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Dec 05, 2020
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# MATH& 142 Pre-Calculus II

5 credits
This course includes the study of the properties, graphs, and applications of the trigonometric functions and their inverses, as well as a brief introduction to polar coordinates and vectors.

Prerequisites: MATH& 141

Course Outcomes
Upon successful completion of this course students will be able to:

• Measure angles in degrees and radians and relate them to arc length
• Identify reference angles and coterminal angles
• Solve applied problems involving arc length, linear/angular speed, and the area of a circular sector
• Link the graphical, numeric, and symbolic definitions of the trigonometric functions in terms of the unit circle
• Solve problems involving right triangles and unit circles using the definitions of the trigonometric functions
• Apply the law of sines and law of cosines to solve for unknown sides and angles of triangles, and solve applied problems associated with these laws
• Graph the trigonometric functions and their transformations
• Identify key features including amplitude, period, and horizontal shifts from a graph, formula, table, or verbal description
• Use trigonometric functions to model periodic behavior described numerically or verbally
• Use the inverse trigonometric functions to solve equations
• Prove trigonometric identities and use identities to algebraically solve trigonometric equations
• Perform operations with vectors and use them to solve problems both graphically and component-wise
• Relate coordinates in polar form to coordinates in rectangular form
• Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language
• Use exact and approximate solutions when appropriate
• Use problem solving skills, pattern recognition, substitution, structural rules, and quantitative modeling to solve problems involving trigonometric functions, vectors, and alternative coordinate systems

Global Outcomes
This course teaches to the global outcome of critical thinking.

Total Hours: 50 Lecture Hours: 50