Calculus & Its Applications, Global Edition, 14th edition

Published by Pearson (March 5, 2018) © 2019

  • Larry J. Goldstein Goldstein Educational Technologies
  • David I. Schneider University of Maryland
  • David C. Lay University of Maryland
  • Nakhle H. Asmar University of Missouri, Columbia
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£44.99
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  • Instant access once purchased
  • Fulfilled by VitalSource
  • For titles accompanied by MyLab/Mastering, this eBook does NOT include access to the platform

Features

  • Add notes and highlights
  • Search by keyword or page
Products list
£44.99
Instant access

Access details

  • Instant access once purchased
  • Fulfilled by VitalSource
  • For titles accompanied by MyLab/Mastering, this eBook does NOT include access to the platform

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  • Add notes and highlights
  • Search by keyword or page

Title overview

Calculus & Its Applications builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits, and they introduce the definite integral intuitively via the notion of net change before they discuss Riemann sums.

The strategic organisation of topics makes it easy to adjust the level of theoretical material covered. The significant applications introduced early in the course serve to motivate students and make the mathematics more accessible. Another unique aspect of the text is its intuitive use of differential equations to model a variety of phenomena in Chapter 5, which addresses applications of exponential and logarithmic functions.

Table of contents

  1. 0. Functions
  2. 0.1 Functions and Their Graphs
  3. 0.2 Some Important Functions
  4. 0.3 The Algebra of Functions
  5. 0.4 Zeros of Functions - The Quadratic Formula and Factoring
  6. 0.5 Exponents and Power Functions
  7. 0.6 Functions and Graphs in Applications
  8. 1. The Derivative
  9. 1.1 The Slope of a Straight Line
  10. 1.2 The Slope of a Curve at a Point
  11. 1.3 The Derivative and Limits
  12. 1.4 Limits and the Derivative
  13. 1.5 Differentiability and Continuity
  14. 1.6 Some Rules for Differentiation
  15. 1.7 More About Derivatives
  16. 1.8 The Derivative as a Rate of Change
  17. 2. Applications of the Derivative
  18. 2.1 Describing Graphs of Functions
  19. 2.2 The First and Second Derivative Rules
  20. 2.3 The First and Section Derivative Tests and Curve Sketching
  21. 2.4 Curve Sketching (Conclusion)
  22. 2.5 Optimization Problems
  23. 2.6 Further Optimization Problems
  24. 2.7 Applications of Derivatives to Business and Economics
  25. 3. Techniques of Differentiation
  26. 3.1 The Product and Quotient Rules
  27. 3.2 The Chain Rule
  28. 3.3 Implicit Differentiation and Related Rates
  29. 4. The Exponential and Natural Logarithm Functions
  30. 4.1 Exponential Functions
  31. 4.2 The Exponential Function ex
  32. 4.3 Differentiation of Exponential Functions
  33. 4.4 The Natural Logarithm Function
  34. 4.5 The Derivative of ln x 4.6 Properties of the Natural Logarithm Function
  35. 5. Applications of the Exponential and Natural Logarithm Functions
  36. 5.1 Exponential Growth and Decay
  37. 5.2 Compound Interest
  38. 5.3. Applications of the Natural Logarithm Function to Economics
  39. 5.4. Further Exponential Models
  40. 6. The Definite Integral
  41. 6.1 Anti-differentiation
  42. 6.2 The Definite Integral and Net Change of a Function
  43. 6.3 The Definite Integral and Area Under a Graph
  44. 6.4 Areas in the xy-Plane
  45. 6.5 Applications of the Definite Integral
  46. 7. Functions of Several Variables
  47. 7.1 Examples of Functions of Several Variables
  48. 7.2 Partial Derivatives
  49. 7.3 Maxima and Minima of Functions of Several Variables
  50. 7.4 Lagrange Multipliers and Constrained Optimization
  51. 7.5 The Method of Least Squares
  52. 7.6 Double Integrals
  53. 8. The Trigonometric Functions
  54. 8.1 Radian Measure of Angles
  55. 8.2 The Sine and the Cosine
  56. 8.3 Differentiation and Integration of sin t and cos t
  57. 8.4 The Tangent and Other Trigonometric Functions
  58. 9. Techniques of Integration
  59. 9.1 Integration by Substitution
  60. 9.2 Integration by Parts
  61. 9.3 Evaluation of Definite Integrals
  62. 9.4 Approximation of Definite Integrals
  63. 9.5 Some Applications of the Integral
  64. 9.6 Improper Integrals
  65. 10. Differential Equations
  66. 10.1 Solutions of Differential Equations
  67. 10.2 Separation of Variables
  68. 10.3 First-Order Linear Differential Equations
  69. 10.4 Applications of First-Order Linear Differential Equations
  70. 10.5 Graphing Solutions of Differential Equations
  71. 10.6 Applications of Differential Equations
  72. 10.7 Numerical Solution of Differential Equations

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