Fundamentals of Calculus

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Morris, Carla C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2015.
Colección:New York Academy of Sciences Ser.
Temas:
Calculus.
Calcul infinitésimal.
calculus.
Calculus
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro
  • Title Page
  • Copyright
  • Table of Contents
  • Preface
  • Supplements
  • Suggestions
  • Acknowledgements
  • About the Companion Website
  • About The Authors
  • Chapter 1: Linear Equations and Functions
  • 1.1 Solving Linear Equations
  • 1.2 Linear Equations and Their Graphs
  • 1.3 Factoring and the Quadratic Formula
  • 1.4 Functions and their Graphs
  • 1.5 Laws of Exponents
  • 1.6 Slopes and Relative Change
  • Historical Notes
  • Chapter 2: The Derivative
  • 2.1 Slopes of Curves
  • 2.2 Limits
  • 2.3 Derivatives
  • 2.4 Differentiability and Continuity
  • 2.5 Basic Rules of Differentiation
  • 2.6 Continued Differentiation
  • 2.7 Introduction to Finite Differences
  • Historical Notes
  • Chapter 3: Using The Derivative
  • 3.1 Describing Graphs
  • 3.2 First and Second Derivatives
  • 3.3 Curve Sketching
  • 3.4 Applications of Maxima and Minima
  • 3.5 Marginal Analysis
  • Chapter 4: Exponential and Logarithmic Functions
  • 4.1 Exponential Functions
  • 4.2 Logarithmic Functions
  • 4.3 Derivatives of Exponential Functions
  • 4.4 Derivatives of Natural Logarithms
  • 4.5 Models of Exponential Growth and Decay
  • 4.6 Applications to Finance
  • Historical Notes
  • Chapter 5: Techniques of Differentiation
  • 5.1 Product and Quotient Rules
  • 5.2 The Chain Rule and General Power Rule
  • 5.3 Implicit Differentiation and Related Rates
  • 5.4 Finite Differences and Antidifferences
  • Chapter 6: Integral Calculus
  • Introduction
  • 6.1 Indefinite Integrals
  • 6.2 Riemann Sums
  • 6.3 Integral Calculus
  • The Fundamental Theorem
  • 6.4 Area Between Intersecting Curves
  • Historical Notes
  • Chapter 7: Techniques of Integration
  • 7.1 Integration by Substitution
  • 7.2 Integration by Parts
  • 7.3 Evaluation of Definite Integrals
  • 7.4 Partial Fractions
  • 7.5 Approximating Sums
  • 7.6 Improper Integrals
  • Historical Notes
  • Chapter 8: Functions of Several Variables
  • 8.1 Functions of Several Variables
  • 8.2 Partial Derivatives
  • 8.3 Second-Order Partial Derivatives
  • Maxima and Minima
  • 8.4 Method of Least Squares
  • 8.5 Lagrange Multipliers
  • 8.6 Double Integrals
  • Historical Notes
  • Chapter 9: Series and Summations
  • 9.1 Power Series
  • 9.2 Maclaurin and Taylor Polynomials
  • 9.3 Taylor and Maclaurin Series
  • 9.4 Convergence and Divergence of Series
  • 9.5 Arithmetic and Geometric Sums
  • Historical Notes
  • Chapter 10: Applications to Probability
  • 10.1 Discrete and Continuous Random Variables
  • 10.2 Mean and Variance
  • Expected Value
  • 10.3 Normal Probability Density Function
  • Historical Notes
  • Answers to Odd Numbered Exercises
  • Derivatives
  • Integrals
  • Index
  • End User License Agreement

Ejemplares similares