Intermediate Algebra for College Students

• 1. Basic Concepts 1.1 Study Skills for Success in Mathematics, and Using a Calculator1.2 Sets and Other Basic Concepts1.3 Properties of and Operations with Real Numbers1.4 Order of Operations1.5 Exponents1.6 Scientific Notation  2. Equations and Inequalities 2.1 Solving Linear Equations2.2 Problem Solving and Using Formulas2.3 Applications of Algebra2.4 Additional Application Problems2.5 Solving Linear Inequalities2.6 Solving Equations and Inequalities Containing Absolute Values  3. Graphs and Functions 3.1 Graphs3.2 Functions3.3 Linear Functions: Graphs and Applications3.4 The Slope-Intercept Form of a Linear Equation 3.5 The Point-Slope Form of a Linear Equation3.6 The Algebra of Functions3.7 Graphing Linear Inequalities  4. Systems of Equations and Inequalities 4.1 Solving Systems of Linear Equations in Two Variables4.2 Solving Systems of Linear Equations in Three Variables4.3 Systems of Linear Equations: Applications and Problem Solving 4.4 Solving Systems of Equations Using Matrices4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule4.6 Solving Systems of Linear Inequalities    5. Polynomials and Polynomial Functions 5.1 Addition and Subtraction of Polynomials5.2 Multiplication of Polynomials5.3 Division of Polynomials and Synthetic Division5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping5.5 Factoring Trinomials5.6 Special Factoring Formulas5.7 A General Review of Factoring5.8 Polynomial Equations  6. Rational Expressions and Equations 6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions6.2 Addition and Subtraction of Rational Expressions6.3 Complex Fractions 6.4 Solving Rational Equations6.5 Rational Equations: Applications and Problem Solving6.6 Variation7. Roots, Radicals, and Complex Numbers 7.1 Roots and Radicals7.2 Rational Exponents7.3 Simplifying Radicals7.4 Adding, Subtracting, and Multiplying Radicals7.5 Dividing Radicals7.6 Solving Radical Equations7.7 Complex Numbers  8. Quadratic Functions8.1 Solving Quadratic Equations by Completing the Square8.2 Solving Quadratic Equations by the Quadratic Formula8.3 Quadratic Equations: Applications and Problem Solving8.4 Writing Equations in Quadratic Form8.5 Graphing Quadratic Functions8.6 Quadratic and Other Inequalities in One Variable  9. Exponential and Logarithmic Functions9.1 Composite and Inverse Functions9.2 Exponential Functions9.3 Logarithmic Functions9.4 Properties of Logarithms9.5 Common Logarithms9.6 Exponential and Logarithmic Equations9.7 Natural Exponential and Natural Logarithmic Functions   10. Sequences, Series, and the Binomial Theorem10.1 Sequences and Series10.2 Arithmetic Sequences and Series10.3 Geometric Sequences and Series10.4 The Binomial Theorem  11. Conic Sections11.1 The Parabola and the Circle11.2 The Ellipse11.3 The Hyperbola10.4 Nonlinear Systems of Equations and Their Applications

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