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Aug 31, 2024
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MATH& 142 - Precalculus II
5.0 Credits Continuation of MATH& 141. Trigonometric and inverse-trigonometric functions, conic sections, parametric equations, polar coordinates, vectors, and applications. Prerequisite MATH& 141 or equivalent with a minimum grade of 2.0 or appropriate placement. Course-level Learning Objectives (CLOs) Upon successful completion of this course, students will be able to:
- Evaluate trigonometric functions at values given in radians or degrees, using both right-angle and unit-circle approaches.
- Identify and communicate important features of trigonometric and inverse trigonometric functions (including domains, ranges, symmetry, periods, and graphs) and important graphical features of conic sections.
- Solve trigonometric equations using trigonometric identities, inverse trigonometric functions, algebra, and technology.
- Prove trigonometric identities.
- 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 parametric representation, trigonometric functions, right-triangle trigonometry, the Law of Sines, the Law of Cosines, and vectors to model situations given in words and to solve applied problems.
- Express solutions clearly with correct use of mathematical notation and terminology.
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