MATH91: Pre-Calculus Essentials

Course Description

This course teaches the basics of precalculus. Topics are covered in a step by step manner with each topic containing a plethora of examples, visual aids, and practice exercises to assist in the learning process. These topics include algebra fundamentals, linear equations, linear functions, linear inequalities, quadratic functions, polynomials, and rational expressions.

Topic 1 Algebra Fundamentals
  • Number Systems
  • Natural Numbers
  • Whole Numbers
  • Integers
  • Rational Numbers
  • Irrational Numbers
  • Real Numbers
  • Complex Numbers
  • Properties of the Real Numbers
  • Operations on Complex Numbers
Topic 2 Linear Functions and Equations
  • Linear Relations
  • Linear Equations
  • The Graph of a Linear Equation
  • Linear Equations from Two Points
  • The Slope of a Linear Equation
  • The Vertical and Horizontal Intercepts
  • Forms of Linear Equations
  • Parallel and Perpendicular Lines
  • Linear Functions
Topic 3 Linear Inequalities
  • Inequalities
  • Some Real Number Properties
  • Linear Inequalities
  • Graphing Absolute Value Functions
Topic 4 Quadratic Functions
  • Quadratic Functions and Equations
  • Solutions to Quadratic Equations
Topic 5 Polynomials and Rational Expressions
  • Polynomials
  • Adding and Subtracting Polynomials
  • Multiplying Polynomials
  • Dividing Polynomials
  • Factoring Polynomials
  • Partial Fraction Decomposition
  • Rational Expressions