Fundamentals of calculus / Carla C. Morris, Robert M. Stark.

Format:

Book

Author/Creator:

Morris, Carla C., author.

Stark, Robert M., 1930-2017, author.

Language:

English

Subjects (All):

Calculus--Textbooks.

Calculus.

Physical Description:

1 online resource (371 pages)

Edition:

1st ed.

Place of Publication:

Hoboken, New Jersey : John Wiley & Sons, 2016.

Summary:

Fundamentals of Calculus encourages students to use power, quotient, and product rules for solutions as well as stresses the importance of modeling skills. In addition to core integral and differential calculus coverage, the book features finite calculus, which lends itself to modeling and spreadsheets. Specifically, finite calculus is applied to marginal economic analysis, finance, growth, and decay. Includes: Linear Equations and FunctionsThe DerivativeUsing the Derivative Exponential and Logarithmic Functions Techniques of DifferentiationIntegral CalculusIntegration TechniquesFunctions of Several VariablesSeries and SummationsApplications of Probability.

Contents:

Cover

Title Page

Copyright

Contents

Preface

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

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

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

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

6.1 Indefinite Integrals

6.2 Riemann Sums

6.3 Integral Calculus - The Fundamental Theorem

6.4 Area Between Intersecting Curves

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

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

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

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

Answers to Odd Numbered Exercises

Index

Derivatives

Integrals

EULA.

Notes:

Includes index.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

1-119-01531-6

OCLC:

923710276