# Mathematics

## MATH 145

# Credit Hours

(4-0) 4 Cr. Hrs.

# Section Start Dates

Section No | Start Date |

143128 | August 25, 2014 |

## Calculus for Business and Social Science

### Course Description

The main topics of this course are differentiation of algebraic, exponential and logarithmic functions; curve sketching; optimization; constrained optimization; integration; introduction to functions of several variables; and applications.

### Prerequisites

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

- MATH 128 or equivalent with grade of 2.0 or better.

### Course Competencies

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

- Solve a variety of practical problems, including but not limited to, problems of production, growth, decay, and compound interest, using algebraic, exponential and logarithmic functions.
- Compare the concepts of limit and derivative of a function verbally, graphically, numerically or analytically.
- Compute manually the precise derivatives of algebraic, exponential and logarithmic functions at selected points.
- Interpret the meanings of the precise derivatives of algebraic, exponential and logarithmic functions at selected points.
- Determine an estimate for the derivative of any smooth function at a selected point via numerical approximation on a calculator.
- Interpret the meaning of an estimate for the derivative of any smooth function at a selected point via numerical approximation on a calculator.
- Apply methods of differentiation to solve a variety of practical problems, including but not limited to, problems of optimization.
- Compare the concepts of limit and integral of a function verbally, graphically, numerically or analytically.
- Compute manually the precise definite integrals of algebraic, exponential and logarithmic functions between selected points.
- Interpret the meanings of the precise definite integrals of algebraic, exponential and logarithmic functions between selected points.
- Determine an estimate for the definite integral of any smooth function between selected points via numerical approximation on a calculator.
- Interpret the meaning of an estimate for the definite integral of any smooth function between selected points via numerical approximation on a calculator.
- Apply methods of integration to solve a variety of practical problems, including but not limited to, problems of accumulated income.
- Compute manually the precise partial derivatives of algebraic, exponential and logarithmic function of several variables at selected points.
- Interpret the meanings of the precise partial derivatives of algebraic, exponential and logarithmic functions of several variables at selected points.
- Apply methods of partial differentiation to solve practical problems of constrained optimization.