# Intermediate Algebra

**Course Number: **MTH 095

**Transcript Title: **Intermediate Algebra

**Created: **September 1, 2012

**Updated: **December 19, 2014

**Total Credits: **
4

**Lecture Hours: **30

**Lecture / Lab Hours: **20

**Lab Hours: **0

**Satisfies Cultural Literacy requirement: **
No

**Satisfies General Education requirement: **
No

**Grading options: **
A-F (default), P-NP, audit

#### Prerequisites

MTH 65 or equivalent placement test scores; placement into WR 115

## Course Description

Introduces functions graphically and symbolically with an emphasis on function notation. Investigates functions, equations, and graphs involving linear, quadratic, rational, radical, and absolute value expressions. Integrates technology throughout. Graphing calculator required. Prerequisites: MTH 65 or equivalent placement test scores; placement into WR 115. Audit available.

## Intended Outcomes

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

- Formulate and solve problems in one variable using quadratic, rational and radical equations as models.
- Formulate and solve problems in one or more variables using linear models.
- Recognize the connection between graphs and algebra and solve problems both symbolically and graphically.
- Recognize the graph of a function and use function notation.
- Communicate results mathematically and in writing.

## Outcome Assessment Strategies

Instructors will use a variety of the following measures:

- Homework, quizzes, group activities, problem sets
- Exams, which may include: proctored, take-home, open-book, group, cumulative.
- Projects, portfolios, and field work - individual or group

## Course Activities and Design

This course will be delivered through a combination of lecture and student activities including group and individual problem solving during class. Emphasis is to be given to applications from outside the mathematics classroom. At least 2 hours per week must be set aside for students to work problems in class.

## Course Content (Themes, Concepts, Issues and Skills)

- Functions
- Introduction to Functions
- The Algebra of Functions
- Composite Functions and Inverses
- Linear Functions and Slope (focused on applications)

- Systems of Linear Equations
- Systems of Linear Equations in Two Variables (focused on solving by graphing)
- Applications
- Systems of Linear Equations in more than Two Variables
- Matrix Solutions to Linear Systems
- Characterizing Infinite Solutions

- Linear Inequalities
- Solving Linear Inequalities
- Compound Inequalities
- Equations and Inequalities Involving Absolute Values
- Linear Inequalities in Two Variables

- Polynomials
- General Factoring Strategies
- Polynomial Equations and Their Applications

- Rational Expressions, Functions, and Equations
- The Arithmetic of Rational Expressions
- Complex Rational Expressions
- Long Division and Synthetic Division
- Solving Rational Equations
- Variation and Other Applications

- Radicals, Radical Functions, and Rational Exponents
- Radical Expressions and Functions
- Rational Exponents
- Arithmetic Involving Rational Expressions
- Solving Radical Equations
- Complex Numbers

- Quadratic Equations and Functions
- Square Root Property
- Completing the Square and Quadratic Formula
- Quadratic Functions and Their Graphs
- Equations Quadratic in Form
- Polynomial and Rational Inequalities

## Department Notes

Word problems are to be answered using complete sentences and include appropriate units.