# View Descriptor

## Submission Information

• Final
• Mathematics
• February 03, 2012

## Descriptor Details

• College Algebra for STEM
• 151
• 4.0

## General Description

College level course in algebra for majors in science, technology, engineering, and mathematics: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; analytic geometry

## Prerequisites

Intermediate Algebra

## Content

1. Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic: definitions, evaluation, domain and range;
2. Inverses of functions;
3. Algebra of functions;
4. Graphs of functions including asymptotic behavior, intercepts, vertices;
6. Equations including rational, linear, polynomial, radical, exponential, absolute value, logarithmic;
7. Linear, nonlinear, and absolute value inequalities;
8. Systems of equations and inequalities;
9. Characterization of the zeros of polynomials;
10. Properties and applications of Complex numbers;
11. Properties of conic sections; and
12. Sequences and series.

## Objectives

Upon successful completion of the course, students will be able to:

1. Analyze and investigate properties of functions;
2. Synthesize results from the graphs and/or equations of functions;
3. Apply transformations to the graphs of functions;
4. Recognize the relationship between functions and their inverses graphically and algebraically;
5. Solve and apply rational, linear, polynomial, radical, absolute value, exponential, and logarithmic equations and solve linear, nonlinear, and absolute value inequalities;
6. Solve systems of equations and inequalities;
7. Apply techniques for finding zeros of polynomials and roots of equations;
8. Apply functions and other algebraic techniques to model real world STEM applications;
9. Analyze conics algebraically and graphically; and
10. Use formulas to find sums of finite and infinite series.

## Evaluation Methods

Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.

## Textbooks

A college level text designed for science, technology, engineering and math majors, and supporting the learning objectives of this course.