Basics of Algebra and Graphing | |
Some Basics of Algebra | |
Operations with Real Numbers | |
Equivalent Algebraic Expressions | |
Exponential and Scientific Notation | |
Graphs | |
Mathematical Models | |
Functions, Linear Equations and, Models | |
Functions | |
Solving Linear Equations | |
Applications and Formulas | |
Linear Functions: Graphs and Models | |
Another Look at Linear Graphs | |
Introduction to Curve Fitting: Point-Slope Form and Linear Regression | |
The Algebra of Functions | |
Systems of Equations and Problem Solving | |
Systems of Equations in Two Variables | |
Solving by Substitution or Elimination | |
Applications and Models Using Systems of Two Equations | |
Systems of Equations in Three Variables | |
Applications Using Systems of Three Equations | |
Elimination Using Matrices | |
Business and Economics Applications | |
Cumulative Review: Chapters 1-3 | |
Inequalities and Problem Solving | |
Inequalities and Applications | |
Intersections, Unions, and Compound Inequalities | |
Absolute-Value Equations and Inequalities | |
Inequalities in Two Variables | |
Polynomials and Polynomial Functions | |
Introduction to Polynomials and Polynomial Functions | |
Multiplication of Polynomials | |
Polynomial Equations and Factoring | |
Equations Containing Trinomials of the Type x2+ bx + c | |
Equations containing Trinomials of the Type ax2+ bx + c | |
Equations Containing Perfect-Square Trinomials and Differences of Squares | |
Applications of Polynomial Equations | |
Rational Expressions, Equations, and Functions | |
Rational Expressions and Functions: Multiplying and Dividing | |
Rational Expressions and Functions: Adding and Subtracting | |
Complex Rational Expressions | |
Rational Equations | |
Applications and Models Using Rational Functions | |
Division of Polynomials | |
Formulas and Models | |
Cumulative Review: Chapters 1-6 | |
Exponents and Radical Functions | |
Radical Expressions, Functions, and Models | |
Rational Numbers as Exponents | |
Multiplying, Adding, and Subtracting Radical Expressions | |
Multiplying, Dividing, and Simplifying Radical Expressions | |
More with Multiplication and Division | |
Solving Radical Equations | |
Geometric Applications | |
The Complex Number | |
Quadratic Functions and Equations | |
Quadratic Equations | |
The Quadratic Formula | |
Applications Involving Quadratic Equations | |
More on Quadratic Equations | |
Variation and Problem Solving | |
Quadratic Functions and Their Graphs | |
More About Graphing Quadratic Equations | |
Applications and Models Involving Quadratic Functions | |
Polynomial and Rational Inequalities | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Composite and Inverse Functions | |
Logarithmic Functions | |
Properties of Logarithmic Functions | |
Natural Logarithms and Changing Bases | |
Solving Exponential and Logarithmic Equations | |
Applications and Models Using Exponential and Logarithmic Functions | |
Cumulative Review: Chapters 1-9 | |
Sequences, Series, and the Binomial Theorem | |
Sequences and Series | |
Arithmetic Sequences and Series | |
Geometric Sequences and Series | |
The Binomial Theorem | |
Cumulative Review: Chapters 1-10 | |
Answers | |
Index | |
Index of Applications | |
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