Title Intermediate Algebra
Subtitle The Why and the How
Author Mathew Baxter
ISBN 9781516503032
List price USD 94.95
Price outside India Available on Request
Original price
Binding Paperback
No of pages 352
Book size 153 x 229 mm
Publishing year 2018
Original publisher Cognella Academic Publishing (Eurospan Group)
Published in India by .
Exclusive distributors Viva Books Private Limited
Sales territory India, Sri Lanka, Bangladesh, Pakistan, Nepal, .
Status New Arrival
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Description:

Written for students with some previous exposure to algebra, Intermediate Algebra: The Why and the How focuses on explanations of steps and practical advice on how and why things are done in certain ways when solving algebraic equations.

The book begins with the real number system and then moves students through linear equations, lines, equations, and systems, and inequalities. Students also learn to work with polynomials, rational expressions and equations, radicals, and quadratics and functions. Each of the eight chapters is organized into distinct lessons and instruction followed by exercise sets, so that students can master skills at a comfortable pace and build on them successfully. The instructional component emphasizes preparing students for more advanced courses by introducing them to the necessary concepts in an accessible and level-appropriate way.

Intermediate Algebra helps students become comfortable with the small details in math that make a big difference in overall competence and success. Thoughtfully developed with clear instruction and examples, as well as numerous practice opportunities throughout each lesson, the book is well suited to courses in the discipline.

 

Contents:

Chapter 1: The Real Number System • Real Numbers and Their Properties • Real Numbers • Properties of Real Numbers • Section 1.1 Exercises • The Four Basic Operations • Addition and Subtraction • Multiplication and Division • Absolute Value • The Four Operations Together • Section 1.2 Exercises • Order of Operations—PEMDAS • Exponents—A First Look • PEMDAS • Section 1.3 Exercises • Order of Operations—Like Terms and Grouping Symbols • Like Terms • Grouping Symbols • Section 1.4 Exercises • Rules for Exponents • Integer Exponents • Exponent Rules • Section 1.5 Exercises • Using Formulas • Evaluating Expressions • Formulas • Section 1.6 Exercises • Chapter 1 Review

Chapter 2: Linear Equations • Equations with One Variable • One-Sided Equations • Two-Sided Equations • Section 2.1 Exercises • Equations with More than One Variable • Section 2.2 Exercises • : Absolute Value Equations • Section 2.3 Exercises • Applications of Single-Variable Equations • Percent • Problem-Solving • Section 2.4 Exercises • Chapter 2 Review

Chapter 3: Lines, Equations, and Systems • Lines and Their Intercepts • T-Charts • Section 3.1 Exercises • Lines and Their Slopes • Parallel and Perpendicular Lines • Section 3.2 Exercises • Lines and Their Equations • Section 3.3 Exercises • Two-Variable Systems of Linear Equations • Substitution • Elimination • Section 3.4 Exercises • Three-Variable Systems of Linear Equations • Section 3.5 Exercises • Applications of Systems • Section 3.6 Exercises • Chapter 3 Review

Chapter 4: Inequalities • Simple Inequalities • Applications • Section 4.1 Exercises • Compound Inequalities • Section 4.2 Exercises • Absolute Value Inequalities • Section 4.3 Exercises • Linear Inequalities • Vertical and Horizontal Lines • Section 4.4 Exercises •  Systems of Inequalities • Section 4.5 Exercises • Chapter 4 Review

Chapter 5: Polynomials • Operations on Polynomials • Adding and Subtracting Polynomials • Multiplication of Polynomials • Section 5.1 Exercises • Polynomial Long-Division • Long Division • Synthetic Division • Section 5.2 Exercises • Factoring by GCF and Factoring by Grouping • Greatest Common Factor • Factoring by Grouping • Section 5.3 Exercises • Factoring Trinomials • Quadratic Coefficients Equal to 1 • Quadratic Coefficients Not Equal to 1 • The ac-Method • Section 5.4 Exercises • Factoring Completely and Difference of Squares • Sum and Difference of Cubes • Section 5.5 Exercises • Chapter 5 Review

Chapter 6: Rational Expressions and Equations • Multiplying and Dividing Rational Expressions • Multiplication • Division • Section 6.1 Exercises • Adding and Subtracting Rational Expressions • Addition • Subtraction • Section 6.2 Exercises • Rational Equations • Section 6.3 Exercises • Applications and Proportions • Formulas • Word Problems • Section 6.4 Exercises • Chapter 6 Review

Chapter 7: Radicals • Rational Exponents • Section 7.1 Exercises • Radical Expressions • Even Roots • Odd Roots • Section 7.2 Exercises • Adding and Subtracting Radicals • Section 7.3 Exercises • Multiplying and Dividing Radicals • Dividing Radicals • Conjugates • Section 7.4 Exercises • Radical Equations • Section 7.5 Exercises • Complex Numbers • The i Cycle • Multiplication of Complex Numbers • Dividing Complex Numbers • Section 7.6 Exercises • Variation • Section 7.7 Exercises • Chapter 7 Review

Chapter 8: Quadratics and Functions • Solving Quadratic Equations and the Square-Root Property • Equations of the Form ax2 • + bx + c = 0 or ax2 • + bx = 0 • A Note about Radical Equations • Section 8.1 Exercises • Completing the Square and Factoring • Factors and Quadratics in Other Forms • Section 8.2 Exercises • The Quadratic Formula • The Discriminant • Section 8.3 Exercises • Functions • Domain of a Function • Different Ways to Represent a Function • Section 8.4 Exercises • Quadratic Functions • Section 8.5 Exercises • Quadratic Inequalities • Section 8.6 Exercises • Chapter 8 Review


About the Author:

Mathew Baxter earned his Ph.D. in mathematics at the University of Central Florida. Dr. Baxter is currently a faculty member at Florida Gulf Coast University, where he has taught introduction to statistics, intermediate algebra, pre-calculus and calculus, and the history of math. He has served as a reviewer for Abstract and Applied Analysis, Mathematical Problems in Engineering, and Applied Mathematics and Computation, and his own professional writing has appeared in journals such as Physica Scripta, Mathematical Methods in the Applied Sciences, and the Journal of Mathematical Physics.


Target Audience:

The book is intended for students and academicians of Mathematics.

 

 
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