MATH 153 Precalculus II

Includes basic trigonometry and its applications, with an emphasis on modeling with functions and other algebraic skills necessary for the study of calculus. A graphical approach is utilized throughout, with an emphasis on solving application problems. The unit circle approach to trigonometry forms the basis for learning how to use trigonometric identities, solve trigonometric equations, graph and use properties of the trigonometric functions and their inverses, and use polar coordinates. Additional topics from algebra will include using sequences and series. The use of a graphing calculator is required.

Credits

3

Prerequisite

MATH 143 with a grade of C or higher

Hours Weekly

3

Course Objectives

1. Apply knowledge of trigonometric functions and fundamental identities to evaluate or simplify trigonometric expressions, solve trigonometric equations, and verify new identities.
2. Graph sine, cosine, and other trigonometric functions, identify key features such as amplitude, period, phase shift, and vertical shift, and derive the equations of these functions from their graphs.
3. Calculate the side lengths and angle measures of right and oblique triangles, and use these strategies to solve application problems involving triangles.
4. Plot points and graph equations in the polar coordinate system, and translate points and equations between polar and rectangular form.
5. Analyze and solve problems involving arithmetic and geometric sequences and series and understand properties of summations and sigma notation.

Course Objectives

1. Apply knowledge of trigonometric functions and fundamental identities to evaluate or simplify trigonometric expressions, solve trigonometric equations, and verify new identities.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Quantitative Reasoning

   • QR3
2. Graph sine, cosine, and other trigonometric functions, identify key features such as amplitude, period, phase shift, and vertical shift, and derive the equations of these functions from their graphs.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Quantitative Reasoning

   • QR2
3. Calculate the side lengths and angle measures of right and oblique triangles, and use these strategies to solve application problems involving triangles.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Quantitative Reasoning

   • QR4
4. Plot points and graph equations in the polar coordinate system, and translate points and equations between polar and rectangular form.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Quantitative Reasoning

   • QR1
5. Analyze and solve problems involving arithmetic and geometric sequences and series and understand properties of summations and sigma notation.

   This objective is a course Goal Only