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What is included with this book?
Fundamentals | |
Overview | |
Real Numbers | |
Exponents and Radicals | |
Algebraic Expressions | |
Discovery Project: Visualizing a Formula | |
Fractional Expressions | |
Equations | |
Modeling with Equations | |
Discovery Project: Equations through the Ages | |
Inequalities | |
Coordinate Geometry | |
Graphing Calculators: Solving Equations and Inequalities Graphically | |
Lines | |
Modeling Variation | |
Review | |
Test | |
Focus on Problem Solving: General Principles | |
Functions | |
Overview | |
What is a Function? Graphs of Functions | |
Discovery Project: Relations and Functions | |
Increasing and Decreasing Functions: Average Rate of Change | |
Transformations of Functions | |
Quadratic Functions: Maxima and Minima | |
Modeling with Functions | |
Combining Functions | |
Discovery | |
Project: Iteration and Chaos | |
One-to-One Functions and Their Inverses Review | |
Test | |
Focus on Modeling: Fitting Lines to Data | |
Polynomial and Rational Functions | |
Overview | |
Polynomial Functions and Their Graphs | |
Dividing Polynomials | |
Real Zeros of Polynomials | |
Discovery Project: Zeroing in on a Zero | |
Complex Numbers | |
Complex Zeros and the Fundamental Theorem of Algebra | |
Rational Functions | |
Review | |
Test | |
Focus on Modeling: Fitting Polynomials to Data | |
Exponential and Logarithmic Functions | |
Overview | |
Exponential Functions | |
Discovery Project: Exponential Explosion | |
Logarithmic Functions | |
Laws of Logarithms | |
Exponential and Logarithmic Equations | |
Modeling with Exponential and Logarithmic Functions | |
Review | |
Test | |
Focus on Modeling: Fitting Exponential and Power Curves to Data | |
Trigonometric Functions of Real Numbers | |
Overview | |
The Unit Circle | |
Trigonometric Functions of Real Numbers | |
Trigonometric Graphs | |
Discovery Project: Predator-Prey Models | |
More Trigonometric Graphs | |
Modeling Harmonic Motion | |
Review | |
Test | |
Focus on Modeling: Fitting Sinusoidal Curves to Data | |
Trigonometric Functions of Angles | |
Overview | |
Angle Measure | |
Trigonometry of Right Triangles | |
Discovery Project: Similarity | |
Trigonometric Functions of Angles | |
The Law of Sines | |
The Law of Cosines | |
Review | |
Test | |
Focus on Modeling:Surveying | |
Analytic Trigonometric | |
Overview | |
Trigonometric Identities | |
Addition and Subtraction Formulas | |
Double-Angle, Half-Angle, and Sum-Product Identities | |
Inverse Trigonometric Functions | |
Discovery Project: Where to Sit at the Movies | |
Trigonometric Equations | |
Review | |
Test | |
Focus on Modeling: Traveling and Standing Waves | |
Polar Coordinates and Vectors | |
Overview | |
Polar Coordinates | |
Graphs of Polar Equations | |
Polar Form of Complex Numbers | |
DeMoivre's Theorem | |
Discovery Project: Fractals | |
Vectors | |
The Dot Product | |
Discovery Project: Sailing Against the Wind | |
Review | |
Test | |
Focus on Modeling: Mapping the World | |
Systems of Equations and Inequalities | |
Overview | |
Systems of Equations | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Several Variables | |
Discovery Project: Best Fit versus Exact Fit | |
Systems of Linear Equations: Matrices | |
The Algebra of Matrices | |
Discovery Project: Will the Species Survive? Inverses of Matrices and Matrix Equations | |
Discovery Project: Computer Graphics | |
I Determinants and Cramer's Rule | |
Partial Fractions | |
Systems of Inequalities | |
Review | |
Test | |
Focus on Modeling: Linear Programming | |
Analytic Geometry | |
Overview | |
Parabolas | |
Ellipses | |
Hyperbolas | |
Discovery Project: Conics in Architecture Shifted Conics | |
Rotation of Axes | |
Discovery Project: Computer Graphics II | |
Polar Equations of Conics | |
Plane Curves and Parametric Equations | |
Review | |
Test | |
Focus on Modeling: The Path of a Projectile | |
Sequences and Series | |
Overview | |
Sequences and Summation Notation | |
Arithmetic Sequences | |
Geometric Sequences | |
Discovery Project: Finding Patterns | |
Mathematical Finance | |
Mathematical Induction | |
The Binomial Theorem | |
Review | |
Test | |
Focus on Modeling: Modeling with Recursive Sequences | |
Limits: A Preview of Calculus | |
Overview | |
Finding Limits Numerically and Graphically | |
Finding Limits Algebraically | |
Tangent Lines and Derivatives | |
Discovery Project: Designing a Roller Coaster | |
Limits at | |
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