v. 2.1, 2018

By David Lippman and Melonie Rasmussen

Available from https://www.opentextbookstore.com/precalc/

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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

- Chapter 1: Functions1.1 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 Functions2.1 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 Functions3.1 Power Functions & Polynomial Functions

3.2 Quadratic Functions

3.3 Graphs of Polynomial Functions

3.4 Factor and Remainder Theorem

3.5 Real Zeros of Polynomials

3.6 Complex Zeros

3.7 Rational Functions

3.8 Inverses and Radical Functions - Chapter 4: Exponential and Logarithmic Functions4.1 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 Angles5.1 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 Functions6.1 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 Identities7.1 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 Trigonometry8.1 Non-right Triangles: Law of Sines and Cosines

8.2 Polar Coordinates

8.3 Polar Form of Complex Numbers

8.4 Vectors

8.5 Dot Product

8.6 Parametric Equations - Chapter 9: Conics9.1 Ellipses

9.2 Hyperbolas

9.3 Parabols and Non-Linear Systems

9.4 Conics in Polar Coordinates