Professor: Peter J. Nyikos

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

Email: nyikos @ math.sc.edu

Office hours until further notice : 10:35 - 11:35 and 2:00 -3:30 MWF; 2:00 - 3:30 TTh. Also you may see me any time I am in, or by appointment.
Exceptions will be announced in advance if possible and posted on my office door.

** There will be additional office hours on Thursday and Saturday mornings,
December 1 and 3. Thursday: 10 - 12, Saturday 9:30 -12:00 **

There was a quiz on Monday, August 29, on Section 12.1 and the portion of 12.2 covered in class by Wednesday, August 24.

There was a quiz on Friday, September 9 on Sections 12.3 and 12.4.

The third quiz was on Friday, September 9 on Section 12.5.

The fourth quiz was on Wednesday, October 19 on Section 14.5.

The fifth quiz was on Monday, October 24 on Section 15.1.

The sixth quiz will be on Friday, November 4 on Sections 15.2 and 15.3.

The seventh quiz was on Monday, November 7 on Section 15.4.

The first hour test was on Friday, September 30. It covered:

12.1 through 12.5

13.1 through 13.4

14.1

The second hour test was on Monday, October 31. It covered: 14.2, 14.3, 14.5, 14.6, 14.7 (local extrema and saddle points only) and 15.1

** The third hour test was on Monday, November 21. It covered
Sections 15.1 through 15.5, and Section 15.7.**

The textbook for this course is *Thomas's Calculus: Early Transcendentals *
by Thomas, Weir, and Hass, 13th edition. ** Contrary to what is on the
bookstore webpage for this course, you do not need
any website access package for my sections.**

There is a multivariable version containing only those parts of the text which are needed for this course. I haven't seen them in the Barnes and Noble bookstore, but they can be ordered online at e.g., Amazon.com

** Caution.** The university bookstore is selling a version of the textbook that is tailor-made for the University of South Carolina by omitting some sections that the calculus sequence here does not cover. The advantage is that the cost of ** buying ** the textbook is much less than if you buy online [except for used textbooks.] The downsides are:

- you cannot expect to get much if you sell it anywhere except the University of South Carolina when you are done with it; and
- you can
**rent**the textbook very cheaply from Amazon.com if you don't intend on keeping it, whereas there doesn't seem to be a way to rent the tailor-made edition.

- 12.1 through 12.5
- 13.1 through 13.4 [and parts of 13.5 if time permits]
- 14.1 through 14.7 [and parts of 14.8 if time permits]
- 15.1 through 15.7
- 16.1 through 16.4

** 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. The material in Chapter 13 is covered more thoroughly in Math 550 and/or Math 551, while the Chapter 16 material is covered very thoroughly in Math 550.

Practice problems, not to be handed in:

Section 12.1: 1, 3,5, 25, 29, 41, 47, 51, 55, 57. All but the last two should take very little time.

Section 12.2: 7, 13, 17, 21, 23, 25, 31, 33, 35, 49. Physics and engineering students might also try their hand at 45 and 47, but this kind of problem will not appear on a test or quiz.

Section 12.3: 1, 5, 15, 25

Section 12.4: 3, 5, 15, 21, 39, 48 (answer: 5) optional physics-engineering problem: 25

Section 12.5: 1, 3, 5, 9, 21, 23, 35, 39

Section 13.1: 3 [just the part on velocity and acceleration]; 5, 9, 15, and finish 23.

Section 13.2: 1, 3, 13; finish 21.

Section 13.3: 1, 3, 5, 13.

Section 13.4: 1, 3, 7bc.

Section 14.1: 5, 7; finish 9 and do 13, 15 and 31 through 36.

Section 14.2: 1, 5, 7; 9, 15, 17, 61, 63.

Section 14.3: 1, 3, 7, 9, 23, 35, 41, 43, 51, 55.

Section 14.4: skipped

Section 14.5: 3, 7, 11, 19, 21,

Section 14.6: 1, finish 3, do 11.

Section 14.7: 1, 3, 15, 19.

Section 15.1: 3, 9, 15, 17, 25

Section 15.2: 19, 21, 29, 33, 35, 49, finish 51, do 53

Section 15.3: 3, 7, 9, 13, 15, 19, 21

Section 15.4: 1, 3, 7, 9, 13, 19, 23

Section 15.5: 1, 9, 11, 13, 37

Section 15.6: skipped

Section 16.1; 1-8, 11, 15, 25

'
Section 16.2; 1, 7ab, 17, 19, 21

Section 16.3: 1, 3, 23, 27

Section 16.4: 1, 3

Final exam times can be looked up here. The ones for this course are both on December 5, with the Section 007 exam at 9am, and the one for Section 003 at 12:30pm.

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 by clicking here.

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.

To get full credit, it is not enough to get the correct answer. You need to get it in such a way that someone who has not seen the problem before can tell that you did, indeed, get the right answer.

1. [Section 13.5 is relevant] Find the torsion *tau*(t) for
**r**(t) = 2t**i** + t^2**j** +
1/3t^3**k**.

2. [Section 14.7 is relevant] Let f(x,y) = x^2 -3y^2 - 2x + 6y. Find the maximum and minimum values of f on the region bounded by the square with vertices (0,0), (2,0), (0,2) and (2,2) and tell where they are located.