Introductory and Intermediate Algebra
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Introductory and Intermediate Algebra: A Combined Approach

Introductory and Intermediate Algebra: A Combined Approach


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About the Book

MathMax: The Bittinger System of Instruction offers a completely integrated package of four-color text, multimedia CD-ROM, interactive tutorial software, and videos that guide students successfully through developmental math with learning objectives keyed to the exposition, exercises, and examples, a hallmark five-step problem-solving process, and current, relevant applications and problems. This first edition, covers both introductory and intermediate algebra topics without the repetition of instruction necessary in two separate texts. It continues the MathMax approach with respect to design, art program, pedagogy, and supplements package. That unique approach, developed and refined over many years, helps students both learn and retain mathematical skills. This text will help today's students through the effective use of full color and updated applications. A comprehensive and well-integrated supplements package accompanies the text providing maximum support for instructors and students alike.

Table of Contents:
1. Introduction to Real Numbers and Algebraic Expressions. Introduction to Algebra. The Real Numbers. Addition of Real Numbers. Subtraction of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Properties of Real Numbers. Simplifying Expressions; Order of Operations. 2. Solving Equations and Inequalities. Solving Equations: The Addition Principles. Solving Equations: The Multiplication Principle. Using the Principles Together. Applications and Problem Solving. Applications with Percents. Formulas. Solving Inequalities. Applications and Problem Solving with Inequalities. 3. Graphs of Equations; Data Analysis. Graphs and Applications. Graphing Linear Equations. More on Graphing Linear Equations. Applications and Data Analysis with Graphs. 4. Polynomials: Operations. Integers as Exponents. Exponents and Scientific Notation. Introduction to Polynomials. Addition and Subtraction of Polynomials. Multiplication of Polynomials. Special Products. Operations with Polynomials in Several Variables. Division of Polynomials. 5. Polynomials: Factoring. Introduction to Factoring. Factoring Trinomials of the Type x2 + bx + c. Factoring ax2 + bx + c, a = 1, Using FOIL. Factoring ax + bx+ c, a = 1 Using Grouping. Factoring Trinomial Squares and Differences of Squares. Factoring : A General Strategy. Solving Quadratic Equations by Factoring. Applications and Problem Solving. 6. Rational Expressions and Equations. Multiplying and Simplifying Rational Expressions. Division and Reciprocals. Least Common Multiples and Denominators. Adding Rational Expressions. Subtracting Rational Expressions. Solving Rational Equations. Applications, Proportions, and Problem Solving. Formulas and Applications. Complex Rational Expressions. 7. Graphs, Functions, and Applications. Graphs of Equations. Functions and Graphs. Finding Domain and Range. Linear Functions: Graphs and Slope. More on Graphing Linear Equations. Finding Equations of Lines. Mathematical Modeling with Linear Functions. 8. Systems of Equations. Systems of Equations in Two Variables. Solving by Substitution or Elimination. Solving Applications: Systems of Two Equations. Systems of Equations in Three Variables. Solving Applications: Systems of Three Equations. Systems of Linear Inequalities in Two Variables. Business and Economic Applications. 9. More on Inequalities. Radical Expressions and Functions. Rational Numbers as Exponents. Simplifying Radical Expressions. Addition, Subtraction, and More Multiplication. More on Division of Radical Expressions. Solving Radical Equations. Applications Involving Powers and Roots. The Complex Numbers. 10. Radical Expressions, Equations, and Functions. The Basics of Solving Quadratic Equations. The Quadratic Formula. Applications Involving Quadratic Equations. More on Quadratic Equations. Graphs of Quadratic Functions of the type (x) = a(x - h)2 + k. Graphs of Quadratic Functions of the type (x) = ax2 + bx + c. Mathematical Modeling With Quadratic Functions. Polynomial and Rational Inequalities. 11. Quadratic Equations and Functions. Exponential Functions. Inverse and Composite Functions. Logarithmic Functions. Properties of Logarithmic Functions. Natural Logarithmic Functions. Solving Exponential and Logarithmic Equations. Mathematical Modeling with Exponential and Logarithmic Functions. 12. Exponential and Logarithmic Functions. Conic Sections: Parabolas and Circles. Conic Sections: Ellipses. Conic Sections: Hyperbolas. APPENDICES. A. Handling Dimension Symbols. B. Determinants and Cramer's Rule. C. Algebra of Functions.


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Product Details
  • ISBN-13: 9780201340204
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Language: English
  • Sub Title: A Combined Approach
  • ISBN-10: 0201340208
  • Publisher Date: 01 Apr 1999
  • Binding: Paperback
  • No of Pages: 928


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Introductory and Intermediate Algebra: A Combined Approach
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Introductory and Intermediate Algebra: A Combined Approach
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