Mathematics - MATH 113

Course Description

Review of algebraic operations; problem solving strategies; integer and rational exponents; complex numbers; solving equations; function concept; graphs and applications of linear, quadratic, exponential and logarithmic functions; and systems of equations are the topics covered in this course.

Prerequisites

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

Course Competencies

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

• Solve linear and quadratic equations and related applications using one variable.
• Solve equations that are quadratic in form and related applications using one variable.
• Solve radical equations and related applications using one variable.
• Solve rational equations and related applications using one variable.
• Solve exponential and logarithmic equations and related applications using one variable.
• Transform complex fractions into simplest form.
• Transform radical expressions to simplest form.
• Transform expressions with integer and rational exponents to simplest form.
• Solve linear systems of equations algebraically and graphically.
• Translate application problems into a linear system.
• Solve simple and compound linear inequalities in one variable both algebraically and graphically.
• Solve second degree inequalities in one variable both algebraically and graphically.
• Solve first degree inequalities in two variables both algebraically and graphically.
• Solve inequalities and equations containing absolute value both algebraically and graphically.
• Solve applications of functions involving two variables.
• Determine the inverse of a function algebraically or graphically.
• Graph quadratic functions.
• Graph exponential and logarithmic functions.
• Graph circles.

Course Schedule