Learning Outcomes for College Algebra, MATH 113

Students should be able to

1. Understand basic ideas of Algebra: Expressions, Transforming Expressions, Equations 2. Understand concepts of Function, Equivalent Expressions, Functions and Equations, and Functions and Change 3. Apply concepts of Functions to solve real world problems (Functions and Modeling) 4. Understand Linear Functions, Expressions for Linear Functions, Linear Equations 5. Represent a function(s) graphically 6. Apply concepts of Equations of Lines to solve real world problems (Modeling With Linear

Functions) 7. Understand concepts of Systems of Linear Equations and its applications to solve real world

problems 8. Understand concepts of: Powers Functions, Expressions For Powers Functions, Equations Involving Powers Functions 9. Apply concepts of Power Functions: Modeling With Power Functions 10. Understand concepts of Composition and Decomposition of Functions 11. Understand the concept of: Shifting and Scaling of Functions and their applications to solve the real world problems 12. Understand the concepts of: Quadratic Functions, Quadratic Equations 13. Solve Quadratic Equations by Factoring 14. Understand the concept of: Exponential Function, Interpreting

the Base, Interpreting the Exponent, 15. Solve Exponential Equations, and apply exponential equations to solve real world problems (Modeling With Exponential Functions) 16. Understand the concept of Exponential Functions with Base e 17. Understand the concept of Logarithms 18. Solve Logarithmic Equations using Laws of Logarithms

19. Apply Logarithms (Natural Logs and Logs To Other Bases) to solve real world problems 20. Understand Polynomials, Polynomial Equations, and Long-run Behavior of Polynomial Functions 21. Understand Rational Functions and Long-run Behavior of Rational Functions