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Calculus of one variable /
Calculus of One Variable.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Orlando :
Academic Press,
�1986.
|
| Edición: | Second edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Calculus of One Variable; Copyright Page; Table of Contents; Preface; To the Instructor; Chapter 1. Preliminaries; 1.1 SETS OF REAL NUMBERS; 1.2 ABSOLUTE VALUE AND INEQUALITIES; 1.3 THE CARTESIAN PLANE; 1.4 LINES; 1.5 EQUATIONS OF A STRAIGHT LINE; 1.6 FUNCTIONS; 1.7 OPERATIONS WITH FUNCTIONS; 1.8 SHIFTING THE GRAPHS OF FUNCTIONS (OPTIONAL); REVIEW QUESTIONS FOR CHAPTER 1; Chapter 2. Limiits and Derivatives; 2.1 INTRODUCTION TO THE DERIVATIVE; 2.2 THE CALCULATION OF LIMITS; 2.3 THE LIMIT THEOREMS; 2.4 INFINITE LIMITS AND LIMITS AT INFINITY; 2.5 TANGENT LINES AND DERIVATIVES
- 2.6 THE DERIVATIVE AS A RATE OF CHANGE2.7 CONTINUITY; 2.8 THE THEORY OF LIMITS (OPTIONAL); REVIEW EXERCISES FOR CHAPTER 2; Chapter 3. More atout Derivatives; 3.1 SOME DIFFERENTIATION FORMULAS; 3.2 THE PRODUCT AND QUOTIENT RULES; 3.3 THE DERIVATIVE OF COMPOSITE FUNCTIONS: THE CHAIN RULE; 3.4 THE DERIVATIVE OF A POWER FUNCTION; 3.5 THE DERIVATIVES OF THE TRIGONOMETRIC FUNCTIONS; 3.6 IMPLICIT DIFFERENTIATION; 3.7 HIGHER-ORDER DERIVATIVES; 3.8 APPROXIMATION AND DIFFERENTIALS; REVIEW EXERCISES FOR CHAPTER THREE; Chapter 4. Applications of the Derivative; 4.1 RELATED RATES OF CHANGE
- 5.7 INTEGRATION BY SUBSTITUTION5.8 THE AREA BETWEEN TWO CURVES; 5.9 WORK, POWER, AND ENERGY (OPTIONAL); 5.10 ADDITIONAL INTEGRATION THEORY (OPTIONAL); REVIEW EXERCISES FOR CHAPTER FIVE; Chapter 6. Exponentials an�e Logarithms; 6.1 INVERSE FUNCTIONS; 6.2 THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS I; 6.3 THE DERIVATIVES AND INTEGRALS OF loga x and ax; 6.4 THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS II; 6.5 DIFFERENTIATION AND INTEGRATION OF MORE GENERAL EXPONENTIAL AND LOGARITHMIC FUNCTIONS; 6.6 DIFFERENTIAL EQUATIONS OF EXPONENTIAL GROWTH AND DECAY; 6.7 APPLICATIONS IN ECONOMICS (OPTIONAL)
- 6.8 A MODEL FOR EPIDEMICS (OPTIONAL)PROBLEMS 6.8; REVIEW EXERCISES FOR CHAPTER SIX; Chapter 7. More on Trionometric Function and the Hyperbolic functions; 7.1 INTEGRATION OF TRIGONOMETRIC FUNCTIONS; 7.2 THE INVERSE TRIGONOMETRIC FUNCTIONS; 7.3 PERIODIC MOTION (OPTIONAL); 7.4 THE HYPERBOLIC FUNCTIONS; 7.5 THE INVERSE HYPERBOLIC FUNCTIONS (OPTIONAL); REVIEW EXERCISES FOR CHAPTER SEVEN; Chapter 8. Techniques of Integration; 8.1 REVIEW OF THE BASIC FORMULAS OF INTEGRATION; 8.2 INTEGRATION BY PARTS; 8.3 INTEGRALS OF CERTAIN TRIGONOMETRIC FUNCTIONS; 8.4 THE IDEA BEHIND INTEGRATION BY SUBSTITUTION