MATH& 142 - Precalculus II

1. Demonstrate an understanding of the main graphical features of linear, quadratic, polynomial, exponential, rational and trigonometric functions. [REASON]
2. Solve equations involving the aforementioned functions, both graphically and algebraically. [REASON]
3. Demonstrate an understanding of the relationships between the graphs and equations of the aforementioned functions. [REASON]
4. Construct functions of the aforementioned types to model situations described in words. [REASON]
5. Demonstrate an understanding of function concepts, such as domain, range, composition of functions and inverse functions using the aforementioned functions given in graphical, symbolic and numerical form. [REASON]
6. Express solutions clearly with correct use of mathematical notation and terminology. [REASON]
7. Solve problems involving triangles, using right-triangle trigonometry, the law of sines and the law of cosines. [REASON]
8. Distinguish between identities and conditional equations. [REASON]
9. Apply trigonometric identities to solve equations. [REASON]
10. Prove identities algebraically. [REASON]
11. Use technology to investigate the behavior of the aforementioned functions. [REASON]
12. Demonstrate an understanding of the main graphical features of conic sections and the relationships among their graphs, equations and main graphical features. [REASON]
13. Demonstrate an understanding of unit circle trigonometry. [REASON]