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What is included with this book?
Preliminaries | |
Precalculus Review | |
Precalculus Review II | |
the Cartesian Coordinate System | |
Straight Lines | |
Functions, Limits, and the Derivative | |
Functions and Their Graphs | |
the Algebra of Functions | |
Functions and Mathematical Models | |
Limits | |
One-Sided Limits and Continuity | |
the Derivative | |
Differentiation | |
Basic Rules of Differentiation | |
the Product and Quotient Rules | |
the Chain Rule | |
Marginal Functions in Economics | |
Higher-Order Derivatives | |
Implicit Differentiation and Related Rates | |
Differentials | |
Applications of the Derivative | |
Applications of the First Derivative | |
Applications of the Second Derivative | |
Curve Sketching | |
Optimization I | |
Optimization II | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Logarithmic Functions | |
Compound Interest Differentiation of Exponential Functions | |
Differentiation of Logarithmic Functions | |
Exponential Functions as Mathematical Models | |
Integration | |
Antiderivatives and the Rules of Integration | |
Integration by Substitution | |
Area and the Definite Integral | |
the Fundamental Theorem of Calculus | |
Evaluating Definite Integrals | |
Area between Two Curves | |
Applications of the Definite Integral to Business and Economics | |
Additional Topics in Integration | |
Integration by Parts | |
Integration Using Tables of Integrals | |
Numerical Integration | |
Improper Integrals | |
Volumes of Solids of Revolution | |
Calculus of Several Variables | |
Functions of Several Variables | |
Partial Derivatives | |
Maxima and Minima of Functions of Several Variables | |
the Method of Least Squares | |
Constrained Maxima and Minima and the Method of Lagrange Multipliers | |
Total Differentials | |
Double Integrals | |
Applications of Double Integrals | |
Differential Equations | |
Differential Equations | |
Separation of Variables | |
Applications of Separable Differential Equations | |
Approximate Solutions of Differential Equations | |
Probability and Calculus | |
Probability Distributions of Random Variables | |
Expected Value and Standard Deviation | |
Normal Distributions | |
Taylor Polynomials and Infinite Series | |
Taylor Polynomials | |
Infinite Sequences | |
Infinite Series | |
Series with Positive Numbers | |
Power Series and Taylor Series | |
More on Taylor Series | |
Newton's Method | |
Trigonometric Functions | |
Measurement of Angles | |
the Trigonometric Functions | |
Differentiation of Trigonometric Functions | |
Integration of Trigonometric Functions | |
Inverse Functions | |
The Inverse of a Function | |
The Graphs of Inverse Functions | |
Functions that Have Inverses | |
Finding the Inverse of a Function | |
Indeterminate Forms and l'H?pital's Rule | |
Table the Standard Normal Distribution | |
Answers to Odd-Numbered Exercises | |
Index | |
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