Mar 29, 2023
MATH& 144 - Precalculus I and II
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.
Prerequisite Appropriate score on the Math Placement Test and high school precalculus.
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.
- Correctly use mathematical notation and language related to the above concepts.
- Graph a variety of functions and be able to interpret their graphs.
- Formulate and apply properties, graphs, and some appropriate applications of linear, polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions.
- Solve equations and inequalities involving the aforementioned functions, both graphically and algebraically.
- Demonstrate how and when to use technology as a tool in solving equations and investigating the behavior of functions and graphs.
- Construct equations and functions involving the aforementioned functions that model situations described in words.
- Solve problems involving right triangle trigonometry, the law of sines, and the law of cosines.
- Distinguish identities from conditional equations, apply trigonometric identities to solve equations, and prove identities algebraically.
- Solve problems involving the main graphical features of conic sections and the relationships between their graphs and equations.
- Solve problems involving unit circle trigonometry.
- Translate between graphical and algebraic representations, between the Cartesian and parametric representations of equations and graphs, and between polar and rectangular coordinates.
- Recognize and sketch graphs of equations given in polar coordinates.
- Perform vector operations, including vector algebra and dot product.
- Use the above abilities to solve word problems and to express solutions clearly with correct use of mathematical notation and terminology.
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