Calculus III
Spring 2002
MATH 261.02 (4 credits), MTu_ThF, 2:00PM-2:50PM, Wickersham 105

Textbook:

Calculus, 2nd edition, Robert T. Smith and Roland B. Minton, McGraw-Hill Company, 2002, ISBN 0-07-239848-5.

Instructor:

Dr. Buchanan
Office: Wickersham 112, Phone: 872-3659, FAX: 871-2320
Office Hours: 9:00AM-10:30AM (M_F), 9:00AM-9:30AM (Tu_Th), or by appointment
Email: Robert.Buchanan@millersville.edu
URL: http://banach.millersville.edu/~bob

Coverage:
• Vectors and the Geometry of Space (Chap. 10)
• Vector-valued Functions (Chap. 11)
• Functions of Several Variables and Partial Differentiation (Chap. 12)
• Multiple Integrals (Chap. 13)
• Vector Calculus (Chap. 14)

Objectives:

The student will:

• Understand the algebra and geometry of vectors in 2 and 3 dimensions.
• Understand the calculus of curves in , the unit tangent and unit normals vectors, curvature, and motion along a trajectory.
• Learn the three-dimensional vector algebra required by linear algebra courses: dot and cross products, projections, and equations of line and planes in .
• Understand spherical coordinates and cylindrical coordinates.
• Understand partial differentiation, and will apply partial derivatives to the computation of gradients, directional derivatives, tangent planes, and differentials.
• Understand differentiable functions of several variables.
• Locate and classify critical points of functions of several variables, and will solve applied optimization problems.
• Understand definite integrals in higher dimensions. The student will set up and evaluate multiple integrals, and will be able to interchange the order of integration.
• Understand line and surface integrals, potential functions, and path independence. The student will apply Green's theorem in the plane, and Gauss's and Stokes' theorems in .

Prerequisites:

A grade of C- or better in MATH 162 (Calculus II) is a prerequisite for this course.

Attendance:

Students are expected to attend all class meetings. If you must be absent from class you are expected to complete class requirements (e.g. homework assignments) prior to the absence. Students who miss a test should provide a valid excuse, otherwise you will not be allowed to make up the test. Tests should be made up within one week of their scheduled date. No final exam exemptions.

Homework:

Students are expected to do their homework and participate in class. Occasionally homework assignments will be collected and graded. The homework is your opportunity to determine if you understand the material covered in class. The homework assignments will also reinforce and extend the classroom material covered. Students are encouraged to work homework exercises together and to study together. To facilitate this, students will be grouped together several times during the semester to work on special assignments and designated test problems.

Students should expect to spend a minimum of twelve hours per week reviewing notes taken during class and working assigned homework exercises. Preparation for the tests and final exam will require additional hours of study. Students will find it beneficial to review all lecture notes and other relevant material collected from the beginning of the semester until the present time at least once per week.

Tests:

Four 50-minute tests (tentatively scheduled for 09/17/2002, 10/04/2002, 11/01/2002, and 11/26/2002) and a comprehensive final exam (Thursday, December 12, 2002, 10:15AM-12:15PM). On each of the 50-minute tests there will be problems to be worked individually as well as problems designated to be worked collaboratively in groups. The test grade will consist of 90% your individual effort and 10% your group's effort. If the group contribution lowers your individual grade, then your test grade will be based 100% on your individual work.

To determine the effectiveness of teaching and learning in the MATH 161/162 courses, the department administers an assessment exam in MATH 261 covering topics from these earlier courses. The so-called Core Calculus Assessment Test will count 5% of your final course grade in MATH 261 and will be administered in class on Friday, 09/13/2002.

I will not ``curve'' test grades. If you feel that an error was made in the grading of a test, you should explain the error on a separate sheet of paper and return both it and the test to me within three class periods after the test is returned to you.

Course grade will be calculated as follows.

 Tests 55% Core Calculus Assessment Test 5% Exam 25% Homework 15%

I keep a record of students' test, homework, and exam scores. Students should also keep a record of graded assignments, tests, and other materials. The course letter grades will be calculated as follows. I will not ``curve'' course grades.

 90-92 A 93-100 A 80-82 B 83-86 B 87-89 B 70-72 C 73-76 C 77-79 C 60-62 D 63-66 D 67-69 D 0-59 F

Inclement Weather Policy:

If we should miss a class day due to a school closing because of weather, any activities planned for that missed day will take place the next time the class meets. For example, if a test is scheduled for a day that class is canceled on account of snow, the test will be given the next time the class meets.

Final Word:

Math is not a spectator sport. What you learn from this course and your final grade depend mainly on the amount of work you put forth. Daily contact with the material through homework assignments and review of notes taken during lectures is extremely important.

Page maintained by: Robert.Buchanan
Robert.Buchanan@millersville.edu

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