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Purchase Benefits
What is included with this book?
Fundamentals | |
Chapter Overview | |
Real Numbers | |
Exponents and Radicals | |
Algebraic Expressions | |
Fractional Expressions | |
Equations | |
Modeling with Equations | |
Inequalities | |
Coordinate Geometry | |
Solving Equations and Inequalities Graphically | |
Lines | |
Modeling Variation | |
Functions | |
Chapter Overview | |
What Is a Function? | |
Graphs of Functions | |
Getting Information from the Graph of a Function | |
Average Rate of Change of a Function | |
Transformations of Functions | |
Combining Functions | |
One-to-One Functions and Their Inverses | |
Review | |
TeSt. Focus on Modeling: Functions as Models | |
Polynomial And Rational Functions | |
Chapter Overview | |
Quadratic Functions and Models | |
Polynomial Functions and Their Graphs | |
Dividing Polynomials | |
Real Zeros of Polynomials | |
Complex Numbers | |
Complex Zeros and the Fundamental Theorem of Algebra | |
Rational Functions | |
Review | |
TeSt. Focus on Modeling: Fitting Polynomial Curves to Data | |
Exponential And Logarithmic Functions | |
Chapter Overview | |
Exponential Functions | |
The Natural Exponential Function | |
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 | |
Cumulative Review Test: Chapters 2, 3, and 4 | |
Trigonometric Functions: Unit Circle Approach | |
Chapter Overview | |
The Unit Circle | |
Trigonometric Functions of Real Numbers | |
Trigonometric Graphs | |
More Trigonometric Graphs | |
Inverse Trigonometric Functions and Their Graphs | |
Modeling Harmonic Motion | |
Review | |
TeSt. Focus on Modeling: Fitting Sinusoidal Curves to Data | |
Trigonometric Functions: Right Triangle Approach | |
Chapter Overview | |
Angle Measure | |
Trigonometry of Right Triangles | |
Trigonometric Functions of Angles | |
Inverse Trigonometric Functions and Triangles | |
The Law of Sines | |
The Law of Cosines | |
Review | |
TeSt. Focus on Modeling: Surveying | |
Analytic Trigonometry | |
Chapter Overview | |
Trigonometric Identities | |
Addition and Subtraction Formulas | |
Double-Angle, Half-Angle, and Sum-Product Identities | |
Basic Trigonometric Equations | |
More Trigonometric Equations | |
Review | |
TeSt. Focus on Modeling: Traveling and Standing Waves | |
Cumulative Review Test: Chapters 5, 6, and 7 | |
Polar Coordinates And Parametric Equations | |
Chapter Overview | |
Polar Coordinates | |
Graphs of Polar Equations | |
Polar Form of Complex Numbers | |
DeMoivre's Theorem | |
Plane Curves and Parametric Equations | |
Review | |
TeSt. Focus on Modeling: The Path of a Projectile | |
Vectors In Two And Three Dimensions | |
Chapter Overview | |
Vectors in Two Dimensions | |
The Dot Product | |
Three -Dimensional Coordinate Geometry | |
Vectors in Three Dimensions | |
The Cross Product | |
Equations of Lines and Planes | |
Review | |
TeSt. Focus on Modeling: Vector Fields | |
Cumulative Review Test: Chapters 8 and 9 | |
Systems Of Equations And Inequalities | |
Chapter Overview | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Several Variables | |
Systems of Linear Equations: Matrices | |
The Algebra of Matrices | |
Inverses of Matrices and Matrix Equations | |
Determinants and Cramer's Rule | |
Partial Fractions | |
Systems of Non-Linear Equations | |
Systems of Inequalities | |
Review | |
TeSt. Focus on Modeling: Linear Programming | |
Analytic Geometry | |
Overview | |
Parabolas | |
Ellipses | |
Hyperbolas | |
Shifted Conics | |
Rotation of Axes | |
Polar Equations of Conics | |
Review | |
TeSt. Focus on Modeling: Conics in Architecture | |
Cumulative Review Test: Chapters 10 and 11 | |
Sequences And Series | |
Chapter Overview | |
Sequences and Summation Notation | |
Arithmetic Sequences | |
Geometric Sequences | |
Mathematics of Finance | |
Mathematical Induction | |
The Binomial Theorem | |
Review | |
TeSt. Focus on Modeling: Difference Equations | |
Limits: A Preview Of Calculu.S | |
Chapter Overview | |
Finding Limits Numerically and Graphically | |
Finding Limits Algebraically | |
Tangent Lines and Derivatives | |
Limits at Infinity: Limits of Sequences | |
Areas | |
Review | |
TeSt. Appendix: Calculators and Calculations | |
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