Content Overview
| Course Materials | YES | NO |
| Lumen OHM Questions? | X | |
| Editable Text? | X – Word Doc | |
| Video Support? | X | |
| Written Assessments/ Test? | X – available upon course copy | |
| Workbook? | X |
Text
Written by David Lippman and Melanie Rasmussen. The focus of this course is on the story of functions. The course begins with function notation, a basic toolkit of functions, and the basic operation with functions: composition and transformation. Each family of functions is introduced with it’s important features: graph, domain and range, intercepts, and asymptotes. The exploration then moves to evaluating and solving equations involving the function, finding inverses, and culminates with modeling using the function.
The “rule of four” is integrated throughout – looking at the functions verbally, graphically, numerically, as well as algebraically.
The coursepack contains 8 chapters of content including the following topics:
- Chapter 1: Functions
- 1.1: Functions and Function Notation
- 1.2 Domain and Range
- 1.3 Rates of Change and Behavior of Graphs
- 1.4 Composition of Functions
- 1.5 Transformation of Functions
- 1.6 Inverse Functions
- Chapter 2: Linear Functions
- 2.1 Linear Functions
- 2.2 Graphs of Linear Functions
- 2.3 Modeling with Linear Functions
- 2.4 Fitting Linear Models to Data
- 2.5 Absolute Value Functions
- Chapter 3: Polynomial and Rational Functions
- 3.1 Power Functions & Polynomial Functions
- 3.2 Quadratic Functions
- 3.3 Graphs of Polynomial Functions
- 3.4 Rational Functions
- 3.5 Inverses and Radical Functions
- Chapter 4: Exponential and Logarithmic Functions
- 4.1 Exponential Functions
- 4.2 Graphs of Exponential Functions
- 4.3 Logarithmic Functions
- 4.4 Logarithmic Properties
- 4.5 Graphs of Logarithmic Functions
- 4.6 Exponential and Logarithmic Models
- 4.7 Fitting Exponentials to Data
- Chapter 5: Trigonometric Functions of Angles
- 5.1 Circles
- 5.2 Angles
- 5.3 Points on Circles using Sine and Cosine
- 5.4 The Other Trigonometric Functions
- 5.5 Right Triangle Trigonometry
- Chapter 6: Periodic Functions
- 6.1 Sinusoidal Graphs
- 6.2 Graphs of the Other Trig Functions
- 6.3 Inverse Trig Functions
- 6.4 Solving Trig Equations
- 6.5 Modeling with Trigonometric Equations
- Chapter 7: Trigonometric Equations and Identities
- 7.1 Solving Trigonometric Equations with Identities
- 7.2 Addition and Subtraction Identities
- 7.3 Double Angle Identities
- 7.4 Modeling Changing Amplitude and Midline
- Chapter 8: Further Applications of Trigonometry
- 8.1 Non-right Triangles: Law of Sines and Cosines
- 8.2 Polar Coordinates
- 8.3 Polar Form of Complex Numbers
- 8.4 Vectors
- 8.5 Parametric Equations
- Solutions to Selected Exercises
- Index
Length: Two semesters
Delivery: This course has been taught as a fully online course and as a face to face course.
Online Content
The Lumen OHM coursepack includes readings, online exercises, and video examples for each section in each chapter.
Chapter Detail
Online Assessment
Course Review Access
Follow the link to review the Precalculus and Trigonometry course materials in Lumen OHM. This demo guest-access course does NOT include the full course – the unit quizzes have been hidden. They are available to instructors when they copy the course.