Precalculus II
Proposed: June 2020
Course Description
Functions using multiple representations; trigonometric functions, transformations,
compositions, inverses, and combinations of functions; data and modeling, applications.
Prerequisite: MATH 130 with a C or better or placement. Four semester hours.
Student Learning Objectives
By the end of this course, students will be able to:
- Use right triangle trigonometry, circle trigonometry, and basic trigonometric functions
to model and solve meaningful problems
- Prove and use trigonometric identities
- Identify important properties of trigonometric functions
- Solve for missing lengths or angles of oblique triangles
- Use and describe inverse trigonometric functions
- Use appropriate representations to investigate the patterns and relationships present
in trigonometric function types
- Model and solve meaningful problems involving a library of functions and equations
- Construct, use, and describe composition of functions
- Construct, use, and describe inverse of functions
- Construct, use, and describe transformations and operations of functions
Text
Connally, Hughes-Hallett, Gleason, et.al. Functions Modeling Change: A Preparation for Calculus, (Sixth Edition). John Wiley and Sons, New York, 2019.
Grading Procedure
Grading procedures and factors influencing course grade are left to the discretion
of individual instructors, subject to general university policy.
Attendance Policy
Attendance policy is left to the discretion of individual instructors, subject to
general university policy.
Course Outline
- Chapter 6 Transformations of Functions and Their Graphs All Sections (2 weeks)
- Chapter 7 Trigonometry Starting with Circles All Sections (4 weeks)
- Chapter 8 Trigonometry Starting with Triangles All Sections (1 week)
- Chapter 9 Trigonometric Identities, Polar Coordinates, and Complex Numbers Sections 9.1-9.3 (1 week) (Note: Polar Coordinates and Complex Numbers are not included
in these sections.)
- Chapter 10 Compositions, Inverses, and Combinations of Functions
All Sections (2.5 weeks)
- Modeling and Data Fitting of the Family of Functions Including: Sections 11.6-11.7 (1.5 weeks)