Beginning and Intermediate Algebra with Applications & Visualization

Beginning and Intermediate Algebra with Applications & Visualization, 4th edition

  • Gary K. Rockswold, 
  • Terry A. Krieger

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Overview

Beginning and Intermediate Algebra with Applications and Visualization lets you see the concept in context. By making math part of your own experience instead of memorizing techniques, you deepen conceptual understanding and better prepare for future math courses and life.

Published by Pearson (January 1st 2021) - Copyright © 2018

ISBN-13: 9780137442676

Subject: Developmental Math

Category: Combo: Elementary & Intermediate

Table of contents

1. Introduction to Algebra
1.1 Numbers, Variables, and Expressions
1.2 Fractions
1.3 Exponents and Order of Operations
1.4 Real Numbers and the Number Line
1.5 Addition and Subtraction of Real Numbers
1.6 Multiplication and Division of Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying and Writing Algebraic Expressions

2. Linear Equations and Inequalities
2.1 Introduction to Equations
2.2 Linear Equations
2.3 Introduction to Problem Solving
2.4 Formulas
2.5 Unit Analysis
2.6 Linear Inequalities

3. Graphing Equations
3.1 Introduction to Graphing
3.2 Equations in Two Variables
3.3 Intercepts; Horizontal and Vertical Lines
3.4 Slope and Rates of Change
3.5 Slope-Intercept Form
3.6 Point-Slope Form
3.7 Introduction to Modeling

4. Systems of Linear Equations in Two Variables
4.1 Solving Systems of Linear Equations Graphically and Numerically
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Elimination
4.4 Systems of Linear Inequalities

5. Polynomials and Exponents
5.1 Rules for Exponents
5.2 Addition and Subtraction of Polynomials
5.3 Multiplication of Polynomials
5.4 Special Products
5.5 Integer Exponents and the Quotient Rule
5.6 Division of Polynomials

6. Factoring Polynomials and Solving Equations
6.1 Introduction to Factoring
6.2 Factoring Trinomials I (x2 + bx + c)
6.3 Factoring Trinomials II (ax2 +bx + c)
6.4 Special Types of Factoring
6.5 Summary of Factoring
6.6 Solving Equations by Factoring I (Quadratics)
6.7 Solving Equations by Factoring II (Higher Degree)

7. Rational Expressions
7.1 Introduction to Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction with Like Denominators
7.4 Addition and Subtraction with Unlike Denominators
7.5 Complex Fractions
7.6 Rational Equations and Formulas
7.7 Proportions and Variation

8. Introduction to Functions
8.1 Functions and Their Representations
8.2 Linear Functions
8.3 Compound Inequalities and Piecewise-Defined Functions
8.4 Other Functions and Their Properties
8.5 Absolute Value Equations and Inequalities

9. Systems of Linear Equations
9.1 Systems of Linear Equations in Three Variables
9.2 Matrix Solutions of Linear Systems
9.3 Determinants

10. Radical Expressions and Functions
10.1 Radical Expressions and Functions
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Operations on Radical Expressions
10.5 More Radical Functions
10.6 Equations Involving Radical Expressions
10.7 Complex Numbers

11. Quadratic Functions and Equations
11.1 Quadratic Functions and Their Graphs
11.2 Transformations and Translations of Parabolas
11.3 Quadratic Equations
11.4 The Quadratic Formula
11.5 Quadratic Inequalities
11.6 Equations in Quadratic Form

12. Exponential and Logarithmic Functions
12.1 Composite and Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithms
12.5 Exponential and Logarithmic Equations

13. Conic Sections
13.1 Parabolas and Circles
13.2 Ellipses and Hyperbolas
13.3 Nonlinear Systems of Equations and Inequalities

14. Sequences and Series
14.1 Sequences
14.2 Arithmetic and Geometric Sequences
14.3 Series
14.4 The Binomial Theorem

Appendix A. Using the Graphing Calculator
Appendix B. Sets
Appendix C. Linear Programming
Appendix D. Synthetic Division

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