# 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, use parametric equations, polar coordinates, and complex numbers, including DeMoivre's theorem. Additional topics from algebra will include solving absolute value and quadratic inequalities, solving higher-order polynomials, and using sequences and series. The use of a graphing calculator is required.

### Credits

### Prerequisite

MATH 143 with a grade of C or higher### Hours Weekly

3 hours weekly### Course Objectives

- Communicate mathematical concepts related to pre-calculus topics using appropriate symbols, notation, and vocabulary.
- Identify and implement appropriate technologies to efficiently complete tasks that involve the solving of cross-discipline, mathematically appropriate problems and creating new works to communicate the processes used and solution.
- Analyze, evaluate, justify, and interpret the reasonableness of solutions to precalculus problems.
- Solve application problems modeled by absolute value, quadratic, polynomial, power, and root functions using both analytical and graphical strategies.
- State the rule (equation) of a periodic function given its graph or given the amplitude, period, and phase shift.
- Prove trigonometric identities and solve problems using the basic identities such as sum-and-difference, double angle, and half-angle identities.
- Solve applications that require inverse trigonometric functions with and without a calculator.
- Use analytical and graphical approaches when solving problems involving complex numbers, polar and rectangular coordinates, power equations, and parametric equations.
- Solve problems involving arithmetic and geometric sequences and series.
- Interpret and make predictions using regression equations fitted to a set of data.

### Course Objectives

- Communicate mathematical concepts related to pre-calculus topics using appropriate symbols, notation, and vocabulary.
#### Learning Activity Artifact

- Other (please fill out box below)
- Exams or projects

#### Procedure for Assessing Student Learning

- Scientific Reasoning Rubric

#### Scientific Reasoning

- SR1

- Identify and implement appropriate technologies to efficiently complete tasks that involve the solving of cross-discipline, mathematically appropriate problems and creating new works to communicate the processes used and solution.
#### Learning Activity Artifact

- Other (please fill out box below)
- Projects

#### Procedure for Assessing Student Learning

- Scientific Reasoning Rubric

#### Technological Literacy

- TL1
- TL2

- Analyze, evaluate, justify, and interpret the reasonableness of solutions to precalculus problems.
#### Learning Activity Artifact

- Other (please fill out box below)
- Exams or projects

#### Procedure for Assessing Student Learning

- Technological Literacy Rubric

#### Technological Literacy

- TL1
- TL2

- Solve application problems modeled by absolute value, quadratic, polynomial, power, and root functions using both analytical and graphical strategies.
#### Learning Activity Artifact

- Other (please fill out box below)
- Exams or projects

#### Procedure for Assessing Student Learning

- Scientific Reasoning Rubric

#### Scientific Reasoning

- SR3

- State the rule (equation) of a periodic function given its graph or given the amplitude, period, and phase shift.
#### Scientific Reasoning

- SR1
- SR2

- Prove trigonometric identities and solve problems using the basic identities such as sum-and-difference, double angle, and half-angle identities.
#### Scientific Reasoning

- SR2
- SR1

- Solve applications that require inverse trigonometric functions with and without a calculator.
#### Scientific Reasoning

- SR1
- SR2
- SR3

- Use analytical and graphical approaches when solving problems involving complex numbers, polar and rectangular coordinates, power equations, and parametric equations.
#### Scientific Reasoning

- SR1
- SR2
- SR3

- Solve problems involving arithmetic and geometric sequences and series.
#### Scientific Reasoning

- SR1
- SR2

- Interpret and make predictions using regression equations fitted to a set of data.
#### Scientific Reasoning

- SR3