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This paperback text is designed specifically to motivate students to participate actively-and immediately-in the learning process. It is crafted to meet the varied skill levels of students-giving them solid content coverage in a supportive format. This texts also fosters conceptual thinking with writing exercises, computer/graphing calculator exercises, and a thoroughly integrated five-step problem-solving approach.
1. Basic Concepts of Algebra. The Real-Number System.Exponential, Scientific, and Absolute-Value Notation.Addition and Subtraction of Algebraic Expressions.Multiplication of Algebraic Expressions.Factoring.Rational Expressions.Radical Notation.Rational Exponents.Handling Dimension Symbols.2. Equations, Inequalities, and Problem Solving. Solving Equations and Inequalities.Rational Equations.Formulas and Problem Solving.The Complex Numbers.Quadratic Equations.Formulas and Problem Solving.Radical Equations.Equations Reducible to Quadratic Variation.3. Functions, Graphs, and Transformations. Graphs of Equations.The Distance Formula and Circles.Functions.Lines and Linear Functions.Graphs and Applications of Functions.Symmetry.Combinations of Functions.Transformations of Functions.4. Polynomial and Rational Functions. Quadratic Functions.Sets, Sentences, and Inequalities.Equations and Inequalities with Absolute Value.Polynomial and Rational Inequalities.Graphs of Polynomial Functions.Division of Polynomials.Theorems about Roots.Further Help in Finding Roots.Rational Functions.5. Exponential and Logarithmic Functions. Inverses of Relations and Functions.Exponential Functions.Logarithmic Functions.Properties of Logarithmic Functions.Finding Logarithmic Function Values on a Calculator.Graphs of Exponential Functions with Base e, and Applications.Solving Exponential and Logarithmic Equations.Applications of Exponential and Logarithmic Functions.Applications of Exponential and Natural Logarithmic Functions.6. Systems and Matrices. Systems of Equations in Two Variables.Systems of Equations in Three or More Variables.Special Cases of Systems.Matrices.Determinants and Cramer's Rule.Inverses of Matrices.Systems of Inequalities and Linear Programming.Partial Fractions.7. Conic Sections. Conic Sections: Lines and Ellipses.Conic Sections: Hyperbolas.Conic Sections: Parabolas.Systems of First-Degree and Second-Degree Equations.Systems of Second-Degree Equations.8. Sequences, Series, and Combinatorics. Sequences and Series.Arithmetic Sequences and Series.Geometric Sequences and Series.Mathematical Induction.Combinatorics: Permutations.Combinatorics: Combinations.The Binomial Theorem.Probability.
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- ID: 9780201525267
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