Mathematics 320 (4 credit hours) MULTIVARIATE CALCULUS http://www.utm.edu/~caldwell/classes/320/

Information for all sections: [ Prerequisites | Catalog Description | Text | Calculator | Syllabus ]
Information for this section: [ Graphing | Grading | Quizzes | Homework | Tests | Sample Tests ]

Teacher:
Dr. Caldwell, office 429 Humanities, office phone 7336.  Department office 7360.  E-mail: caldwell@utm.edu.  Web page: www.utm.edu/staff/caldwell.  E-mail is the standard method for us to communicate if the school is closed for an extended period of time.  I will use your e-mail as stored in Banner, usually an @ut.utm.edu account.
Prerequisites:
A grade of C or better in Mathematics 252. (This means that you are expected to remember how to integrate and differentiate! You must recall basic trigonometry.)
Catalog Description:
(Math 320)
Vectors and analytic geometric in space. Vector-valued functions of several variables. Differentials, gradients, and extrema of functions of several variables. Multiple integrals and their applications. Introductory vector analysis including line and surface integrals.
Text:
Calculus: Early Transcendentals (8th Edition, www.stewartcalculus.com), Loose-Leaf Edition, Stewart. ISBN: 978-130-527235-4.
Learning
Outcomes
for Major:

Upon completion of his/her degree from the University of Tennessee at Martin with a major in mathematics, the graduate will be able to:

1. apply mathematical concepts and principles to perform numerical and symbolic computations.
2. use technology appropriately to investigate and solve mathematical and statistical problems.
3. write clear and precise proofs.
4. communicate effectively in both written and oral form.
5. demonstrate the ability to read and learn mathematics and/or statistics independently.

Teaching
Objectives:
The student will:
1. Understand and use the basic ideas and concepts behind vectors and threedimensional analytic geometry.
2. Use the basic calculus of vector-valued functions and apply this to solving problems concerning motion in space.
3. Understand the concepts of limits and continuity of functions of several variables.
4. Understand the concept of partial derivatives and work problems using chain rule, directional derivatives, and gradients of multivariate functions.
5. Apply the calculus of several variables to finding tangents and normals, developing approximations, and locating extrema of functions of several variables.
6. Set up and evaluate multiple integrals in the rectangular, cylindrical, and spherical coordinate systems.
7. Apply multiple integration to finding areas, volumes, moments, and other situations.
8. Understand and employ basic vector analysis techniques including line integrals, Green’s Theorem, surface integrals, Divergence Theorem, and Stokes’ Theorem.
The course grade will be determined as follows:
10 %   quizzes (daily five-minute quizzes)
70 %   tests (five or six fifty-minute tests)
20 %   final (the final is comprehensive)
Letter grades will be assigned as follows:
90-100% A,    80-89% B,    70-79% C,    60-69% D,    0-59% F.
The grade of I is given very rarely and only in cases of true emergency, never to just temporarily improve your GPA.
Quizzes:
There is no way to pass a real mathematics class without doing the homework. So to help you focus on the homework, we will start most days with a brief "quiz" (usually less than five minutes).  This will usually be one problem directly from the previous night's homework.  You will be allowed to use your personal handwritten notes; but not your book, computer or printed notes.  If you have attended class and done all the homework, the quiz points should be automatic!

These quizzes will be graded on a four-point scale: one point for your name, four points for the correct answer, and two or three for a partially correct answer.  If you are late, you will get a one.  If you cheat, you may get a zero or negative score.

If you miss the day, or leave early, then you will get a zero.  Exceptions will be made for appropriate excuses, but you must let me know (and provide documentation) within two weeks.  Being excused from an absence does not excuse the next day's quiz.  If you miss class for any reason, you should still do your homework and be ready for the quiz.

The three lowest quiz scores will be dropped (other than "earned" zero or negative scores, see above).  All of your remaining quiz points will be added, then converted into a percentage score.

Quizzes will usually be returned the next class meeting. Those that are not picked up will be tossed out a week later.

Homework:
Homework will be evaluated through the quiz policy.  Click on the button to the right for the list of daily assignments.  (You can always go to my web page to find this assignment list.)
Tests & Final: The homework, quizzes and classroom examples indicate the type of problems that will be on the tests, though some (probably the final) may be changed to a multiple-choice format.  No make-up tests.  If you miss a test, you will be given the average of the following tests and final.  The final will be comprehensive.  Review for the final by studying the hour tests, homework and quizzes.  (Check also to see if there is a practice final online.)   You may not leave the room (and your phone... must not be visible) during any test or final.
Calculator:
We will not use graphing and programmable calculators for the exams!  Only basic calculators (such as those allowed for the Engineering FE exam) may be used. (Basically any Casio fx-115, fx-991; any TI-30X or TI-36X; and the HP 33s or HP 35s.) You are welcome to use others for homework and in class, but I have found they tend to be a distration on tests.
Graphing:
Excellent Graphing Programs by Konrad Polthier (large, but excellent).  A smaller acceptable Surface Plotter (local copy)
Syllabus:
The Department of Mathematics and Statistics publishes a syllabus for each of it courses which may be viewed in my office or on the departmental web pages.
Note:
The University of Tennessee provides reasonable accommodations (academic adjustments and auxiliary aids) to ensure equal access to educational content and university programs for students with disabilities. Students who are eligible for and who request accommodations through the Disability Services office must provide instructors with a letter of accommodation. The Disability Services office is located in the Student Success Center, 203 Clement Hall, (731) 881-7605.
Honesty:
Academic dishonesty will not be tolerated and will result in at least an F for the quiz, test or assignment.  Your Student Handbook clearly states "suspension from the university is the expected penalty" for "plagiarism, cheating, and academic integrity issues" and this includes submitting the work of another person as your own or permitting another to submit yours as his/her own.
Questions:
If you have any questions:
• Ask in class after the quiz.
• Study with a friend.
• Form a study group in the class
• Drop by my office (office hours are posted on my door)
• Ask in the Math Lab (first Tuesday of classes) : MTWTh 9-4 in B103A (Humanities Basement), 4-8 in Humanities 408
• Ask in the Math & Science Lab, Clement 315, MWTh 8-5, Tue 8-12, 1-5; Fri 8-1.
• Find a private tutor (perhaps ask Mr. Bush, director of the Math Lab, if he has a list)