Math 241 (Vector Calculus) Section 005
Fall, 2013

Lectures in LeConte 112
MWF 12:00 -- 12:50 PM


Professor: Peter J. Nyikos

Prof. Nyikos's Office: LeConte 406.     Phone: 7-5134

Email: nyikos @ math.sc.edu

Office hours for week of December 8-14:
Monday 10:30 - 11:30 and 1:20 - 5:30;
Tuesday 9:00 -12:30 and 1:00 - 4:00
Wednesday 9:00 -12:30 and 1:00 - 4:15
Thursday 9:30 - 1:00 and 1:30 - 5:00
Friday 12:30 - 1:30 and 2:00- 4:30pm  

The final exam for this course is 9am Friday December 13. Information on all final exam times can be found outside of "Self Service Carolina" at this good old fashioned Registrar's website.

The textbook for this course is Calculus: Early Transcendentals by James Stewart, 6th edition.

The course covers the following sections of the textbook:

The third hour test is on Monday, November 25. It covered Chapter 15 except for Sections 15.1, 15.5, and 15.9. Practice problems for the other sections can be found below.

Learning Outcomes: Students will master concepts and solve problems based upon the topics covered in the course, including the following: vectors and basic operations on them, including dot and cross products; vector-valued functions and their integration and differentiation; functions of several variables and their maximization, differentiation and integration; vector fields; line and path integrals; Green's theorem.

The most emphasis will be on Chapters 14 and 15. Incidentally, the material in 13.3 is covered more thoroughly in Math 550 and/or Math 551, while the Chapter 16 material is covered very thoroughly in Math 550.

Only simple calculators (available for $20 or less) are needed for this course, and they will be needed only a small fraction of the time, outside of class. Neither the quizzes, nor the hour tests, nor the final exam will require their use, although they may save some time on a few problems. Programmable calculators are not permitted for quizzes, hour tests, or the final exam.

Further information on policies and grading can be found here in pdf format.

There was a quiz Monday, October 21 on the gradient and directional derivatives of functions.

The first hour test was on Wednesday, October 2. It covered Chapter 12 except for Section 12.6, and Chapter 13.


Practice problems from Chapter 12, not to be handed in:
12.1 numbers 1, 9(b), 11, 15
12.2 numbers 3, 5(a), 13, 15, 19, 21
12.3 numbers 5, 7, cosines in 17

Practice problems from Chapter 13, not to be handed in:
13.1 numbers
13.2 numbers 9, 19, 21
13.3 numbers 1, 3, 7, 17, 21, 25
13.4 numbers 3, 9, 11, 15, 17, 21, 23, 25, 35

Practice problems from Chapter 14, not to be handed in:
14.1 numbers 11, 13, 17, 39, 55-60
14.2 numbers 5, 7, 11
14.3 numbers 15, 17, 21, 25, 35, 51
14.6 numbers 7, 9, 11, 13, 21, 39, 41
Hints on 39 and 41. These are level surfaces F(x, y, z) = 10 and G(x, y, z) = 2 for the functions
F(x, y, z) = 2(x-2)2 + (y-1)2 + (z-3)2 and
G(x, y, z) = x2 - 2y2 + z2 + yz, respectively.
14.4 numbers 1, 3, 11, 13, 19
14.5 numbers 1, 7, 11, 13, 21, 27, 39
14.7 numbers 5, 11, 15

Practice problems from Chapter 15, not to be handed in:
15.2 numbers 3, 5. 13, 15, 25
15.3 numbers 1, 5, 9, 13, 19, 39, 46
15.4 numbers 3, 5, 7, 9, 15, 17   Sketches are important, especially on 15 and 17
15.6 numbers 3, 5, and 7
15.7 numbers 1, 3, 9, 15, 17
15.8 numbers 1, 3, 9, 17, 21

Homework handed in on Friday, August 30:
12.1 numbers 12, 16
12.2 numbers 18, 20

Homework handed in on Wednesday, September 11:
12.3 number 8, the cosine of the angle in number 18, and number 26
12.4 numbers 4, 30, 36

Homework handed in Friday, September 27:
Section 13.2 number 22
Section 13.3 numbers 2, 20, and 44
Section 13.4 numbers 12 and 16

Homework handed in Friday, October 4:
Section 14.1, number 6 (a) (b) (c) Sketch optional on (c)
Section 14.3, numbers 16, 20, 32, and 56

Homework handed in Friday, October 11:
Section 14.6, numbers 12, 16, 24, and 44
Hint on 44. The surface is the level surface
F(x, y, z) = 0 for the function F(x, y, z) = ln(x+z) - yz.

Homework handed in on Wednesday, October 16:
Section 14.4, numbers 4, 12, and 21. Work had to be shown on 21; simply copying the answer from the back gets no partial credit.

Homework handed in on Wednesday, October 23:
Section 14.5, numbers 2, 8, 22, 38

Homework handed in on Wednesday, November 13:
Section 15.2, number 20 [Hint: try both orders of integration if necessary]
Section 15.3, numbers 14, 42
Section 15.4, numbers 8, 20

Homework to be handed in on Wednesday, December 4:
Section 16.2, numbers 9 (show work!) and 20.


The Student Success Center runs a free, drop-in, group tutoring service for 100-level classes. However, these centers are now also offering tutoring for multiple subjects. More information, including schedules, can be found at www.sa.sc.edu/ssc/peertutoring.

New this year is the addition of online tutoring through the Student Success Center. Students can find more information at http://www.sa.sc.edu/ssc/virtual/.


Extra Credit Problems

From time to time, extra credit problems will be assigned in class. Extra credit problems are to be done strictly on your own, except that I am willing to give you advice. You are not to discuss them with anyone else.

There is no due date for extra credit, but once a fully correct solution is handed back, the problem is no longer eligible for extra credit. This is true of any problem crossed out below.

If you can't quite get the solution but have some ideas, hand them in for partial credit. I will keep adding to your score as you improve your work on it.

1. number 28, page 847 [8 points]

2. number 34, page 921 [12 points if answers are justified]

3. number 42, page 908 [8 points]

4. number 32, page 931 [10 points]

5. number 2, page 988 [6 points]

6. center of mass on number 6, page 988 [12 points]

7. number 16, page 989 [12 points]

8. number 16, page 1054 [8 points]

9. number 4, page 1060 [9 points for (a) with each part of the curve done separately; 3 for (b)]

10. number 18, page 1061 [10 points]