# Mathematics

## MATH 151

# Credit Hours

(5-0) 5 Cr. Hrs.

# Section Start Dates

Section No | Start Date |

143032 | August 25, 2014 |

143083 | August 25, 2014 |

143106 | August 25, 2014 |

143107 | August 25, 2014 |

## Calculus With Analytic Geometry 2

### Course Description

This course includes the study of derivatives and integrals of transcendental functions, techniques of integration, indeterminate forms, improper integrals, infinite series, conics, polar coordinates and applications.

### Prerequisites

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

- MATH 150 or equivalent with grade of 2.0 or better.
- Note: MATH 151 may be taken concurrently with MATH 230.

### Course Competencies

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

- Apply the definite integral in computing areas and surface areas.
- Apply the definite integral in computing volumes.
- Determine the derivative of hyperbolic and inverse hyperbolic functions.
- Compute the integral of hyperbolic and inverse hyperbolic functions.
- Evaluate integrals using various techniques such as: parts, rationalizing substitutions, trigonometric substitution, partial fractions, completing the square.
- Evaluate improper integrals.
- Identify convergence or divergence of various sequences and series.
- Evaluate certain non-polynomial functions using a Maclaurin or Taylor series.
- Determine the derivative of a power series.
- Compute the integral of power series.
- Analyze conic sections.
- Determine the derivative of a function in polar coordinates.
- Compute the integral of a function in polar coordinates.
- Apply the integral in computing areas and slopes of tangents represented in the polar coordinate system.
- Determine the derivative of a parametric curve.