MATH& 144 - Precalculus I and II

5.0 Credits
An intensive refresher course in precalculus topics intended for students who plan to take the calculus sequence beginning with MATH& 151. Combines all topics of MATH& 141 and MATH& 142. Graphing calculator required. Prerequisite: Appropriate score on the Math Placement Test and high school precalculus or equivalent.

Course-level Learning Objectives (CLOs)
Upon successful completion of this course, students will be able to:

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]
Correctly use mathematical notation and language related to the above concepts. [REASON]
Graph a variety of functions and be able to interpret their graphs. [REASON]
Formulate and apply properties, graphs and some appropriate applications of linear, polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions. [REASON]
Solve equations and inequalities involving the aforementioned functions, both graphically and algebraically. [REASON]
Demonstrate how and when to use technology as a tool in solving equations and investigating the behavior of functions and graphs. [REASON]
Construct equations and functions involving the aforementioned functions that model situations described in words. [REASON]
Use the above abilities to solve word problems and to express solutions clearly. [REASON]
Solve problems involving right triangle trigonometry, the law of sines and the law of cosines. [REASON]
Distinguish identities from conditional equations, apply trigonometric identities to solve equations, and prove
identities algebraically. [REASON]
Solve problems involving the main graphical features of conic sections and the relationships between their graphs and equations. [REASON]
Solve problems involving unit circle trigonometry. [REASON]