## MATH 261 - Calculus III

Fall 1999
MATH 261.00 (4 credits), MTu_ThF, 10:00AM-10:50AM, Wickersham 105
Textbook:
Calculus, 6th edition, Swokowski, Olinick, and Pence PWS Publishing Company, 1994.
Instructor:
Dr. Buchanan
Office: Wickersham 113, Phone: 872-3659, FAX: 871-2320
Office Hours: 9:00AM-10:00AM (MTu_ThF), or by appointment
Email: Robert.Buchanan@millersville.edu
Coverage:
• Vectors and Surfaces (Chap. 10)
• Vector--valued Functions (Chap. 11)
• 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 R2, 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 R3.
• 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 R3.
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 (tests and/or 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. Not only is the homework your opportunity to determine if you understand and reinforce the material, all of the test and exam problems will be taken from the homework exercises in your textbook. The student solutions manual to the homework problems for this course will be placed on reserve in the Ganser Library. You may check out the solutions for a maximum of three hours at a time by asking for the ``Buchanan MATH 261 Solutions Manual'' at the reserve desk.

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.

Assignments by Section
• Sec. 10.1, pp. 855-857; 1-55 odd
• Sec. 10.2, pp. 863-864; 1-45 odd
• Sec. 10.3, pp. 874-876; 1-51 odd
• Sec. 10.4, pp. 884; 1-37 odd
• Sec. 10.5, pp. 896-898; 1-65 odd
• Sec. 10.6, pp. 915-917; 1-7 odd, 9-20, 23-43 odd, 57
• Chap. 10 Review, pp. 918-919; 1-49 odd
• Sec. 11.1, pp. 928; 1-23 odd, 27, 28, 29
• Sec. 11.2, pp. 935-937; 1-49 odd
• Sec. 11.3, pp. 944-945; 1-25 odd, 26, 27-33 odd
• Sec. 11.4, pp. 957-958; 1-49 odd
• Chap. 11 Review, pp. 970-971; 1-19 odd
• Sec. 12.1, pp. 982-986; 1-39 odd, 40-44, 45-57 odd, 58, 59, 61
• Sec. 12.2, pp. 995-996; 1-41 odd
• Sec. 12.3, pp. 1004-1007; 1-18, 19-57 odd, 58, 59-63 odd
• Sec. 12.4, pp. 1019-1021; 1-37 odd, 39-42
• Sec. 12.5, pp. 1028-1030; 1-35 odd, 37-41, 45
• Sec. 12.6, pp. 1040-1042; 1-31 odd, 39-44
• Sec. 12.7, pp. 1049-1050; 1-29 odd
• Sec. 12.8, pp. 1058-1062; 1-45 odd, 51
• Sec. 12.9, pp. 1070-1071; 1-21 odd
• Chap. 12 Review, pp. 1071-1073; 1-43 odd
• Sec. 13.1, pp. 1088-1090; 1-10, 11-49 odd
• Sec. 13.2, pp. 1099-1101; 1-31 odd
• Sec. 13.3, pp. 1109-1111; 1-31 odd
• Sec. 13.4, pp. 1114-1115; 1-13 odd
• Sec. 13.5, pp. 1125-1127; 1-33 odd
• Sec. 13.7, pp. 1143-1144; 1-35 odd, 39, 40
• Sec. 13.8, pp. 1150-1151; 1-35 odd, 39, 40, 41
• Chap. 13 Review, pp. 1163-1165; 1-51 odd
• Sec. 14.1, pp. 1175-1176; 1-11 odd, 13-16, 17-35 odd, 36
• Sec. 14.2, pp. 1186-1188; 1, 2, 5-8, 11-19 odd, 20, 21-33 odd
• Sec. 14.3, pp. 1196-1197; 1-29 odd
• Sec. 14.4, pp. 1205-1206; 1-23 odd, 24, 25, 27
• Sec. 14.5, pp. 1214-1215; 1-21 odd
• Sec. 14.6, pp. 1221-1222; 1-17 odd, 18, 19-27 odd
• Sec. 14.7, pp. 1231; 1-13 odd, 14, 15-19 odd, 20
• Chap. 14 Review, pp. 1232; 1, 3, 5, 9-17 odd, 23-29 odd
Tests:
Three 50-minute tests (tentatively scheduled for 09/27/99, 10/29/99, and 11/19/99) and a comprehensive final exam (Saturday, December 18, 8:00AM-10:00AM).

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.