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COURSE OUTLINE
Central Arizona College 8470 N. Overfield Road Coolidge, AZ 85228 Phone: (520) 494-5206 Fax: (520) 494-
Prefix/Number: MAT 241
Course Title: Analytical Geometry and Calculus III
Course Description :
Analytic geometry and differential and integral calculus. Emphasis placed on concepts of vector-valued functions of several variables, multiple integration and partial differentiation.
Semester Hours : 4 Times for Credit: 1
Lecture/Lab Ratio : 4 Lectures
Pre-requisites: MAT 231, RDG100A or RDG100B
Co-requisites: None
Cross Listed: None
Grading Options: A/F
Approved Modalities: F2F
Central Arizona College MAT241 - Analytical Geometry and Calculus III Page 2 of 2
Learning Outcome Statements:
Upon completion of this course the student will be able to:
- Solve geometry and physics problems.
- Analyze the motion of an object.
- Analyze the behavior of a function of several variables.
- Solve optimization problems.
- Evaluate double and triple integrals.
- Use multiple integrals to calculate line and surface integrals.
Standards:
The student will meet the learning outcomes at the following level, degree or measurement:
- Solve geometry and physics problems by applying the properties of plane and space vectors.
- The student will use the cross product and dot product to describe relationships between lines planes and vectors.
- Given a curve defined by a vector-valued function, the student will use this graph of this curve to describe the motion of an object along that curve.
- Given a curve defined by a vector-valued function, the student will find tangential and normal components of this curve to describe the motion of an object along that curve.
- The student will apply the appropriate rules of continuity, differentiation and integration to vector-values functions.
- The student will recognize and describe the graph of a function defined in several variables by using contour graphs.
- The student will solve optimization problems by applying the appropriate rules of partial derivatives to functions defined in several variables.
- The student will correctly set up and compute double and triple integrals, in any order, of functions defined in rectangular, polar, cylindrical, and spherical coordinates.
- Given a curve the student will use line integrals to compute the work done by a vector field along a curve.
- Given a surface the student will use surface integrals to compute the flux of a vector field through a surface.
AGEC/Special Requirements: Math AA, Math AB, Math AS
Revised: 01/
