Addison-Wesley / Prentice Hall

Mathematics

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Elementary and Intermediate Algebra
Tom Carson, Columbia State Community College
Ellyn Gillespie, Midlands Technical College
Bill E. Jordan, Seminole Community College

ISBN-10: 0201729628
ISBN-13: 9780201729627

Publisher: Addison-Wesley
Copyright: 2005
Format: Cloth; 1272 pp
Status: Out of Print

Suggested retail price: $140.00
This item is out of print and is no longer available for purchase.



Elementary and Intermediate Algebra is a book for the student. The authors' goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental students often have never developed nor applied a study system in mathematics. To address these needs, the authors have framed three goals for Elementary and Intermediate Algebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm.

The authors' writing style is extremely student friendly. They talk to students in their own language and walk them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the "monkey-see, monkey-do" approach that some books take.

  • Study System A study system presented in the To the Student section in the front of the text is reinforced as students progress through the book through the use of color coding for taking notes and Learning Strategy boxes. The color codes are consistent in the text itself: red for definitions, blue for procedures, rules, and things to remember, and black for notes and examples.
  • Learning Styles A Learning Styles Inventory is presented at the very beginning of the text to help students assess their particular style of learning. Throughout the text, students will see Learning Strategy boxes that serve as reminders that tactile, visual, and auditory learners all learn and retain material in different ways, so they should make every effort to utilize a variety of methods until they grasp the concept at hand.
  • Learning Strategies Learning Strategy boxes appear where appropriate in the text to offer advice on how to effectively use the study system and how to study specific topics based on the student's individual learning style.
  • Algebra Pyramid An Algebra Pyramid is used throughout the text to help students see how the topic they are working on relates within the big picture of algebra—particularly focusing on how constants and variables relate to expressions and equations. This is an overarching concept that is rarely touched on in other books.
  • Chapter Openers Like the Algebra Pyramid, the openers are designed to help students see how the topics in the upcoming chapter relate to the big picture of the entire course. The chapter openers highlight the importance of the topics in the chapter and how they fit into the overall structure of the course.
  • Connections Connection boxes are designed to bridge concepts and ideas that students have learned elsewhere in the text so they see how the concepts are interrelated and build on each other.
  • Your Turn Practice Exercises Your Turn practice exercises, found after most examples, give students an interactive learning environment and prepare them for the exercise sets that lie ahead. Answers are provided on the same page so students can assess their progress immediately.
  • Annotated Instructor's Edition The Annotated Instructor's Edition provides an abundance of helpful information for instructors in the form of just-in-time teaching tips and answers to exercises right next to the corresponding exercise where possible. Challenge exercises are indicated only in the AIE so instructors can assign homework accordingly without causing anxiety for the students.
  • Problem-Solving Outline A 5-step problem-solving outline is introduced near the beginning of the text. The steps are understand, plan, execute, answer, and check. Every application example throughout the rest of the text follows the steps given in this outline in order to model the problem-solving process clearly.
  • Warning Boxes Warning boxes alert students to common mistakes and false assumptions they often make and explain why these are incorrect.
  • Of Interest Of Interest boxes are positioned throughout the text to offer a unique flavor to content that some students might otherwise consider ho-hum mathematics. Sometimes containing trivia and other times historical notes, Of Interest boxes are designed to enhance the learning process by making concepts fun and interesting.
  • Puzzle Problems These mathematical brainteasers appear at the end of selected exercise sets to encourage creative and critical thinking. These problems often have no formulaic approach to their solution.
  • Collaborative Exercises One to two collaborative exercises appear per chapter. These exercises encourage students to work in groups and use the topics in a particular section or sections to solve a problem. These exercises are designed to encourage classroom discussion and collaboration.
  • Calculator Tips The relevant functions of calculators (scientific or graphing, depending on the topic) are explained and illustrated throughout the text in optional Calculator Tips. In addition, an occasional calculator icon in the exercise sets indicates that the problem can be solved using a calculator, but a calculator is not required.
  • Review Exercises Since continuous review is important in any mathematics course, this text includes review exercises at the end of each exercise set. These exercises review previously learned concepts not only to keep the material fresh for students, but also to serve as a foundational review for the discussion in the next section.
  • End of Chapter An extremely thorough summary at the end of each chapter provides defined key terms referenced by section and page number, a two-column summary of key examples, review exercises of varying types, a practice test, and a cumulative review for Chapters 3, 6, 9, and 13.

(Note: Each Chapter ends with a Summary, Review Exercises and Practice Test. Chapters 3, 6, 9, and 13 also end with a Cumulative Review.).

1. Foundations of Algebra.

Number Sets and the Structure of Algebra.

Fractions.

Adding and Subtracting Real Numbers; Properties of Real Numbers.

Multiplying and Dividing Real Numbers; Properties of Real Numbers.

Exponents, Roots, and Order of Operations.

Translating Word Phrases to Expressions.

Evaluating and Rewriting Expressions.



2. Solving Linear Equations and Inequalities.

Equations, Formulas, and the Problem-Solving Process.

The Addition Principle.

The Multiplication Principle.

Applying the Principles to Formulas.

Translating Word Sentences to Equations.

Solving Linear Inequalities.



3. Problem Solving.

Ratios and Proportions.

Percents.

Problems with Two or More Unknowns.

Rates.

Investment and Mixture.



4. Graphing Linear Equations and Inequalities.

The Rectangular Coordinate System.

Graphing Linear Equations.

Graphing Using Intercepts.

Slope-Intercept Form.

Point-Slope Form.

Graphing Linear Inequalities.

Introduction to Functions and Function Notation.



5. Polynomials.

Exponents and Scientific Notation.

Introduction to Polynomials.

Adding and Subtracting Polynomials.

Exponent Rules and Multiplying Monomials.

Multiplying Polynomials; Special Products.

Exponent Rules and Dividing Polynomials.



6. Factoring.

Greatest Common Factor and Factoring by Grouping.

Factoring Trinomials of the Form x² + bx + c.

Factoring Trinomials of the Form ax² + bx + c, where a ` 1.

Factoring Special Products.

Strategies for Factoring.

Solving Quadratic Equations by Factoring.

Graphs of Quadratic Equations and Functions.



7. Rational Expressions and Equations.

Simplifying Rational Expressions.

Multiplying and Dividing Rational Expressions.

Adding and Subtracting Rational Expressions with the Same Denominator.

Adding and Subtracting Rational Expressions with Different Denominators.

Complex Rational Expressions.

Solving Equations Containing Rational Expressions.

Applications with Rational Expressions.



8. More on Inequalities, Absolute Value, and Functions.

Compound Inequalities.

Equations Involving Absolute Value.

Inequalities Involving Absolute Value.

Functions and Graphing.

Function Operations.



9. Systems of Equations.

Solving Systems of Linear Equations Graphically.

Solving Systems of Linear Equations by Substitution.

Solving Systems of Linear Equations by Elimination.

Solving Systems of Linear Equations in Three Variables.

Solving Systems of Linear Equations Using Matrices.

Cramer's Rule.

Solving Systems of Linear Inequalities.



10. Rational Exponents, Radicals, and Complex Numbers.

Radical Expressions and Functions.

Rational Exponents.

Multiplying, Dividing, and Simplifying Radicals.

Adding, Subtracting, and Multiplying Radical Expressions.

Rationalizing Numerators and Denominators of Radical Expressions.

Radical Equations and Problem Solving.

Complex Numbers.



11. Quadratic Equations.

Completing the Square.

Solving Quadratic Equations Using the Quadratic Formula.

Solving Equations That Are Quadratic in Form.

Graphing Quadratic Functions.

Solving Nonlinear Inequalities.



12. Exponential and Logarithmic Functions.

Composite and Inverse Functions.

Exponential Functions.

Logarithmic Functions.

Properties of Logarithms.

Common and Natural Logarithms.

Exponential and Logarithmic Equations with Applications.



13. Conic Sections.

The Parabola and the Circle.

Ellipses and Hyperbolas.

Nonlinear Systems of Equations.

Nonlinear Inequalities and Systems of Inequalities.



Appendix A.

Arithmetic Sequences and Series.



Appendix B.

Geometric Sequences and Series.



Appendix C.

The Binomial Theorem.



Appendix D.

Permutations and Combinations.



Appendix E.

Probability.

    This student-focused text addresses individual learning styles through the use of a complete study system that starts with a learning styles inventory and presents targeted learning strategies designed to guide students toward success in this and future college-level courses.

     

    Students who approach math with trepidation will find that Elementary and Intermediate Algebra, Second Edition, builds competence and confidence. The study system, introduced at the outset and used consistently throughout the text, transforms the student experience by applying time-tested strategies to the study of mathematics. Learning strategies dovetail nicely into the overall system and build on individual learning styles by addressing students’ unique strengths. The authors talk to students in their own language and walk them through the concepts, showing students both how to do the math and the reasoning behind it. Tying it all together, the use of the Algebra Pyramid as an overarching theme relates specific chapter topics to the ‘big picture’ of algebra.

  • 0321368541Elementary and Intermediate Algebra, 2/E
    Carson, Gillespie & Jordan
    © 2007 | Addison-Wesley | Cloth; 1264 pages | Instock
    ISBN-10: 0321368541 | ISBN-13: 9780321368546
    Brief Description | Buy from myPearsonStore

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For Beginning & Intermediate Algebra (Combined Books)


  • Trigonometry, 2/E
    Beecher, Penna & Bittinger
    © 2008 | Addison-Wesley | Paper; 272 pages | Instock
    ISBN-10: 0321536304 | ISBN-13: 9780321536303


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