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What is included with this book?
Fundamentals | |
Sets of Real Numbers | |
Absolute Value | |
Solving Equations (Review and Preview) | |
Rectangular Coordinates | |
Visualizing Data | |
Graphs and Graphing Utilities | |
Equations of Lines | |
Symmetry and Graphs | |
Circles | |
Equations And Inequalities | |
Quadratic Equations: Theory and Examples | |
Other Types of Equations | |
Inequalities | |
More on Inequalities | |
Functions | |
The Definition of a Function | |
The Graph of a Function | |
Shapes of Graphs | |
Average Rate of Change | |
Techniques in Graphing | |
Methods of Combining Functions | |
Iteration | |
Inverse Functions | |
Polynomial And Rational Functions: Applications To Optimization | |
Linear Functions | |
Quadratic Functions | |
Using Iteration to Model Populations Growth (Optional Section) | |
Setting Up Equations That Devine Functions | |
Maximum and Minimum Problems | |
Polynomial Functions | |
Rational Functions | |
Exponential And Logarithmic Functions | |
Exponential Functions | |
The Exponential Function y = ex | |
Logarithmic Functions | |
Properties of Logarithms | |
Equations and Inequalities with Logs and Exponents | |
Compound IntereSt. Exponential Growth and Decay | |
An Introduction To Trigonometry Via Right Triangles | |
Trigonometric Functions of Acute Angles | |
Right-Triangle Applications | |
Trigonometric Functions of Angles | |
Trigonometric Identities | |
The Trigonometric Functions | |
Radian Measure | |
Trigonometric Functions of Angles | |
Evaluating the Trigonometric Functions | |
Algebra and the Trigonometric Functions | |
Right-Triangle Trigonometry | |
Graphs Of Trigonometric Functions | |
Trigonometric Functions of Real Numbers | |
Graphs of the Sine and Cosine Functions | |
Graphs of y = A sin(Bx-C) and y = A cos(Bx-C) | |
Simple Harmonic Motion | |
Graphs of the Tangent and the Reciprocal Functions | |
Analytical Trigonometry | |
The Addition Formulas | |
The Double-Angle Formulas | |
The Product-to-Sum and Sum-to-Product Formulas | |
Trigonometric Equations | |
The Inverse Trigonometric Functions | |
Additional Topics In Trigonometry | |
Right-Triangle Applications | |
The Law of Sines and the Law of Cosines | |
Vectors in the Plane: A Geometric Approach | |
Vectors in the Plane: An Algebraic Approach | |
Parametric Equations | |
Introduction to Polar Coordinates | |
Curves in Polar Coordinates | |
DeMoivre's Theorem | |
Systems Of Equations | |
Systems of Two Linear Equations in Two Unknowns | |
Gaussian Elimination | |
Matrices | |
The Inverse of a Square Matrix | |
Determinants and Cramer's Rule | |
Nonlinear Systems of Equations | |
Systems of Inequalities | |
The Conic Sections | |
The Basic Equations | |
The Parabola | |
Tangents to Parabolas (Optional Section) | |
The Ellipse | |
The Hyperbola | |
The Focus-Directrix Property of Conics | |
The Conics in Polar Coordinates | |
Rotation of Axes | |
Roots Of Polynomial Equations | |
Division of Polynomials | |
The Remainder Theorem and the Factor Theorem | |
The Fundamental Theorem of Algebra | |
Rational and Irrational Roots | |
Conjugate Roots and Descartes's Rule of Signs | |
Introduction to Partial Fractions | |
More About Partial Fractions | |
Additional Topics In Algebra | |
Mathematical Induction | |
The Binomial Theorem | |
Introduction to Sequences and Series | |
Arithmetic Sequences and Series | |
Geometric Sequences and Series | |
Introduction to Limits | |
Significant Digits | |
v2 is Irrational | |
The Complex Number System | |
Answers | |
Index | |
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