Intermediate Algebra - Michael Sullivan

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Sommaire:
R. Real Numbers and Algebraic Expressions R.1 Success in Mathematics R.2 Sets and Classification of Numbers R.3 Operations on Signed Numbers; Properties of Real Numbers R.4 Order of Operations R.5 Algebraic Expressions 1. Linear Equations and Inequalities Part I: Linear Equations and Inequalities in One Variable 1.1 Linear Equations in One Variable 1.2 An Introduction to Problem Solving 1.3 Using Formulas to Solve Problems 1.4 Linear Inequalities in One Variable Part II: Linear Equations and Inequalities in Two Variables 1.5 Rectangular Coordinates and Graphs of Equations 1.6 Linear Equations in Two Variables 1.7 Parallel and Perpendicular Lines 1.8 Linear Inequalities in Two Variables 2. Relations, Functions, and More Inequalities 2.1 Relations 2.2 An Introduction to Functions 2.3 Functions and Their Graphs 2.4 Linear Functions and Models 2.5 Compound Inequalities 2.6 Absolute Value Equations and Inequalities 3. Systems of Linear Equations and Inequalities 3.1 Systems of Linear Equations in Two Variables 3.2 Problem Solving: Systems of Two Linear Equations Containing Two Unknowns 3.3 Systems of Linear Equations in Three Variables 3.4 Using Matrices to Solve Systems 3.5 Determinants and Cramer's Rule 3.6 Systems of Linear Inequalities 4. Polynomials and Polynomial Functions 4.1 Adding and Subtracting Polynomials 4.2 Multiplying Polynomials 4.3 Dividing Polynomials; Synthetic Division 4.4 Greatest Common Factor; Factoring by Grouping 4.5 Factoring Trinomials 4.6 Factoring Special Products 4.7 Factoring: A General Strategy 4.8 Polynomial Equations 5. Rational Expressions and Rational Functions 5.1 Multiplying and Dividing Rational Expressions 5.2 Adding and Subtracting Rational Expressions 5.3 Complex Rational Expressions 5.4 Rational Equations 5.5 Rational Inequalities 5.6 Models Involving Rational Expressions 5.7 Variation 6. Radicals and Rational Exponents 6.1 nth Roots and Rational Exponents 6.2 Simplify Expressions Using the Law of Exponents 6.3 Simplify Radical Expressions Using Properties of Radicals 6.4 Adding, Subtracting, and Multiplying Radical Expressions 6.5 Rationalizing Radical Expressions 6.6 Functions Involving Radicals 6.7 Radical Equations and Their Applications 6.8 The Complex Number System 7. Quadratic Equations and Functions 7.1 Solving Quadratic Equations by Completing the Square 7.2 Solving Quadratic Equations by the Quadratic Formula 7.3 Solving Equations Quadratic in Form 7.4 Graphing Quadratic Functions Using Transformations 7.5 Graphing Quadratic Functions Using Properties 7.6 Polynomial Inequalities 8. Exponential and Logarithmic Functions 8.1 Composite Functions and Inverse Functions 8.2 Exponential Functions 8.3 Logarithmic Functions 8.4 Properties of Logarithms 8.5 Exponential and Logarithmic Equations 9. Conics 9.1 Distance and Midpoint Formulas 9.2 Circles 9.3 Parabolas 9.4 Ellipses 9.5 Hyperbolas 9.6 Systems of Nonlinear Equations 10. Sequences, Series, and the Binomial Theorem 10.1 Sequences 10.2 Arithmetic Sequences 10.3 Geometric Sequences and Series 10.4 The Binomial Theorem