Robert M. Stark - Fundamentals of Calculus read online FB2, DOC
9781119015260 English 111901526X Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the mathematics of change, each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science., 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 Functions The Derivative Using the Derivative Exponential and Logarithmic Functions Techniques of Differentiation Integral Calculus Integration Techniques Functions of Several Variables Series and Summations Applications of Probability, This book 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. The book begins with "Linear Equations and Functions, "which reviews basic algebra skills including linear equations, graphing polynomials, factoring, the quadratic formula, and laws of exponents. "The Derivative" uses limits and difference quotients with a simple power rule and introduces concepts of differentiability and continuity and rules for differentiation such as the constant multiple rule, sum rule, and general power rule. "Using the Derivative" applies extrema in word problems to inventory theory and other real-world examples. "Exponential and Logarithmic Functions" reviews logarithmic functions and their derivatives as well as discusses exponential growth decay and decay models. "Techniques of Differentiation" includes implicit differentiation and related rates problems and introduces differentiation modeling for more complex functions including the product rule, quotient rule, chain rule, and its relationship to the general power rule. "Integral Calculus"introduces integration (or antidifferentiation) and features a section in Riemann Sums that reveals the connection between integration and areas between curves. In addition, "Integration Techniques" develops basic techniques of integration including integration by substitution, by parts, and by partial fractions. "Functions of Several Variables"evaluates multivariable functions, level curves for bivariate functions, and extrema of bivariate functions while "Series and Summations" considers infinite series, the integral test, and ratio tests. The book concludes with "Applications of Probability," which features examples of using the Monte Carlo method to either approximate an integral or find a probability, and the expected value and variance of data are determined by calculus techniques.
9781119015260 English 111901526X Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the mathematics of change, each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science., 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 Functions The Derivative Using the Derivative Exponential and Logarithmic Functions Techniques of Differentiation Integral Calculus Integration Techniques Functions of Several Variables Series and Summations Applications of Probability, This book 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. The book begins with "Linear Equations and Functions, "which reviews basic algebra skills including linear equations, graphing polynomials, factoring, the quadratic formula, and laws of exponents. "The Derivative" uses limits and difference quotients with a simple power rule and introduces concepts of differentiability and continuity and rules for differentiation such as the constant multiple rule, sum rule, and general power rule. "Using the Derivative" applies extrema in word problems to inventory theory and other real-world examples. "Exponential and Logarithmic Functions" reviews logarithmic functions and their derivatives as well as discusses exponential growth decay and decay models. "Techniques of Differentiation" includes implicit differentiation and related rates problems and introduces differentiation modeling for more complex functions including the product rule, quotient rule, chain rule, and its relationship to the general power rule. "Integral Calculus"introduces integration (or antidifferentiation) and features a section in Riemann Sums that reveals the connection between integration and areas between curves. In addition, "Integration Techniques" develops basic techniques of integration including integration by substitution, by parts, and by partial fractions. "Functions of Several Variables"evaluates multivariable functions, level curves for bivariate functions, and extrema of bivariate functions while "Series and Summations" considers infinite series, the integral test, and ratio tests. The book concludes with "Applications of Probability," which features examples of using the Monte Carlo method to either approximate an integral or find a probability, and the expected value and variance of data are determined by calculus techniques.