Professor: Peter J. Nyikos

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

Email: nyikos @ math.sc.edu

Office hours until further notice : 10:30 - 12:30 MTWR. 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.

**
Office hours on Friday, June 23 June 24 are as usual:
10:30 -12:30; on Saturday, June 24 they are 10:00 - 12:00 [half hours earlier
than announced in class].
**

The first quiz was on Wednesday, May 10, on sections 12.1 and 12.2.

The second quiz was on Monday, May 15, on sections 12.3 and 12.4.

The third quiz was on Wednesday, May 17, on section 12.5.

The fifth quiz was oh Wednesday, May 31, on Section 14.5.

The sixrh quiz was on Monday, June 5, on section 14.6.

The seventh quiz was on Wednesday, June 7, on Section 15.1

The eighth quiz was on Thursday, June 8, on Section 15.2 and 15.3

The ninth quiz was on Wednesday, June 14, on Section 15.4

The tenth quiz was on Monday, June 15, on section 15.7.

There were ten quizzes altogether, and the two lowest ones will be dropped.

The midterm test was on Thursday, May 25.

The final exam will be on Saturday, May 24 starting at 12:30 pm.

The quizzes are weighted so that they contribute 100 points to your course grade altogether. The midterm counts another 100 points, and the final exam counts 200 points. In addition, attendance contributes to your grade, bringing up borderline cases in case of perfect attendance or just 1 or 2 absences, and pulling your grade down for any absences in excess of 3 (but never more than one grade, e.g. A to B+, etc.)

The textbook for this course is *Thomas's Calculus: Early Transcendentals *
by Thomas, Weir, and Hass, 13th edition. ** Contrary to what may be 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: 27, 43, 47, 51, 55. All but the last two should take very little time.

Section 12.2: 5, 7, 17, 21, 25, 33, 39. 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 12.3: 1, 5, 15, 25

Section 12.4: 1, 5, 15, 21, 25, 35, 39

Section 12.5: 1, 3, 7, 9, 13, 15, 21, 23. optiohal: 35, 39

Section 13.1: finish 3, 7, and 23; do 5, 9, 15

Section 13.2: 1, 3, 13, finish 15.

Section 13.3: 1, 3, 7, finish 13.

Section 13.4: 1, 3, 7bc.

Section 14.5: 3, 7, 11, 21, 25.

Section 14.6: 1, 3, finish 5, do 9, 11.

Section 14.7: 1, 3, 15, 19.

Section 15.1: 3, 7, 15, 17, 25 (see Example 2), finish 33.

Section 15.2: 1, 3, 9, 11, 19, 29, 33, 35, 49, finish 51, do 53.

Section 15.3: 3, 7, 9, 13, finish 15, 19.

Section 15.4: 1, 7, 9, 11 [Compare Example 4 and Problem 10, done in class],
19, finish evaluating rectangular conversion integral in Problem 23.

Section 16.1: 1 through 8, 11, 15, 25 .

Section 16.2: 1, finish 7a and 7c, do 7b, 17, 19, 21

Section 16.3: 1, 3, 23.

Section 16.4: part (3) of 1 and 3, and 27.

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. **

1. [Worth 5 points] Write a detailed solution for 33 in Section 15.1, so that anyone can see that the answer in the back of the book is correct.