Mathematics
Mathematics & Statistics 2011 - Mcgraw-hill.com.sg
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Developmental <strong>Mathematics</strong><br />
INTERMEDIATE ALGEBRA<br />
2nd Edition<br />
by Julie Miller, Daytona State College-Daytona Beach, Molly O’Neill,<br />
Daytona State College-Daytona Beach, and Nancy Hyde<br />
2010 (January 2009) / Softcover / 992 pages<br />
ISBN: 9780077281113<br />
ISBN: 9780077304256 [Alternate Edition hardcover]<br />
www.mhhe.com/moh<br />
Intermediate Algebra offers a refreshing approach to the traditional<br />
content of the course. Presented in worktext format, Intermediate Algebra<br />
offers a review of problem solving, solving equations in two and<br />
three variables, a chapter devoted to functions, polynomials, radicals<br />
and complex numbers, factoring and quadratic functions, rational<br />
expressions, and inequalities. Other topics include exponential and<br />
<br />
sion and insight of its experienced author team with features devel-<br />
<br />
CONTENTS<br />
Chapter 1 Review of Basic Algebraic Concepts<br />
1.1 Sets of Number and Interval Notation<br />
1.2 Operation on Real Numbers<br />
1.3 Simplifying Expressions<br />
1.4 Linear Equations in One Variable--Problem Recognition Exercises:<br />
Expressions and Equations<br />
1.5 Applications of Linear Equations in One Variable<br />
1.6 Literal Equations and Applications to Geometry<br />
1.7 Linear Inequalities in One Variable<br />
1.8 Properties of Integer Exponents and Scientific Notation<br />
Chapter 2 Graphing Linear Equations and Functions<br />
2.1 Linear Equations in Two Variables<br />
2.2 Slope of a Line--Problem Recognition Exercises: Intercepts and<br />
Slope<br />
2.3 Equations of a Line<br />
2.4 Application of Linear Equations and Modeling<br />
2.5 Introduction to Relations<br />
2.6 Introduction to Functions<br />
2.7 Graphs of Basic Functions<br />
Chapter 3 Systems of Linear Equations<br />
3.1 Solving Systems of Linear Equations by Graphing<br />
3.2 Solving Systems of Linear Equations by Using the Substitution<br />
Method<br />
3.3 Solving Systems of Linear Equations by Using the Addition<br />
Method-- Problem Recognition Exercises: Method of Solving Systems<br />
of Equations<br />
3.4 Applications of Systems of Linear Equations in Two Variables<br />
3.5 Systems of Linear Equations in Three Variables and Applications<br />
3.6 Solving Systems of Linear Equations by Using Matrices<br />
Chapter 4 Polynomials<br />
4.1 Addition and Subtraction of Polynomials and Polynomial Functions.<br />
4.2 Multiplication of Polynomials<br />
4.3 Division of Polynomials--Problem Recognition Exercises: Operations<br />
on Polynomials<br />
4.4 Greatest Common Factor and Factoring by Grouping<br />
4.5 Factoring Trinomials<br />
4.6 Factoring Binomials<br />
4.7 Additional Factoring Strategies<br />
4.8 Solving Equations by Using the Zero Product Rule<br />
Chapter 5 Rational Expressions and Rational Equations<br />
5.1 Rational Expressions and Rational Functions<br />
5.2 Multiplication and Division of Rational Expressions<br />
5.3 Addition and Subtraction of Rational Expressions<br />
5.4 Complex Fractions--Problem Recognition Exercises: Simplifying<br />
Rational Expressions<br />
5.5 Solving Rational Equations--Problem Recognition Exercises:<br />
Rational Expressions and Equations<br />
5.6 Applications of Rational Equations and Proportions<br />
5.7 Variation<br />
Chapter 6 Radicals and Complex Numbers<br />
6.1 Definition of an nth-Root<br />
6.2 Rational Exponents<br />
6.3 Simplifying Radical Expressions<br />
6.4 Addition and Subtraction of Radicals<br />
6.5 Multiplication of Radicals--Problem Recognition Exercises: Operations<br />
on Radical Expressions<br />
6.6 Rationalization<br />
6.7 Solving Radical Equations<br />
6.8 Complex Numbers<br />
Chapter 7 Quadratic Equations and Functions<br />
7.1 Square Root Property and Completing the Square<br />
7.2 Quadratic Formula<br />
7.3 Equations in Quadratic Form--Problem Recognition Exercises:<br />
Recognizing Equation Types<br />
7.4 Graphs of Quadratic Functions<br />
7.5 Applications of Quadratic Functions and Modeling<br />
Chapter 8 More Equations and Inequalities<br />
8.1 Compound Inequalities<br />
8.2 Polynomial and Rational Inequalities<br />
8.3 Absolute Value Equations<br />
8.4 Absolute Value Inequalities--Problem Recognition Exercises:<br />
Equations and Inequalities<br />
8.5 Linear Inequalities in Two Variables<br />
Chapter 9 Exponential and Logarithmic Functions<br />
9.1 Algebra and Composition of Functions<br />
9.2 Inverse Functions<br />
9.3 Exponential Functions<br />
9.4 Logarithmic Functions<br />
9.5 Properties of Logarithms<br />
9.6 The Irrational Number e--Problem Recognition Exercises: Logarithmic<br />
and Exponential Forms<br />
9.7 Exponential and Logarithmic Equations<br />
Chapter 10 Conic Sections<br />
10.1 Distance Formula, Midpoint, and Circles<br />
10.2 More of the Parabola<br />
10.3 The Ellipse and Hyperbola--Problem Recognition Exercises:<br />
Identifying and Graphing Conic Sections<br />
10.4 Nonlinear Systems of Equations in Two Variables<br />
10.5 Nonlinear Inequalities and System if Inequalities<br />
Additional Topics Appendix<br />
A.1 Binomial Expansions<br />
A.2 Determinants and Cramer’s Rule<br />
A.3 Sequences and Series<br />
A.4 Arithmetic and Geometric Sequences and Series<br />
INTERMEDIATE ALGEBRA<br />
3rd Edition<br />
by Ignacio Bello, University Of South Florida-Tampa, and Fran Hopf,<br />
University Of South Florida-Tampa<br />
2009 / Paper / 960 pages<br />
ISBN: 9780077224806<br />
www.mhhe.com/bello<br />
Intermediate Algebra prepares students for further courses in the college<br />
math curriculum. Students of all backgrounds will be delighted to<br />
<br />
out to diverse demographics. Through down-to-earth explanations,<br />
patient skill-building, and exceptionally interesting and realistic applications,<br />
this worktext will empower students to learn and master<br />
algebra in the real world.<br />
CONTENTS<br />
Chapter 1: The Real Numbers<br />
1.1 Numbers and Their Properties<br />
1.2 Operations and Properties of Real Numbers<br />
1.3 Properties of Exponents<br />
1.4 Algebraic Expressions and the Order of Operations<br />
Chapter 2: Linear Equations and Inequalities<br />
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