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What is included with this book?
Graphs and Models | |
Functions, graphs, and models | |
Using Graphing Utilities | |
Functions | |
Functions | |
Graphs and Properties | |
1-4 | |
Graphs and Transformations | |
Operations on Functions; Composition | |
Inverse Functions | |
Review | |
Group Activity | |
Mathematical Modeling–Choosing a Long Distance Calling Plan | |
Modeling with linear and quadratic functions | |
Linear Functions | |
Linear Equations and Models | |
Quadratic Functions | |
Complex Numbers | |
Quadratic Equations and Models | |
Additional Equation Solving Techniques | |
Solving Inequalities | |
Review | |
Group Activity | |
Mathematical Modeling in Population Studies Cumulative Review Exercise for Chapters | |
and 2 | |
Polynomial and rational functions | |
Polynomial Functions And Models | |
Polynomial Division | |
Real Zeros and Polynomial Inequalities | |
Complex Zeros and Rational Zeros of Polynomials | |
Rational Functions and Inequalities | |
Variation and Modeling | |
Review | |
Group Activity | |
Interpolating Polynomials | |
Modeling with exponential and logarithmic functions | |
Exponential Functions | |
Exponential Models | |
Logarithmic Functions | |
Logarithmic Models | |
Exponential and Logarithmic Equations | |
Review | |
Group Activity | |
Comparing Regression Models Cumulative Review Exercise for Chapters 3 and 4 | |
Trigonometric functions | |
Angles and Their Measure | |
Trigonometric Functions | |
A Unit Circle Approach | |
Solving Right Triangles | |
Properties of Trigonometric Functions | |
More General Trigonometric Functions and and Models | |
Inverse Trigonometric Functions | |
Review | |
Group Activity | |
A Predator-Prey Analysis Involving Mountain Lions and Deer | |
Trigonometric identities and conditional equations | |
Basic Identities and Their Use | |
Sum, Difference, and Cofunction Identities | |
Double-Angle and Half-Angle Identities | |
Product-Sum and Sum-Product Identities | |
Trigonometric Equations | |
Review | |
Group Activity | |
From M sin Bt + N cos Bt to A sin (Bt + C) | |
A Harmonic Analysis Tool | |
Additional topics in trigonometry | |
Law of Sines | |
Law of Cosines | |
Vectors in the Plane | |
Polar Coordinates and Graphs | |
Complex Numbers and De Moivre's Theorem | |
Review | |
Group Activity | |
Conic Sections and Planetary Orbits Cumulative Review Exercise for Chapters 5, 6, and 7 | |
Modeling with systems of equations and inequalities | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Three Variables | |
Systems of Linear Inequalities | |
Linear Programming | |
Review | |
Group Activity | |
Modeling with Systems of Equations | |
Matrices and determinants | |
Matrix Solutions to Linear Systems | |
Matrix Operations | |
Inverse of a Square Matrix | |
Matrix Equations and Systems of Linear Equations | |
Determinants | |
Properties of Determinants | |
Determinants and Cramer's Rule | |
Review | |
Group Activity | |
Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters8 and 9 | |
SEquences, induction, probability | |
Sequences and Series | |
Mathematical Induction | |
Arithmetic and Geometric Sequences | |
Multiplication Principle, Permutations, and Combinations | |
Sample Spaces and Probability | |
Binomial Formula | |
Review | |
Group Activity | |
Sequences Specified by Recursion Formulas | |
ADDITIONAL TOPICS IN ANALYTIC GEOMETRY | |
Conic Sections; Parabola | |
Ellipse | |
Hyperbola | |
Translation and Rotation of Axes | |
Systems of Nonlinear Equations | |
Review Chapte | |
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