MATH& 144 - Precalculus I and II

1. Solve problems involving an understanding of the concept of a function and the related concepts of domain, range, composition of functions and inverse functions; and demonstrate understanding of these concepts using functions given in graphical, symbolic or numerical form. [REASON]
2. Correctly use mathematical notation and language related to the above concepts. [REASON]
3. Graph a variety of functions and be able to interpret their graphs. [REASON]
4. Formulate and apply properties, graphs and some appropriate applications of linear, polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions. [REASON]
5. Solve equations and inequalities involving the aforementioned functions, both graphically and algebraically. [REASON]
6. Demonstrate how and when to use technology as a tool in solving equations and investigating the behavior of
7. functions and graphs. [REASON]
8. Construct equations and functions involving the aforementioned functions that model situations described in words. [REASON]
9. Use the above abilities to solve word problems and to express solutions clearly. [REASON]
10. Solve problems involving right triangle trigonometry, the law of sines and the law of cosines. [REASON]
11. Distinguish identities from conditional equations, apply trigonometric identities to solve equations, and prove
12. identities algebraically. [REASON]
13. Solve problems involving the main graphical features of conic sections and the relationships between their graphs and equations. [REASON]
14. Solve problems involving unit circle trigonometry. [REASON]