MATH 1814: College Algebra

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Subject
Mathematics
Credit Hours 4.0 Lecture Hours 4.0 Lab Hours 0.0
Type of Credit
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 - Must be completed prior to taking this course.

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.
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