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Math 252 (Calculus III) Written Homework Problems

(Also see Homework Guidelines and Practice Problems)

Multivariable Calculus by James Stewart, 5th edition (2003)
(Problems with * have hints in the CD under TEC "Tools for Enriching Calculus")

Here is the revised list of homework for Chapter 17, abbreviating the ones below somewhat due to the irrevocably lost time the last week of October.

Chapter 17 Problems

due Monday, December 15 as you come into the room for the Final Exam, worth 20 points; I will pick 7 to grade:

17.1 - #2, 6, 11, 12, 13, 14*, 15, 16, 17, 18*, 23*, 26, 34a
17.2 - #2, 7*, 10, 18, 20, 26a, 37*
17.3 - #2, 4, 7, 10, 11*, 14, 20, 27*, 28, 32
17.4 - #2, 7, 8, 14, 18, 19

The answers to these problems have been posted.

Homework Hints

Don’t allow yourself to get easily discouraged. Math at this level takes persistence, and steady effort is worth more than sporadic bursts. Getting half or two-thirds of the homework problems is quite decent. See "grading structure" in the syllabus.

Use any of these sources of help:

Math Department tutoring
MESA Engineering Program tutoring
the "Tools for Enriching Calculus" on the CD that came with the text book
online tutoring mentioned in the syllabus is found at www.StewartCalculus.com
my office hours:

Monday & Wednesday 9:25 AM - 9:50 AM
Tuesday & Thursday 12 noon - 1:30 PM or to 2 PM if a student is there
Friday 2 PM - 3 PM
and maybe an extra hour or two as the course winds down, TBA

Be sure to use standard notation and observe all guidelines.

NO LATE PAPERS

NO COLLABORATION

Previous Homework Assignments:

Chapter 13 Problems

These were due Monday, September 22, worth 20 points; I chose 10 to grade:

13.1 - #10, 12, 18, 30, 41*
13.2 - #4, 18, 24, 28, 30, 43*
13.3 - #1, 2, 8, 10, 11*, 17, 23, 40, 46, 51*
13.4 - #2, 9*, 10, 12*, 16, 26, 33, 36, 39*, 40b, 45*
13.5 - #1, 2, 8, 10, 12, 16, 20, 30, 32, 34, 40, 44, 48, 52, 54, 66, 68
13.6 - #1, 4, 8, 9*, 11, 18, 30, 34, 44
13.7 - #4, 10, 16, 20, 24, 28, 32, 35*, 37, 43, 44, 52, 60

The answers to these problems have been posted.

Chapter 14 Problems

These were due Monday, October 6, worth 20 points; I chose 5 to grade:

14.1 - #6, 9, 11*, 16, 25*, 34, 39
14.2 - #3, 10, 12, 20, 21, 26, 29*, 34, 38, 47
14.3 - #2, 6, 9, 14, 18, 24, 26, 47*
14.4 - #6, 10, 16, 22*, 23, 28, 34, 38

The answers to these problems have been posted.

Anyone interested in doing #3, 4 in the Kepler Applied Project, see me; I will do #1, 2 of the Kepler Project in class, i.e., use Stewart’s ideas to prove Kepler’s Second and Third laws.

Chapter 15 Problems

due Tuesday, November 4, worth 20 points; I will pick 10 to grade:

15.1 - #2, 6, 20, 25, 29, 30*, 32, 53-58 (55, 57 are *)
15.2 - #4, 7*, 14, 28, 32, 37*, 40
15.3 - #4, 5*, 6, 14, 16, 24, 28, 36, 51, 56, 58, 68ad, 83*
15.4 - #3, 12, 17, 20, 24, 36
15.5 - #4, 6, 8, 18, 24, 30, 32*, 42, 43*
15.6 - #6, 9, 15, 23*, 33*, 36, 39, 52, 59
15.7 - #3*, 10, 11, 13*, 28, 37 (Find the point on the plane that minimizes the distance also. Do as for Example 5, not by the formula in Section 13.5), 46
15.8 - #4, 6, 9, 18, 23*, 25, 31, 34

The answers to these problems have been posted.

Anyone interested in doing either the Applied Project on Rocket Science or the one on Hydro-Turbines, see me.

Chapter 16 Problems

due Monday, December 1, worth 20 points; I will pick 10 to grade:

16.1 - #6, 12, 18
16.2 - #4, 11, 14, 22, 24, 29
16.3 - #4, 10, 16, 24, 39, 47, 52
16.4 - #3, 4, 8, 10, 13*, 18, 22, 29, 36acd
16.5 - #4
16.6 - #4, 10, 14, 22
16.7 - #6, 8, 16, 18, 26, 31, 47*
16.8 - #4, 6, 8, 9, 18, 19, 24*, 34, 36
16.9 - #2*, 10, 12, 14, 19

The answers to these problems have been posted.

Anyone interested in doing #1, 2, 3 of the Discovery Project on hyperspheres, see me; it can be done after 16.7.

Last updated:
December 19, 2003

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