MATH 1814: College Algebra

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Subject:
Mathematics
Credit hours: 4 Lecture hours: 4 Lab hours: 0
PCS code (Local ID):
Baccalaureate/Transfer
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Course Description

Polynomial, rational, exponential, and logarithmic functions and their graphs are studied in detail. Topics include the algebra of functions, symmetry and transformations, conic sections, equations (linear, absolute value, fractional, quadratic, polynomial, radical, exponential, and logarithmic), inequalities (linear, absolute value, and quadratic), and systems of equations. AAS: Mathematics elective.

Prerequisite(s)

Appropriate assessment score or MATH 1424 with a grade of C or better and completion of geometry requirement (MATH 1453 or one year of high school geometry with a grade of C or better) or High School Transitional Math: STEM pathway

Topical Outline
  1. Factoring Polynomials
  2. Complex Numbers
  3. Quadratic Equations
  4. Applications of Quadratic Equations
  5. Linear, Compound, and Absolute Value Inequalities
  6. More Equations and Applications
  7. Functions and Relations
  8. Linear Equations in Two Variables and Linear Functions
  9. Applications of Linear Equations and Modeling
  10. Transformations of Graphs
  11. Rational Expressions and Functions
  12. Analyzing Graphs of Functions and Piecewise-Defined Functions
  13. Algebra of Functions and Function Composition
  14. Quadratic Functions and Applications
  15. Introduction to Polynomial Functions
  16. Division of Polynomials and the Remainder and Factor Theorems
  17. Zeros of Polynomials
  18. Rational Functions
  19. Polynomial and Rational Inequalities
  20. Inverse Functions
  21. Exponential Functions
  22. Logarithmic Functions
  23. Properties of Logarithms
  24. Exponential and Logarithmic Equations and Applications
  25. Modeling with Exponential and Logarithmic Functions
  26. Circles
  27. Ellipses
  28. Hyperbolas
  29. Systems of Non-Linear Functions

At the end of this course, students will be able to:

  • Find all real and complex solutions for several types of equations and inequalities.
  • Find domains and inverses for functions of one variable.
  • Solve problems involving compound interest, exponential growth and decay, and half-life.
  • Solve systems of non-linear equations.
  • Identify important features of circles, and ellipses, and hyperbolas from their equations.
  • Solve non-linear inequalities in one variable.
  • Evaluate and apply composite functions.
  • Transform Functions using common translation rules.