This is an innovative study aid, in the form of a notebook organizer, that helps students develop a section-by-section summary of key concepts.

• Chapter 1 Functions and Their Graphs

1.1 Functions and Their Graphs

1.2 Functions

1.3 Graphs of Functions

1.4 Shifting, Reflecting, and Stretching Graphs

1.5 Combinations of Functions

1.6 Inverse Functions

1.7 Exploring Data: Linear Models and Scatter Plots

• Chapter 2 Polynomial and Rational Functions

2.1 Quadratic Functions

2.2 Polynomial Functions of Higher Degree

2.3 Real Zeros of Polynomial Functions

2.4 Complex Numbers

2.5 The Fundamental Theorem of Algebra

2.6 Rational Functions and Asymptotes

2.7 Graphs of Rational Functions

2.8 Exploring Data: Quadratic Models

• Chapter 3 Exponential and Logarithmic Functions

3.1 Exponential Functions and Their Graphs

3.2 Logarithmic Functions and Their Graphs

3.3 Properties of Logarithms

3.4 Solving Exponential and Logarithmic Equations

3.5 Exponential and Logarithmic Models

3.6 Exploring Data: Nonlinear Models

• Chapter 4 Trigonometric Functions

4.1 Radian and Degree Measure

4.2 Trigonometric Functions: The Unit Circle

4.3 Right Triangle Trigonometry

4.4 Trigonometric Functions of Any Angle

4.5 Graphs of Sine and Cosine Functions

4.6 Graphs of Other Trigonometric Functions

4.7 Inverse Trigonometric Functions

4.8 Applications and Models

• Chapter 5 Analytic Trigonometry

5.1 Using Fundamental Identities

5.2 Verifying Trigonometric Identities

5.3 Solving Trigonometric Equations

5.4 Sum and Difference Formulas

5.5 Multiple-Angle and Product-to-Sum Formulas

• Chapter 6 Additional Topics in Trigonometry

6.1 Law of Sines

6.2 Law of Cosines

6.3 Vectors in the Plane

6.4 Vectors and Dot Products

6.5 Trigonometric Form of a Complex Number

• Chapter 7 Linear Systems and Matrices

7.1 Solving Systems of Equations

7.2 Systems of Linear Equations in Two Variables

7.3 Multivariable Linear Systems

7.4 Matrices and Systems of Equations

7.5 Operations with Matrices

7.6 The Inverse of a Square Matrix

7.7 The Determinant of a Square Matrix

7.8 Applications of Matrices and Determinants

• Chapter 8 Sequences, Series, and Probability

8.1 Sequences and Series

8.2 Arithmetic Sequences and Partial Sums

8.3 Geometric Sequences and Series

8.4 Mathematical Induction

8.5 The Binomial Theorem

8.6 Counting Principles

8.7 Probability

• Chapter 9 Topics in Analytic Geometry

9.1 Introduction to Conics: Parabolas

9.2 Ellipses

9.3 Hyperbolas

9.4 Rotation of Conics

9.5 Parametric Equations

9.6 Polar Coordinates

9.7 Graphs of Polar Equations

9.8 Polar Equations of Conics

• Chapter 10 Analytic Geometry in Three Dimensions

10.1 The Three-Dimensional Coordinate System

10.2 Vectors in Space

10.3 The Cross Product of Two Vectors

10.4 Lines and Planes in Space

• Chapter 11 Limits and an Introduction to Calculus

11.1 Introduction to Limits

11.2 Techniques for Evaluating Limits

11.3 The Tangent Line Problem

11.4 Limits at Infinity and Limits of Sequences

11.5 The Area Problem