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 polar coordinates, and complex numbers. Additional topics from algebra will include using sequences and series. The use of a graphing calculator is required.
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.
- Calculate the side lengths and angle measures of right and oblique triangles.
- 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 working with complex numbers and polar 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.
This objective is a course Goal Only
Learning Activity Artifact
- Other (please fill out box below)
- Exams or projects
Procedure for Assessing Student Learning
- Scientific Reasoning Rubric
- 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.
This objective is a course Goal Only
Learning Activity Artifact
- Other (please fill out box below)
- Projects
Procedure for Assessing Student Learning
- Scientific Reasoning Rubric
- Analyze, evaluate, justify, and interpret the reasonableness of solutions to precalculus problems.
This objective is a course Goal Only
Learning Activity Artifact
- Other (please fill out box below)
- Exams or projects
Procedure for Assessing Student Learning
- Technological Literacy Rubric
- Calculate the side lengths and angle measures of right and oblique triangles.
This objective is a course Goal Only
Learning Activity Artifact
- Other (please fill out box below)
- Exams or projects
Procedure for Assessing Student Learning
- Scientific Reasoning Rubric
- State the rule (equation) of a periodic function given its graph or given the amplitude, period, and phase shift.
This objective is a course Goal Only
- Prove trigonometric identities and solve problems using the basic identities such as sum-and-difference, double angle, and half-angle identities.
This objective is a course Goal Only
- Solve applications that require inverse trigonometric functions with and without a calculator.
This objective is a course Goal Only
- Use analytical and graphical approaches when working with complex numbers and polar equations.
This objective is a course Goal Only
- Solve problems involving arithmetic and geometric sequences and series.
This objective is a course Goal Only
- Interpret and make predictions using regression equations fitted to a set of data.
This objective is a course Goal Only