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May 19, 2024
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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
• Manipulate 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

Total Hours: 50 Theory (Lecture) Hours: 50