| 出版说明 序 Chapter 1 PRELIMINARIES 1.1 Precalculua Review I 1.2 Precalculus Review II 1.3 The Cartesian Coordinate System 1.4 Straight Lines Chapter I Summary of Principal Formulas and Terms Chapter 1 Review Exercises Chapter 2 FUNCTIONS， LIMITS， AND THE DERIVATIVE 2.1 Functions and Their Graphs Using Technology： Graphing a Function 2.2 The Algebra of Functions PORTFOLIO： Michael Marchlik 2.3 Functions and Mathematical Models Using Technology： Finding the Points of Intersection of Two Graphs and Modeling 2.4 Limits Using Technology： Finding the Limit of a Function 2.5 One.Sided Limits and Continuity Using Technology： Finding the Points of Discontinuity of a Function 2.6 TheDerivetive Using Technology： Graphing a Function and Its Tangent Lines Chapter 2 Summary of Principal Formulas and Terms Chapter 2 Review Exercises Chapter 3 DIFFERENTIATION 3.1 Basic Rules of Differentiation Using Technology： Finding the Rate of Change of a Function 3.2 The Product and Quotient Rules Using Technology： The Product and Quotient Rules 3.3 The Chain Rule Using Technology： Finding the Derivative of a Composite Function 3.4 Marginal Functions in Economics 3.5 Higher-Order Derivatives Using Technology： Finding the Second Derivative of a Function at a Given Point 3.6 Implicit Differentiation and Related Rates 3.7 Differentials PORTFOLIO： John Decker Using Technology： Finding the Differential of a Function Chapter 3 Summary of.Principal Formulas and Tems Chapter 3 Review Exercises Chapter 4 APPLICATIONS OF THE DERIVATIVE 4，1 Applications of the First Derivative Using Technology： Using the First Derivative to Analyze a Function 4.2 Applications of the Second Derivative Using Technology： Finding the Inflection Points of a Function 4.3 Curve Sketching Using Technology： Analyzing the Properties of a Function 4，4 Optimization Ⅰ Using Technology： Finding the Absolute Extrema of a Function 4.5 Optimization Ⅱ Chapter 4 Summary of Principal Terms Chapter 4 Review Exercises Chapter 5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 8.1 Exponential Functions Using Technology 5.2 Logarithmic Functions 5.3 Compound Interest PORTFOLIO： Misato Nakazaki 5.4 Differentiation of Exponential Functions Using Technology 5.5 Differentiation ef Logarithmic Functions 5.6 Exponential Functions as Mathematical Models Chapter 5 Summary of Principal Formulas and Terms Chapter 5 Revue Exercises Chapter 6 INTEGRATION 6.1 Antiderlvatlues and the Rules of Integration 6.2 Integration by Substitution 6.3 Area and the Definite Integral 6.4 The Fundamental Theorem of Calculus Using Technology： Evaluating Definite Integrals 6.5 Evaluating Definite Integrals Using Technology： Evaluating Definite Integrals for Piecewise-Defined Functions 6.6 Area Between Two Curves Using Technology： Finding the Area Between Two Curves 6.7 Applications of the Definite Integral to Business and Economics Using Technology： Consumers Surplus and Producers Surplus 6.8 Volumes of Solids of Revolution Chapter 6 Summary of Principal Formulas and Terms Chapter 6 Review Exercises Chapter 7 ADDITIONAL TOPICS IN INTEGRATION 7.1 Integration by Parts 7.2 Integration Using Tables of Integrals 7.3 Numerical Integration PORTFOLIO： James H. Chesebro， M.D. 7，4 Improper Integrals Chapter 7 Summary of Principal Formulas and Terms Chapter 7 Review Exercises Chapter 8 CALCULUS OF SEVERAL VARIABLES 8.1 Functions of Several Variables 8.2 Partial Derlvativas Using Technology： Finding Partial Derivatives at a Given Point 8，3 Maxima and Minima of Functions of Several Variables 8.4 The Method of Least Squares Using Technology： Finding an Equation of a Least-Squares Line 8.5 Constrained Maxima and Minima and the Method of Lagrange Multipliers 8.8 Total Differentials 8.7 Double Integrals 8.8 Applications of Double Integrals Chapter 8 Summary of Principal Terms Chapter 8 Review Exercises Chapter 9 DIFFERENTIAL EQUATIONS 9.1 Differential Equations 9.2 Separation of Variables 9.3 Applications of Separable Differential Equations 9.4 Approximate Solutions of Differential Equations Chapter 9 Summary of Principal Terms Chapter 9 Review Exercises Chapter 10 PROBABILITY AND CALCULUS 10.1 Probability Distributions of Random Variables Using Technology： Graphing a Histogram 10，2 Expected Value and Standard Deviation Using Technology： Finding the Mean and Standard Deviation 10.3 Normal Distributions Chapter IO Summary of Principal Formulas and Terms Chapter I0 Review Exercises Chapter 11 TAYLOR POLYNOMIALS AND INFINITE SERIES 11.1 Taylor Polynomials 11.2 Infinite Sequences 11，3 Infinite Series 11.4 Series with Positive Terms 11.5 Power Series and Taylor Series 11.6 More on Taylor Series 11.7 The Newton-Raphson Method Chapter 11 Summary of Principal Formulas and Terms Chapter 11 Review Exercises Chapter 12 TRIGONOMETRIC FUNCTIONS 12.1 Measurement of Angles 12.2 The Trigonometric Functions 12.3 Differentiation of Trigonometric Functions Using Technology： Analyzing Trigonometric Functions 12.4 Integration of Trigonometric Functions Using Technology： Evaluating Integrals of Trigonometric Functions Chapter 12 Summary of Principal Formulas and Terms Chapter 12 Review Exercises TABLE The Standard Normal Distribution ANSWERS TO ODD-NUMBERED EXERCISES INDEX 教辅材料申请表 |
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