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Elementary and Intermediate Algebra (4th Edition) by Mark Dugopolski

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Basic Algebra eBooks . We hope mathematician or person who’s interested in mathematics like these books. Elementary and Intermediate Algebra (4th Edition) by Mark Dugopolski . The Dugopolski series in developmental mathematics has helped thousands of students succeed in their developmental math courses. Elementary & Intermediate Algebra, 4e is part of the latest offerings in the successful Dugopolski series in mathematics. In his books, students and faculty will find short, precise explanations of terms and concepts written in clear, understandable language that is mathematically accurate. Dugopolski also includes a double cross-referencing system between the examples and exercise sets, so no matter where the students start, they will see the connection between the two. Finally, the author finds it important to not only provide quality but also a wide variety and quantity of exercises and applications.

Elementary and Intermediate Algebra (4th Edition) by Mark Dugopolski cover the following topics.

• 1. Real Numbers and Their Properties
1.1 The Real Numbers
1.2 Fractions
1.3 Addition and Subtraction of Real Numbers
1.4 Multiplication and Division of Real Numbers
1.5 Exponential Expressions and the Order of Operations
1.6 Algebraic Expressions
1.7 Properties of the Real Numbers
1.8 Using the Properties to Simplify Expressions

• 2. Linear Equations and Inequalities in One Variable
2.1 The Addition and Multiplication Properties of Equality
2.2 Solving General Linear Equations
2.3 More Equations
2.4 Formulas and Functions
2.5 Translating Verbal Expressions into Algebraic Expressions
2.6 Number, Geometric, and Uniform Motion Applications
2.7 Discount, Investment, and Mixture Applications
2.8 Inequalities
2.9 Solving Inequalities and Applications

• 3. Linear Equations in Two Variables and Their Graphs
3.1 Graphing Lines in the Coordinate Plane
3.2 Slope
3.3 Equations of Lines in Slope-Intercept Form
3.4 The Point-Slope Form
3.5 Variation
3.6 Graphing Linear Inequalities in Two Variables

• 4. Exponents and Polynomials
4.1 The Rules of Exponents
4.2 Negative Exponents
4.3 Scientifi c Notation
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication of Polynomials
4.6 Multiplication of Binomials
4.7 Special Products
4.8 Division of Polynomials

• 5. Factoring
5.1 Factoring Out Common Factors
5.2 Special Products and Grouping
5.3 Factoring the Trinomial ax2 + bx + c with a = 1
5.4 Factoring the Trinomial ax2 + bx + c with a ? 1
5.5 Difference and Sum of Cubes and a Strategy
5.6 Solving Quadratic Equations by Factoring

• 6. Rational Expressions
6.1 Reducing Rational Expressions
6.2 Multiplication and Division
6.3 Finding the Least Common Denominator
6.5 Complex Fractions
6.6 Solving Equations with Rational Expressions
6.7 Applications of Ratios and Proportions
6.8 Applications of Rational Expressions

• 7. Systems of Linear Equations
7.1 The Graphing Method
7.2 The Substitution Method
7.4 Systems of Linear Equations in Three Variables

• 8. More on Inequalities
8.1 Compound Inequalities in One Variable
8.2 Absolute Value Equations and Inequalities
8.3 Compound Inequalities in Two Variables
8.4 Linear Programming

• 9. Radicals and Rational Exponents
9.2 Rational Exponents
9.4 Quotients, Powers, and Rationalizing Denominators
9.5 Solving Equations with Radicals and Exponents
9.6 Complex Numbers

• 10. Quadratic Equations, Functions, and Inequalities
10.1 Factoring and Completing the Square

• 11. Functions
11.1 Functions and Relations
11.2 Graphs of Functions and Relations
11.3 Transformations of Graphs
11.4 Graphs of Polynomial Functions
11.5 Graphs of Rational Functions
11.6 Combining Functions
11.7 Inverse Functions

• 12. Exponential and Logarithmic Functions
12.1 Exponential Functions and Their Applications
12.2 Logarithmic Functions and Their Applications
12.3 Properties of Logarithms
12.4 Solving Equations and Applications

• 13. Nonlinear Systems and the Conic Sections
13.1 Nonlinear Systems of Equations
13.2 The Parabola
13.3 The Circle
13.4 The Ellipse and Hyperbola
13.5 Second-Degree Inequalities

• 14. Sequences and Series
14.1 Sequences
14.2 Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
14.5 Binomial Expansions

• Appendix
A Geometry Review Exercises A-1
b Sets
C Chapters 1–6 Diagnostic Test A-8
D Chapters 1–6 Review A-11
Index

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