Sample Syllabus for MATH 2315: Calculus III

Text: Calculus: Early Transcendental, Eighth Edition, by Anton, Bivens, and Davis
ISBN: 0471472441

Catalog Description

The course description for MATH 2315 Calculus III may be found in the online Catalog and also in the print edition of the Brookhaven College 2004-2006 Catalog on page 232. Page 163 of the print catalog also has a graphic showing how to read the course description information.

Course Objectives

1. Sketch, differentiate and integrate vector-valued functions.
2. Find the velocity and acceleration vector functions for a given position function and use them to solve projectile motion problems. (*CCIC #5)
3. Find the unit tangent, unit normal, tangential/normal components of acceleration, arc length and curvature for given vector-valued space curve.
4. Find limits, partial derivatives, gradient and directional derivatives for given functions of two variables. (CCIC #5)
5. Find the equation of tangent planes and normal lines to a given surface.
6. Determine relative extrema of given surfaces f (x ,y) and maximize/minimize functions subject to given constraint using Lagrangian Multipliers (CCIC #5)
7. Evaluate double integrals and use them to find areas of plane regions, volumes of solids, center of mass and moments of plane regions, and surface areas. (CCIC #5)
8. Evaluate triple integrals and use them to find volumes, mass, center of mass and moments in rectangular, cylindrical and spherical coordinate systems. (CCIC #5)
9. Given a vector field, find the curl, divergence, determine whether it is conservative, and find the potential function for conservative fields.
10. Evaluate line integrals over specified paths using either parameterization or the Fundamental Theorem of Line Integrals depending on whether the integral is independent of path. (CCIC #5)
11. Evaluate surface integrals over a specified plane region and use them to find flux. (CCIC #5)
12. Use the Divergence Theorem to evaluate surface integrals, Green’s Theorem to evaluate line integrals around closed plane curves, and Stoke’s Theorem to evaluate line integrals around closed curves on a surface. (CCIC #5)

*MATH 2315 will include the following Core Curriculum Intellectual Competency, CCIC:

• CCIC #5 – Critical Thinking – think and analyze at a critical level.

Room Assignment

The room assignment for the course may be found in the Credit Course Schedule and also is printed on the paid fee receipt. For special help, students are encouraged to come to the Math Lab, Building K, Room K137. Lab hours are posted on the door of the Math Lab.

Attendance

Students are expected to attend regularly all classes in which they are enrolled and to consult with the instructor when an absence occurs. If a student is unable to complete a course, it is the responsibility of the student to drop the course by the drop date listed in the academic calendar. Dropping a course is a formal procedure which the student must initiate; the instructor cannot do it. The Admissions Office processes adding and dropping of courses. The Admissions Office is located in the Student Services Center, Building S, Room S052.

Students who officially drop this course or withdraw from the college before the deadline will receive a “W” grade in this course. If a student stops attending class but does not officially drop the course through the Admissions Office, the student’s transcript will show a performance grade for the course, usually an “F.”

It is DCCCD policy that before any student can enroll for a DMAT or Math course, they must have successfully completed the prerequisite course or earned an appropriate score on the Accuplacer™ Math Assessment Test. Students who assess into any Developmental Math class must complete the remainder of the DMAT sequence with at least a grade of “C” in order to enroll into college-level Math courses.

Students who will be absent from class for the observance of a religious holiday must notify the instructor in advance. Please refer to the college catalog section Attending Classes.

Evaluation Procedures

The evaluation procedures differ according to the section’s instructor.

The scale used to determine the final course grade is:

If an unforeseen emergency prevents a student from completing the work in a course, a grade of “Incomplete,” or “I,” will be given. The division dean must approve all “I” grades.

Scholastic Dishonesty Policy

Instances of scholastic dishonesty will not be tolerated. The Code of Student Conduct prohibits scholastic dishonesty. Any student violating this policy shall be subject to disciplinary sanctions including suspension from Brookhaven College.

Other

A TI-84 PLUS calculator is required for this course. However, no TI-89 or TI-92 calculators are allowed.
Cell phones are not appropriate in class.