Precalculus plus Integrated Review, 3rd Edition

0.1 How to Read a Math Textbook

0.2 Tips for Success in a Math Course

0.3 Tips for Improving Math Test Scores

0.4 Practice, Patience, and Persistence!

0.5 Note Taking

0.6 Do I Need a Math Tutor?

0.7 Tips for Improving Your Memory

0.8 Overcoming Anxiety

0.9 Online Resources

0.10 Preparing for a Final Math Exam

0.11 Managing Your Time Effectively

1.R.1 Exponents, Prime Numbers, and LCM

1.R.2 Multiplication and Division with Fractions

1.R.3 Addition and Subtraction with Fractions

1.R.4 Proportions

1.R.5 Decimals, Fractions, and Percents

1.R.6 The Real Number Line and Absolute Value

1.R.7 Addition with Real Numbers

1.R.8 Subtraction with Real Numbers

1.R.9 Multiplication and Division with Real Numbers

1.1 Real Numbers and Algebraic Expressions

1.2 Properties of Exponents and Radicals

1.3 Polynomials and Factoring

1.4 Rational Expressions

1.5 Complex Numbers

1.6 Linear Equations in One Variable

1.7 Linear Inequalities in One Variable

1.8 Polynomial and Polynomial-Like Equations in One Variable

1.9 Rational and Radical Equations in One Variable

2.R.1 Formulas in Geometry

2.R.2 Square Roots and the Pythagorean Theorem

2.R.3 Evaluating Radicals

2.R.4 Simplifying Radicals

2.R.5 Introduction to the Cartesian Coordinate System

2.R.6 Solving Linear Equations: ax + b = c

2.R.7 Solving Linear Equations: ax + b = cx + d

2.R.8 Solving Linear Inequalities in One Variable

2.R.9 Solving Radical Equations

3.R.1 Introduction to Functions and Function Notation

3.R.2 Translating English Phrases and Algebraic Expressions

3.R.3 Applications: Number Problems and Consecutive Integers

3.R.4 Greatest Common Factor (GCF) and Factoring by Grouping

3.R.5 Factoring Trinomials: x^2 + bx + c

3.R.6 Factoring Trinomials: ax^2 + bx + c

3.R.7 Review of Factoring Techniques

3.R.8 Solving Quadratic Equations by Factoring

3.R.9 Multiplication and Division with Complex Numbers

3.R.10 Quadratic Equations: The Quadratic Formula

4.R.1 Order of Operations with Real Numbers

4.R.2 Simplifying and Evaluating Algebraic Expressions

4.R.3 Multiplication with Polynomials

4.R.4 Division with Polynomials

4.R.5 Introduction to Rational Expressions

4.R.6 Multiplication and Division with Rational Expressions

4.R.7 Simplifying Complex Fractions

8.1 Fundamental Trigonometric Identities

8.2 Sum and Difference Identities

8.3 Product-Sum Identities

8.4 Trigonometric Equations

9.1 The Law of Sines

9.2 The Law of Cosines

9.3 Polar Coordinates and Polar Equations

9.4 Parametric Equations

9.5 Trigonometric Form of Complex Numbers

9.6 Vectors in the Cartesian Plane

9.7 The Dot Product

9.8 Hyperbolic Functions

11.1 Solving Systems of Linear Equations by Substitution and Elimination

11.2 Matrix Notation and Gauss-Jordan Elimination

11.3 Determinants and Cramer's Rule

11.4 Basic Matrix Operations

11.5 Inverses of Matrices

11.6 Partial Fraction Decomposition

11.7 Systems of Linear Inequalities and Linear Programming

11.8 Systems of Nonlinear Equations and Inequalities

12.1 Sequences and Series

12.2 Arithmetic Sequences and Series

12.3 Geometric Sequences and Series

12.4 Mathematical Induction

12.5 Combinatorics

12.6 Probability

13.1 Rates of Change and Tangents

13.2 Limits in the Plane

13.3 The Mathematical Definition of Limit

13.4 Determining Limits of Functions

13.5 Continuity

13.6 The Derivative