Intermediate Algebra (with CD-ROM and Printed Access Card Enhanced iLrn' Math Tutorial, iLrn' Math Tutorial, The Learning Equation Labs, Student Resource Center)

Alan Tussy, R. David Gustafson (Autoren)

Media-Kombination

784 Seiten

2005 | 3rd Revised edition
Brooks/Cole
9780534493943 (ISBN)

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The fundamental goal in Tussy and Gustafson's INTERMEDIATE ALGEBRA, Third Edition is to teach students to read, write, and think about mathematics through building a conceptual foundation in the language of mathematics. The book blends instructional approaches that include vocabulary, practice, and well-defined pedagogy, along with an emphasis on reasoning, modeling, communication, and technology skills to develop students' fluency in the "language of algebra". Tussy and Gustafson understand the challenges of teaching developmental students and this book reflects a holistic approach to teaching mathematics that includes developing study skills, problem solving and critical thinking alongside mathematical concepts. New features in this edition include a pretest for students to gauge their understanding of prerequisite concepts, problems that make correlations between student life and the mathematical concepts and study skills information designed to give students the best chance to succeed in the course. Additionally, the texts widely acclaimed Study Sets at the end of every section are tailored to improve students' ability to read, write and communicate mathematical ideas.

1. REVIEW OF BASIC ALGEBRA. Describing Numerical Relationships. The Real Number System/Operations with Real Numbers. Simplifying Algebraic Expressions. Solving Linear Equations and Formulas. Using Equations to Solve Problems. More Problem Solving. Key Concept: "Let x =". 2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS. The Rectangular Coordinate System. Graphing Linear Equations. Rate of Change and the Slope of a Line. Writing Equations of Lines. Introduction to Functions. Graphs of Functions. Key Concept: Functions. 3. SYSTEMS OF EQUATIONS. Solving Systems by Graphing. Solving Systems Algebraically. Systems with Three Variables. Solving Systems Using Matrices. Solving Systems Using Determinants. Key Concept: Systems of Equations. 4. INEQUALITIES. Solving Linear Inequalities. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Linear Inequalities in Two Variables. Systems of Linear Inequalities. Key Concept: Inequalities. 5. EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS. Exponents. Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares. The Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Key Concept: Polynomials. 6. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Rational Functions and Simplifying Rational Expressions. Proportion and Variation. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Equations Containing Rational Expressions. Dividing Polynomials. Key Concept: Expressions and Equations. 7. RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Radical Expressions and Radical Functions. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Rational Exponents. Geometric Applications of Radicals. Key Concept: Radicals. 8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. Completing the square. The Quadratic Formula. Quadratic Functions and Their Graphs. Complex Numbers. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic and Other Nonlinear Inequalities. Key Concept: Solving Quadratic Equations. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Algebra and Composition of Functions. Inverses of Functions. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms/ Properties of Logarithms. Exponential and Logarithmic Equations. Key Concept: Inverse Functions. 10. CONIC SECTIONS; MORE GRAPHING. The Circle and Parabola. The Ellipse. The Hyperbola. Solving Simultaneous Second-Degree Equations. Key Concept: Conic Sections. Appendix I: A Review of Fractions and Decimals. Appendix II: The Binomial Theorem. Appendix III: Tables.