### Course Details

Description

Topics include linear, quadratic, exponential and logarithmic functions and equations; systems of linear equations and inequalities; sequences and series.  The emphasis is on setting up and solving applications of the algebraic material.

Math 18 is designed for students who are required to complete Math 52 only or Math 21 only.  If you are unsure which subsequent transfer level math course you need, you should take Math 20.

Prerequisite

Math 31

Textbook

Martin-Gaye, Elaine, Intermediate Algebra, Upper Saddle River, Pearson, 2009

### Mathematics Skills Associated With This Course

Entry Level Skills

Skills the instructor assumes you know prior to enrollment in this course

Perform basic operations on polynomials.

Factor general trinomials at an elementary level

Solve linear equations in a single variable over the rationals

Solve second degree polynomial equations in a single variable over the rationals by factoring

Simplify square roots.

Solve first degree linear inequalities in a single variable

Solve applications involving equations in a single variable.

Solve linear systems of two equations in two variables

Graph first degree equations/ inequalities in one and two variables

Given the description of a graph of a line, write the equation of the line

Course Objectives

Skills to be learned during this course

• Solve linear inequalities in one and two variables, graph their solution sets, and express the answer in interval notation where appropriate.
• Solve literal equations for a designated variable
• Solve linear, quadratic, exponential and logarithmic equations.
• Solve systems of linear equations using matrix row reduction
• Graph the solution sets of systems of linear inequalities.
• Given its graph, determine whether a relation is a function and whether it is one-to-one, and determine its intercepts and domain and range.
• Graph and determine the domain and range of linear, quadratic, exponential and logarithmic functions.
• Use proper mathematical notation to evaluate functions and obtain their inverses.
• Evaluate simple expressions involving summation notation.
• Determine terms of arithmetic and geometric sequences, and evaluate those series using relevant formulas
• Set up and solve practical applications of the algebraic material.