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Larson IS student success. INTERMEDIATE ALGEBRA owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. With a bright, appealing design, the new Fifth Edition builds on the Larson tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. The text also continues coverage and integration of geometry in examples and exercises.
1. FUNDAMENTALS OF ALGEBRA. The Real Number System. Operations with Real Numbers. Properties of Real Numbers. Mid-Chapter Quiz. Algebraic Expressions. Constructing Algebraic Expressions. 2. LINEAR EQUATIONS AND INEQUALITIES. Linear Equations. Linear Equations and Problem Solving. Business and Scientific Problems. Mid-Chapter Quiz. Linear Inequalities. Absolute Value Equations and Inequalities. 3. GRAPHS AND FUNCTIONS. The Rectangular Coordinate System. Graphs of Equations. Slope and Graphs of Linear Equations. Equations of Lines. Mid-Chapter Quiz. Graphs of Linear Inequalities. Relations and Functions. Graphs of Functions. 4. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Equations. Linear Systems in Two Variables. Linear Systems in Three Variables. Mid-Chapter Quiz. Matrices and Linear Systems. Determinants and Linear Systems. Systems of Linear Inequalities. 5. POLYNOMIALS AND FACTORING. Integer Exponents and Scientific Notation. Adding and Subtracting Polynomials. Multiplying Polynomials. Mid-Chapter Quiz. Factoring By Grouping and Special Forms. Factoring Trinomials. Solving Polynomial Equations by Factoring. 6. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Rational Expressions and Functions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Mid-Chapter Quiz. Dividing Polynomials and Synthetic Division. Solving Rational Equations. Applications and Variation. 7. RADICALS AND COMPLEX NUMBERS. Radicals and Rational Exponents. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Mid-Chapter Quiz. Multiplying and Dividing Radical Expressions. Radical Equations and Applications. Complex Numbers. 8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. Solving Quadratic Equations: Factoring and Special Form. Completing the Square. The Quadratic Formula. Mid-Chapter Quiz. Graphs of Quadratic Functions. Applications of Quadratic Equations. Quadratic and Rational Inequalities. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Mid-Chapter Quiz. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Applications. 10. CONICS. Circles and Parabolas. Ellipses. Mid-Chapter Quiz. Hyperbolas. Solving Nonlinear Systems of Equations. 11. SEQUENCES, SERIES AND THE BINOMIAL THEOREM. Sequences and Series. Arithmetic Sequences. Mid-Chapter Quiz. Geometric Sequences and Series. The Binomial Theorem. APPENDICES. Appendix A: Introduction to Graphing Calculators. Appendix B: Further Concepts in Geometry (Web). Appendix C: Further Concepts in Statistics (Web). Appendix D: Introduction to Logic (Web). Appendix E: Counting Principles (Web). Appendix F: Probability (Web). ANSWERS TO ODD-NUMBERED EXERCISES, QUIZZES, AND TESTS. INDEX OF APPLICATIONS. INDEX.
Posted August 27, 2010
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