## Description

The **Bittinger Concepts and Applications Program** delivers proven pedagogy, guiding students from skills-based math to the concepts-oriented math required for college courses.

## Table of Contents

**1. Algebra and Problem Solving**

1.1 Some Basics of Algebra

1.2 Operations and Properties of Real Numbers

1.3 Solving Equations

1.4 Introduction to Problem Solving

1.5 Formulas, Models, and Geometry

1.6 Properties of Exponents

1.7 Scientific Notation

**2. Graphs, Functions, and Linear Equations**

2.1 Graphs

2.2 Functions

2.3 Linear Functions: Slope, Graphs, and Models

2.4 Another Look at Linear Graphs

2.5 Equations of Lines and Modeling

2.6 The Algebra of Functions

**3. Systems of Linear Equations and Problem Solving**

3.1 Systems of Equations in Two Variables

3.2 Solving by Substitution or Elimination

3.3 Solving Applications: Systems of Two Equations

3.4 Systems of Equations in Three Variables

3.5 Solving Applications: Systems of Three Equations

3.6 Elimination Using Matrices

3.7 Determinants and Cramer’s Rule

3.8 Business and Economics Applications

**4. Inequalities and Problem Solving**

4.1 Inequalities and Applications

4.2 Intersections, Unions, and Compound Inequalities

4.3 Absolute-Value Equations and Inequalities

4.4 Inequalities in Two Variables

4.5 Applications Using Linear Programming

**5. Polynomials and Polynomial Functions**

5.1 Introduction to Polynomials and Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Common Factors and Factoring by Grouping

5.4 Factoring Trinomials

5.5 Factoring Perfect-Square Trinomials and Differences of Squares

5.6 Factoring Sums or Differences of Cubes

5.7 Factoring: A General Strategy

5.8 Applications of Polynomial Equations

**6. Rational Expressions, Equations, and Functions**

6.1 Rational Expressions and Functions: Multiplying and Dividing

6.2 Rational Expressions and Functions: Adding and Subtracting

6.3 Complex Rational Expressions

6.4 Rational Equations

6.5 Solving Applications Using Rational Equations

6.6 Division of Polynomials

6.7 Synthetic Division and the Remainder Theorem

6.8 Formulas, Applications, and Variation

**7. Exponents and Radicals**

7.1 Radical Expressions and Functions

7.2 Rational Numbers as Exponents

7.3 Multiplying Radical Expressions

7.4 Dividing Radical Expressions

7.5 Expressions Containing Several Radical Terms

7.6 Solving Radical Equations

7.7 The Distance Formula, the Midpoint Formula, and Other Applications

7.8 The Complex Numbers

**8. Quadratic Functions and Equations**

8.1 Quadratic Equations

8.2 The Quadratic Formula

8.3 Studying Solutions of Quadratic Equations

8.4 Applications Involving Quadratic Equations

8.5 Equations Reducible to Quadratic

8.6 Quadratic Functions and Their Graphs

8.7 More About Graphing Quadratic Functions

8.8 Problem Solving and Quadratic Functions

8.9 Polynomial Inequalities and Rational Inequalities

**9. Exponential Functions and Logarithmic Functions**

9.1 Composite Functions and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithmic Functions

9.5 Common Logarithms and Natural Logarithms

9.6 Solving Exponential Equations and Logarithmic Equations

9.7 Applications of Exponential Functions and Logarithmic Functions

**10. Conic Sections**

10.1 Conic Sections: Parabolas and Circles

10.2 Conic Sections: Ellipses

10.3 Conic Sections: Hyperbolas

10.4 Nonlinear Systems of Equations

**11. Sequences, Series, and the Binomial Theorem**

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 The Binomial Theorem
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