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Purchase Benefits
What is included with this book?
Note: Each chapter includes an Algebra Review, Chapter Summary, Study | |
Strategies, Review Exercises, and Sample Post-Graduation Exam Questions | |
A Precalculus Review | |
The Real Number Line and Order | |
Absolute Value and Distance on the Real Number Line | |
Exponents and Radicals | |
Factoring Polynomials | |
Fractions and Rationalization | |
Functions, Graphs, and Limits | |
The Cartesian Plane and the Distance Formula | |
Graphs of Equations | |
Lines in the Plane and Slope | |
Functions | |
Limits | |
Continuity | |
Differentiation | |
The Derivative and the Slope of a Graph | |
Some Rules for Differentiation | |
Rates of Change: Velocity and Marginals | |
The Product and Quotient Rules | |
The Chain Rule | |
Higher-Order Derivatives | |
Implicit Differentiation | |
Related Rates | |
Applications of the Derivative | |
Increasing and Decreasing Functions | |
Extrema and the First-Derivative Test | |
Concavity and the Second-Derivative Test | |
Optimization Problems | |
Business and Economics Applications | |
Asymptotes | |
Curve Sketching: A Summary | |
Differentials and Marginal Analysis | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Natural Exponential Functions | |
Derivatives of Exponential Functions | |
Logarithmic Functions | |
Derivatives of Logarithmic Functions | |
Exponential Growth and Decay | |
Integration and Its Applications | |
Antiderivatives and Indefinite Integrals | |
The General Power Rule | |
Exponential and Logarithmic Integrals | |
Area and the Fundamental Theorem of Calculus | |
The Area of a Region Bounded by Two Graphs | |
The Definite Integral as the Limit of a Sum | |
Volumes of Solids of Revolution | |
Techniques of Integration | |
Integration by Substitution | |
Integration by Parts and Present Value | |
Partial Fractions and Logistic Growth | |
Integration Tables and Completing the Square | |
Numerical Integration | |
Improper Integrals | |
Functions of Several Variables | |
The Three-Dimensional Coordinate System | |
Surfaces in Space | |
Functions of Several Variables | |
Partial Derivatives | |
Extrema of Functions of Two Variables | |
Lagrange Multipliers | |
Least Squares Regression Analysis | |
Double Integrals and Area in the Plane | |
Applications of Double Integrals | |
Trigonometric Functions | |
Radian Measure of Angles | |
The Trigonometric Functions | |
Graphs of Trigonometric Functions | |
Derivatives of Trigonometric Functions | |
Integrals of Trigonometric Functions | |
L'Hocirc;pital's Rule | |
Probability and Calculus | |
Discrete Probability | |
Continuous Random Variables | |
Expected Value and Variance | |
Series and Taylor Polynomials | |
Sequences | |
Series and Convergence | |
p-Series and the Ratio Test | |
Power Series and Taylor's Theorem | |
Taylor Polynomials | |
Newton's Method | |
Appendices | |
Alternate Introduction to the Fundamental Theorem of Calculus | |
Formulas | |
Differentiation and Integration Formulas | |
Formulas from Business and Finance | |
Differential Equations | |
Solutions of Differential Equations | |
Separation of Variables | |
First-Order Linear Differential Equations | |
Applications of Differential Equations The following Appendices available at the text-specific website at college.hmco.com: | |
Properties of Measurement | |
Review of Algebra, Geometry, and Trigonometry | |
Units of Measurement | |
Graphing Utility Programs | |
Graphing Utility Programs | |
Table of Contents provided by Publisher. All Rights Reserved. |