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Basic Concepts of Algebra | |
The Real Numbers and their properties | |
Integer Exponents and Scientific Notation | |
Polynomials | |
Factoring Polynomials | |
Rational Expressions | |
Rational Exponents and Radicals | |
Topics in Geometry Chapter Summary Review Exercises Chapter Tests | |
Equations and Inequalities | |
Linear Equations in One Variable | |
Applications with Linear Equations | |
Complex Numbers | |
Quadratic Equations | |
Solving Other Types of Equations | |
Linear Inequalities | |
Polynomial and Rational Inequalities | |
Equations and Inequalities involving Absolute Value Chapter Summary Review Exercises Chapter Tests | |
Graphs and Functions | |
The Coordinate Plane | |
Graphs of Equations | |
Lines | |
Relations and Functions | |
A Library of Functions | |
Transformations of Functions | |
Combining Functions; Composite Functions | |
Inverse Functions Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |
Polynomial and Rational Functions | |
Quadratic Functions | |
Polynomial Functions | |
Dividing Polynomials and Rational Zeros Test | |
Zeros of Polynomial Functions | |
Rational Functions | |
Variation Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
The Natural Exponential Function | |
Logarithmic Functions 44 Rules of Logarithms | |
Exponential and Logarithmic Equations Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |
Trigonometric Functions | |
Angles and Their Measure | |
Right Triangle Trigonometry | |
Trigonometric Functions of Any Angle | |
Trigonometric Functions of General Angles | |
Graphs of the Sine and Cosine Functions | |
Graphs of the Other Trigonometric Functions | |
Inverse Trigonometric Functions Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |
Analytic Trigonometry | |
Fundamental Trigonometric Identities | |
Verifying Trigonometric Identities | |
Trigonometric Equations | |
Sum and Difference Formulas | |
Double-Angle and Half-Angle Formulas | |
Product-to-Sum and Sum-to-Product Formulas Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |
Applications of Trigonometric Functions | |
Law of Sines | |
Law of Cosines | |
Vectors and Dot Products | |
Power Equations and Graphs | |
Trigonometric Form of Complex Numbers | |
Parametric Equations Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |
Systems of Equations and Inequalities | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Three Variables | |
Partial Fraction Decomposition | |
Systems of Linear Inequalities; Linear Programming | |
Nonlinear Systems of Equations and Inequalities Chapter Summary Review Exercises Chapter Tests Cumulative Review Exercises | |
Matrices and Determinants | |
Matrices and Systems of Equations | |
Matrix Algebra | |
The Matrix Inverse | |
Determinants and Cramers Rule Chapter Summary Review Exercises | |
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