Calculus III, Math 231 – Fall 2011

Text: Calculus Early Transcendental by Briggs and Carlson, Addison-Wesley, 2011

Instructor: Josef Brown Office: Speare 145 Phone: 835-5621

email: jbrown@nmt.edu Office Hours: MWF 2:30 to 5:00, or by appointment

Course Content: Chapters: 11, 12, 13, 14, Intro to Differential Equations

Course Description: Vectors in the plane and 3-space, vector calculus in two dimensions, partial

derivatives, multiple integration, topics in vector calculus, and first and second order differential equations.

Course Objectives: Upon completion of this course, students should be able to:

· Perform the algebra operations on vectors in the plane,

· Describe lines, planes, and surfaces in 3-space

· Compute the tangent and normal vectors to space curves,

· Compute tangential and normal components of acceleration,

· Sketch functions of several variables,

· Compute tangent plane to surfaces,

· Describe and use the Chain Rule,

· Compute extreme values of functions of several variables,

· Compute multiple integrals,

· Compute surface area, mass, and moments,

· Compute line integrals and test for independence of path,

· State and use Green’s Theorem, Stokes' Theorem, and the Divergence Theorem

· Solve first and second order differential equations

Policies: This course is scheduled in such a way as to permit the convenient realization of the stated objectives above. Most students will find it necessary to attend the classes, take notes and ask questions to be successful in this class. If you must miss a class, it is your responsibility to make up any work. If you miss a test or homework assignment it is your responsibility to make arrangements with me to make it up. (Be prepared to provide a plausible justification for being late.) The work provided is sufficient to demonstrate your understanding of the material. If you are concerned about your grade, focus on the assigned work during the course of the semester. Do not ask for extra credit at the end of the course.

Homework: Homework will be assigned every class day. It is to be turned in at the end of each week. Homework will count for 15% of your total grade and another 15% will come from special assignments (one per test period).

Testing: There will be four tests, each worth 10% of your total grade, eight quizzes, each worth 1.25% of your total grade, and a comprehensive final worth 20% of the total grade.

Grades: Letter grades will be assigned based on the percentage earned. All work will be graded and returned as quickly as possible.

Help: Please seek help if you need it. See me during office hours, or go by the tutoring lab in Weir 220.

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