Calculus: single variable

INDICE: Chapter 1 Basics Preview 1 Number Systems 2 Planar Coordinates and Graphing in the Plane 3 Lines and Their Slopes 4 Functions and Their Graphs 5 Combining Functions 6 Trigonometry Summary of Key Topics Review Exercises for Chapter 1 Genesis and Development Chapter 2 Limits Preview 1 The Concept of Limit 2 Limit Theorems 3 Continuity 4 Infinite Limits and Asymptotes 5 Limits ofSequences 6 Exponential and Logarithmic Functions Summary of Key Topics Review Exercises Genesis and Development Chapter 3 The Derivative Preview 1 Rates of Change and Tangent Lines 2 The Derivative 3 Rules for Differentiation 4 Differentiation of Some Basic Functions 5 The Chain Rule 6 Derivatives of Inverse Functions 7 Higher Derivatives 8 Implicit Differentiation 9 Differentials and Approximation of Functions 10 Other Transcendental Functions Summary of Key Topics Review Exercises Genesis and Development Chapter 4 Applications of the Derivative Preview 1 Related Rates 2 The Mean Value Theorem 3 Maxima and Minima of Functions 4 Applied Maximum-Minimum Problems 5 Concavity 6 Graphing Functions 7 LHopitals Rule 8 The Newton-Raphson Method 9 Antidifferentiation and Applications Summary of Key Topics Review Exercises Genesis and Development Chapter 5 The Integral Preview 1 Introduction to Integration--The Area Problem 2 TheRiemann Integral 3 Properties of the Integral 4 The Fundamental Theorem of Calculus 5 A Calculus Approach to the Logarithm and Exponential Functions 6 Integration by Substitution 7 More on the Calculation of Area 8 Numerical Techniques of Integration Summary of Key Topics Review Exercises Genesis and Development Chapter 6 Techniques of Integration Preview 1 Integration by Parts 2 Powersand Products of Trigonometric Functions 3 Trigonometric Substitution 4 Partial Fractions--Linear Factors 5 Partial Fractions--Irreducible Quadratic Factors6 Improper Integrals--Unbounded Integrands 7 Improper Integrals--Unbounded Intervals Summary of Key Topics Review Exercises Genesis and Development Chapter7 Applications of the Integral Preview 1 Volumes 2 Arc Length and Surface Area 3 The Average Value of a Function 4 Center of Mass 5 Work 6 First Order Differential Equations--Separable Equations 7 First Order Differential Equations--Linear Equations Summary of Key Topics Review Exercises Genesis and Development Chapter 8 Infinite Series Preview 1 Series 2 The Divergence Test and The Integral Test 3 The Comparison Tests 4 Alternating Series 5 The Ratio and Root Tests 6 Introduction to Power Series 7 Representing Functions by Power Series 8 Taylor Series Summary of Key Topics Review Exercises Genesis and Development

• ISBN: 978-0-470-60198-3
• Editorial: John Wiley & Sons
• Encuadernacion: Cartoné
• Páginas: 784
• Fecha Publicación: 13/10/2010
• Nº Volúmenes: 1
• Idioma: Inglés