# Mathematics

## MATH 240

# Credit Hours

(5-0) 5 Cr. Hrs.

# Section Start Dates

Section No | Start Date |

113082 | January 12, 2015 |

113107 | January 12, 2015 |

## Calculus With Analytic Geometry 3

### Course Description

Vectors in the plane, vectors in three-space, solid analytic geometry, partial derivatives, line integrals, multiple integrals and applications are the topics covered in this course.

### Prerequisites

(A requirement that must be completed before taking this course.)

- MATH 151 or equivalent with grade of 2.0 or better.

### Course Competencies

Upon successful completion of the course, the student should be able to:

- Calculate operations involving vectors.
- Apply vectors to physical situations in the plane.
- Apply vectors to physical situations, including motion, in three dimensions.
- Calculate limits for multivariable functions.
- Determine continuity for multivariable functions.
- Evaluate partial derivatives for multivariable functions.
- Evaluate mixed partial derivatives for multivariable functions.
- Optimize functions of two variables.
- Evaluate double integrals in rectangular coordinates.
- Evaluate double integrals in polar coordinates.
- Evaluate triple integrals in rectangular coordinates.
- Evaluate triple integrals in cylindrical coordinates.
- Evaluate triple integrals in spherical coordinates.
- Evaluate line integrals.
- Apply vector calculus to physical situations.