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College Algebra

About This Course

Course Description: The concepts studied in college algebra form a bedrock for a deeper mathematical understanding. Throughout this course, students will develop their critical thinking skills as they demonstrate an ability to analyze and devise solutions to problems relevant to this level of mathematics. In this course, students will become familiar with the properties of various basic functions, such as polynomials, rational expressions, radicals, logarithmic, and exponentials. Students will study various strategies for identifying the roots of different functions in detail. Students will discuss graphing techniques. Students will be able to identify exponential and logarithmic functions and become familiar with their applications.

Course Information

Course Topics

  • Function Notations
  • Domains, Co-Domain, Range
  • Function Types
    • Onto [Surjective]
    • One-To-One [Injective]
    • One-To-One Correspondence [Bijective]
    • Compositions

Properties of Exponents

  • Symbolical Solutions
  • Proportionality
    • Directly Proportional
    • Indirectly Proportiona
  • Distribution Property
  • Grouping Terms
  • Binomials and Trinomials
  • Special Forms
  • Completing the Square
  • The Quadratic Formula
  • Quadratic Forms
  • Inequalities
  • Graphing
  • Applications: Max and Min
  • Fundamental Theorem of Algebra
  • Rational Roots Theorem
  • Inequalities
  • The Basics of Complex Numbers
  • Radical, Rational, Polynomials
  • Zero-Factor Property
  • Graphing Equations
  • Exponential Equations
  • Logarithmic Equations

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