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Purchase Benefits
What is included with this book?
Precalculus Review | |
Real Numbers | |
Exponents and Radicals | |
Multiplying and Factoring Algebraic Equations | |
Rational Expressions | |
Solving Polynomial Equations | |
Solving Miscellaneous Equations | |
The Coordinate Plane | |
Functions and Linear Models | |
Functions from the Numerical, Algebraic, and Graphical Viewpoints | |
Applications: Functions and Models | |
Linear Functions and Models | |
Linear Regression | |
Systems of Linear Equations and Matrices | |
Systems of Two Equations in Two Unknowns | |
Using Matrices to Solve Systems of Equations | |
Applications of Systems of Linear Equations | |
Matrix Algebra and Applications | |
Matrix Addition and Scalar Multiplication | |
Matrix Multiplication | |
Matrix Inversion | |
Game Theory | |
Input-Output Models | |
Linear Programming | |
Graphing Linear Inequalities | |
Solving Linear Programming Problems Graphically | |
The Simplex Method: Solving Standard Maximization Problems | |
The Simplex Method: Solving General Linear Programming Problems | |
The Simplex Method and Duality | |
The Mathematics of Finance | |
Simple Interest | |
Compound Interest | |
Annuities, Loans, and Bonds | |
Sets and Counting | |
Sets and Set Operations | |
Cardinality | |
The Addition and Multiplication Principles | |
Permutations and Combinations | |
Probability | |
Sample Spaces and Events | |
Relative Frequency | |
Probability and Probability Models | |
Probability and Counting Techniques | |
Conditional Probability and Independence | |
Bayes' Theorem and Applications | |
Markov Systems | |
Random Variables and Statistics | |
Random Variables and Distributions | |
Bernoulli Trials and Binomial Random Variables | |
Measures of Central Tendency | |
Measures of Dispersion | |
Normal Distributions | |
Nonlinear Functions and Models | |
Quadratic Functions and Models | |
Exponential Functions and Models | |
Logarithmic Functions and Models | |
Logistic Functions and Models | |
Introduction to the Derivative | |
Limits: Numerical and Graphical Approaches | |
Limits and Continuity | |
Limits: Algebraic Approach | |
Average Rate of Change | |
Derivatives: Numerical and Graphical Viewpoints | |
Derivatives: Algebraic Viewpoint | |
Techniques of Differentiation with Applications | |
Derivatives of Powers, Sums, and Constant Multiples | |
A First Application: Marginal Analysis | |
The Product and Quotient Rules | |
The Chain Rule | |
Derivatives of Logarithmic and Exponential Functions | |
Implicit Differentiation | |
Further Applications of the Derivative | |
Maxima and Minima | |
Applications of Maxima and Minima | |
Higher Order Derivatives: Acceleration and Concavity | |
Analyzing Graphs | |
Related Rates | |
Elasticity | |
The Integral | |
The Indefinite Integral | |
Substitution | |
The Definite Integral: Numerical and Graphical Approaches | |
The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus | |
Further Integration Techniques and Applications of the Integral | |
Integration by Parts | |
Area Between Two Curves and Applications | |
Averages and Moving Averages | |
Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams | |
Improper Integrals and Applications | |
Differential Equations and Applications | |
Optional Internet Topic: Taylor Polynomials | |
Functions of Several Variables | |
Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints | |
Partial Derivatives | |
Maxima and Minima | |
Constrained Maxima and Minima and Applications | |
Double Integrals and Applications | |
Trigonometric Models | |
Trigonometric Functions, Models, and Regression | |
Derivatives of Trigonometric Functions and Applications | |
Integrals of Trigonometric Functions and Applications | |
Logic | |
Table: Area Under a Normal Curve | |
Answers to Selected Exercises | |
Index | |
Optional Internet Topic. S. Calculus Applied to Probability and Statistics | |
Introduction | |
Continuous Random Variables and Histograms | |
Probability Density Functions: Uniform, Exponential, Normal, and Beta | |
Mean, Median, Variance and Standard Deviation | |
Denotes material available online | |
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