Math 241 (Vector Calculus) Section 101
Summer 3S1, 2017

Lectures in LeConte 310

MTWR 1:45 -- 3:10 PM

Professor: Peter J. Nyikos

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

Email: nyikos @

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 Tuesday, May 23 are 10:30 - 1:30.

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 first quiz will be on Wednesday, May 17, on section 12.5.

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

The midterm test will be 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.,

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 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.

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

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.