Math 241 (Vector Calculus) Section 009
Fall, 2017

Lectures in Flinn Hall 107   MWF 1:10 -- 2:00PM

Professor: Peter J. Nyikos

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

Email: nyikos @

Office hours until further notice : 10:40 - 12:35 and 2:10 -3:30 MWF; 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.

The first quiz was on Friday, Sept. 8, on Section 12.3 of your textbook.
The second quiz was on Friday, Sept. 15, on Section 12.4 of your textbook.
The third quiz was on Friday, Sept. 22, on Section 12.5 of your textbook.
The fourth quiz was on Wednesday, Sept. 27, on Sections 13.1 and 13.2 of your textbook.
The fifth quiz was on Monday, Oct. 16 on Section 14.3 of your textbook.
The sixth quiz was on Friday, Oct. 27, on Section 14.5 of your textbook.
The seventh quiz was on Monday, Oct. 30 on Section 15.1 of your textbook.
The eighth quiz was on Wednesday, Nov. 8, on Section 15,2 of your textbook.

The first hour test was on Wednesday, Oct. 4.
The second hour test was on Wednesday, Nov. 3.

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 section.

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.,

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:

The course covers the following sections of the textbook.: [In some sections, such as 13.4, 14.2, 14.4, 14.6, and 16.4, only some of the highlights will be treated in detail.]

In addition, sections 11.1, 11.2, 11.3 and 11.4 may be reviewed as needed. The course begins with 12.1, which is important for getting a feel for a three-dimensional coordinate system.

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.

The final exam is on Wednesday, December 13, at 12:30 pm. Information on all final exam times can be found outside of "Self Service Carolina" here.

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.

Practice problems, not to be handed in:

Section 12.1: 1,3, 5, 25, 29, 41, 47, 51, 55, 57. All but the last three 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: finish 1, do 5.
Section 12.4: 5, 15, 21, 35, 39. optional: 25 .
Section 12.5: 1, 3, 7, 9, 13, 15, 21, 23. Optional: 35, 39.

Section 13.1: 9, 11, 13, 19, and finish 23.
Section 13.2: 1, 3, 13, and 17; optional: 21 and 23.
Section 13.3: 1, 3, 5, 13.

Section 14.2: 1, 5, 7, 15, 17, 43, 45, 49
Section 14.3: 1, 7, 9, 13, 15, 23, 35, 41, 43, 45, 51, finish 55.

Section 14.5: 3, 7, 11, 19, 21.
Section 14.6: finish 1, do 3, 11.
Section 14.7: 1, 3, 15, 19.

Section 15.1: 3, 9, 11, 15, 17, 25
Section 15.2: 1, 3, 9, 11, 19, 21, 33, 47.
Section 15.3: 3, 5, 9, 13, 15.
Section 15.4: 1, 5, 7, 9, finish 13 and do 23.

Section 16.1: finish 1 through 8, do 11, 15.

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.

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.