Calculus III

Spring 1996

Other resources


Instructor: Dr. Art Duval

Please feel free to come by any time during scheduled office hours. You are welcome to come at other times, but in that case, you might want to make an appointment, just to make sure that I will be there then. You can make an appointment simply by talking to me before or after class, by calling me at my office or at home, or sending e-mail.

Textbook: Multivariable Calculus, McCallum, Hughes-Hallet, Gleason, et. al., Chs. 11-18.

We will skip a few sections, as announced in class, and we may start Ch. 19. The textbook is required at all class meetings. A Student Solution Manual, consisting of solutions to approximately every other odd problem, is for sale at the bookstore.


Each student must have a graphing calculator with capabilities equivalent to the TI-85 . The calculator is required at all class meetings and exams.

Some programs for the TI-85 will made available in class. You may have any programs you wish in your calculators during exams and you may bring your calculator manual to exams. Failure to have certain programs in your calculator may put you at a distinct disadvantage on an exam. If using the TI-85, you should be familiar with the GRAPH, CALC, LIST, PRGM, and SOLVER keys.

You will also use computers on campus or at home to graph surfaces.


Homework will be assigned most class days and will generally be due at the beginning of the next class meeting (with exceptions as announced in class). About half of the problems from each homework set will be selected for grading and the score on the selected problem(s) will determine the grade for that homework set. Late homeworks will NOT be accepted, but the three lowest individual scores will be dropped.

Some homework may take the form of written group projects; in this case, every group member will receive the same score. Each of these will count as two homework assignments.

There will also be in-class group assignments, due at the end of class. These will each count as half a homework assignment, and cannot be made up if you are absent.

Tests (15% each):
There will be three in-class tests on the following days (depending on which section you are in): NO MAKE-UP TESTS (except in EXTRAORDINARY circumstances and with advance notice), but see ``Exception'' below.
Final (40%)
comprehensive (including Chs. 17, 18)
Fri 10 May, 4:00-6:45 p.m. (Mon/Wed section)
Tue 14 May, 10:00-12:45 p.m. (Tue/Thu section)
The final exam score will be used in place of the lowest in-class test score, if this increases the overall class average.

Attendance Policy:

On-time attendance at all classes is required. I will not be checking attendance, but there will be in-class assignments (see "Homework" above) that you cannot make up if you miss class.

Drop policy:

The deadline for student initiated drops with an automatic W is Fri. Feb. 23. From then until Fri. Apr. 19, you can drop the course by consulting me. To drop with a W requires a D average on the tests taken to that point, but I will also drop you with a W, even if your average is below a D, if you discuss your situation with me immediately after the test that brings your average below a D.

Goal of the course:

The goal of the calculus sequence is to obtain a solid understanding of the concepts of function, derivative, and integral equally well from numerical, graphical, and symbolic points of view, and to be able to express your understanding in written or spoken form, using correct language and grammar. In dealing with a problem to which calculus is applicable, you should be able to use whichever point of view is most effective. You will also understand when it is appropriate to use technology, when a purely symbolic approach is more effective, and how to mix the two.

In this course, we will study differentiation and and integration of functions of several variables, optimization, vectors and vector fields, and parametric curves.

In all chapters, you will experience open-ended problems, problems which require written commentary rather than a string of symbols or numbers, and problems for which different answers may be equally correct.

Required Reading: Preface: pages v, vi, xi. The textbook is intended to be read. In full. Pay particular attention to the third bullet on page xi. Read each section that we cover in class, both before and after class.

Fair Warning: The approach of this course to calculus is intended to be different. If you have had a calculus course already, you will probably find much that is unfamiliar and a very different emphasis on things you may think you know already. Be alert to this and remember that previous experience is unlikely to be enough to coast on. Treat each topic as if you were meeting it for the first time, and be alert to make sure you understand each day's material before the next class meeting.


Since this is only the second semester that Calculus III has been taught this way (including the use of a graphing calculator), it is likely to be more difficult than usual to obtain help with the course material from sources outside the department of mathematical sciences. There is help available to you provided you are willing to take advantage of it.

my office: I will be glad to meet with you, in addition to office hours, at any time that I do not have to be somewhere else. You may wish to make an appointment to be sure that I will be in my office when you are coming, but you do not need to. My entire schedule is on my office door.

Ms. Leticia Monsivais (Bell 216) is the teaching assistant for (the Mon/Wed section of) the course. She will attend some class meetings, and grade the homework. She will also hold office hours: Tue, Thu 11:00-11:50.

Mr. Alan Mabry (Bell 141, 747-5884) is the teaching assistant for (the Tue/Thu section of) the course. He will grade the homework and hold office hours: Fri 11:30-12:30.

Dr. Guthrie (Bell 124) is teaching a similar section of Calculus III (same text, use of calculators, etc.), and will be available to help during his office hours, which are MWF 10:30-11:00.

each other!: It is the intent of the course to require some group activities, which will enable you to get to know each other and form study groups on your own.

(See also the list of office hours for the people mentioned above.)

Calculator: Some training on the TI-85 will be given in class, and some help with the TI-82 or HP48G may be available, but we will spend as little time as possible in class on formal calculator training. I will be glad to help you with the calculator outside of class.

I am not an expert on the calculator (or the graphing software for the computer), and I hope and expect that soon many of you will know more about it than I do. Please let me know if you figure out anything interesting!