Descripciones mejoradas de Syndetics:

The author has designed this text to be one students want to read - and actually do read because of the patient explanations, useful tools, and applications. Numerous examples and solved problems are used to amplify each new concept, and figures are used extensively to help students visualize the ideas being presented. Like COLLEGE MATHEMATICS, FOURTH EDITION and other texts in the respected Tan series, APPLIED CALCULUS, FOURTH EDITION includes a wealth of interesting and relevant applications drawn from the fields of business, economics, and the social, behavioral, life, and physical sciences. More than enough material is included for the typical applied calculus course, so instructors can design a course that meets their needs (optional sections are marked in the table of contents). For those instructors who want to integrate technology into their course, this edition includes optional graphing utility exercises and examples.

Tabla de contenidos provista por Syndetics

• Chapter 1 Preliminaries(p. 2)
• 1.1 Precalculus Review(p. 4)
• 1.2 Precalculus Review II(p. 14)
• 1.3 The Cartesian Coordinate System(p. 28)
• 1.4 Straight Lines(p. 37)
• Chapter 2 Functions, Limits, and the Derivative(p. 58)
• 2.1 Functions and Their Graphs(p. 60)
• 2.2 The Algebra of Functions(p. 81)
• 2.3 Functions and Mathematical Models(p. 90)
• 2.4 Limits(p. 110)
• 2.5 One-Sided Limits and Continuity(p. 135)
• 2.6 The Derivative(p. 155)
• Chapter 3 Differentiation(p. 182)
• 3.1 Basic Rules of Differentiation(p. 184)
• 3.2 The Product and Quotient Rules(p. 198)
• 3.3 The Chain Rule(p. 211)
• 3.4 Marginal Functions in Economics(p. 224)
• 3.5 Higher-Order Derivatives(p. 240)
• 3.6 Implicit Differentiation and Related Rates(p. 249)
• 3.7 Differentials(p. 261)
• Chapter 4 Applications of the Derivative(p. 276)
• 4.1 Applications of the First Derivative(p. 278)
• 4.2 Applications of the Second Derivative(p. 301)
• 4.3 Curve Sketching(p. 321)
• 4.4 Optimization(p. 341)
• 4.5 Optimization II(p. 357)
• Chapter 5 Exponential and Logarithmic Functions(p. 372)
• 5.1 Exponential Functions(p. 374)
• 5.2 Logarithmic Functions(p. 383)
• 5.3 Compound Interest(p. 391)
• 5.4 Differentiation of Exponential Functions(p. 405)
• 5.5 Differentiation of Logarithmic Functions(p. 417)
• 5.6 Exponential Functions as Mathematical Models(p. 425)
• Chapter 6 Integration(p. 438)
• 6.1 Antiderivatives and the Rules of Integration(p. 440)
• 6.2 Integration by Substitution(p. 455)
• 6.3 Area and the Definite Integral(p. 466)
• 6.4 The Fundamental Theorem of Calculus(p. 477)
• 6.5 Evaluating Definite Integrals(p. 491)
• 6.6 Area Between Two Curves(p. 503)
• 6.7 Applications of the Definite Integral to Business and Economics(p. 519)
• 6.8 Volumes of Solids of Revolution(p. 535)
• Chapter 7 Additional Topics in Integration(p. 548)
• 7.1 Integration by Parts(p. 550)
• 7.2 Integration Using Tables of Integrals(p. 557)
• 7.3 Numerical Integration(p. 565)
• 7.4 Improper Integrals(p. 582)
• Chapter 8 Calculus of Several Variables(p. 596)
• 8.1 Functions of Several Variables(p. 598)
• 8.2 Partial Derivatives(p. 608)
• 8.3 Maxima and Minima of Functions of Several Variables(p. 626)
• 8.4 The Method of Least Squares(p. 637)
• 8.5 Constrained Maxima and Minima and the Method of Lagrange Multipliers(p. 650)
• 8.6 Total Differentials(p. 663)
• 8.7 Double Integrals(p. 669)
• 8.8 Applications of Double Integrals(p. 677)
• Chapter 9 Differential Equations(p. 690)
• 9.1 Differential Equations(p. 692)
• 9.2 Separation of Variables(p. 699)
• 9.3 Applications of Separable Differential Equations(p. 706)
• 9.4 Approximate Solutions of Differential Equations(p. 716)
• Chapter 10 Probability and Calculus(p. 726)
• 10.1 Probability Distributions of Random Variables(p. 728)
• 10.2 Expected Value and Standard Deviation(p. 739)
• 10.3 Normal Distributions(p. 756)
• Chapter 11 Taylor Polynomials and Infinite Series(p. 772)
• 11.1 Taylor Polynomials(p. 774)
• 11.2 Infinite Sequences(p. 787)
• 11.3 Infinite Series(p. 796)
• 11.4 Series with Positive Terms(p. 808)
• 11.5 Power Series and Taylor Series(p. 819)
• 11.6 More on Taylor Series(p. 829)
• 11.7 The Newton-Raphson Method(p. 839)
• Chapter 12 Trigonometric Functions(p. 852)
• 12.1 Measurement of Angles(p. 854)
• 12.2 The Trigonometric Functions(p. 860)
• 12.3 Differentiation of Trigonometric Functions(p. 871)
• 12.4 Integration of Trigonometric Functions(p. 887)
• Table(p. 899)
• The Standard Normal Distribution(p. 900)
• Answers to Odd-Numbered Exercises(p. 903)
• Index(p. 945)