1,11. Solutions.
[Homework 1, due Tue Sep. 9]
* 13.1. Vector functions and space curves, velocity and acceleration
Problems P.916: 3,5,9,11,13,17,19,23,29, 31,33,35,37,45.
* 13.2 (P.927): 3, 13.
* 13.3 Arclength and the unit tangent vector
Problems P.935: 1,5,9,11,17a-d.
[assigned Tue Sep. 9]
* Your first assignment is to introduce yourself to me (sometime
other than in discussion section)! I would like to talk with
each of you for five or ten minutes and learn a little about
you. I will be in my office (Van Vleck 816) most of the
time between 7am and 8pm. If I'm not there, write a note on
my door (or slide a note under the door) and it's then my
responsibility to catch you!