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Test Bank for Essential Calculus 2nd Edition: James Stewart

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Product Details:

  • ISBN-10 ‏ : ‎ 1133112293
  • ISBN-13 ‏ : ‎ 978-1133112297
  • Author: James Stewart

This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? ESSENTIAL CALCULUS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. The book is only 900 pages–two-thirds the size of Stewart’s other calculus texts, and yet it contains almost all of the same topics. The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book’s website, www.StewartCalculus.com. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart’s other books. ESSENTIAL CALCULUS features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart’s textbooks the best-selling calculus texts in the world.

 

Table of Content:

  1. Ch 1: Functions and Limits
  2. 1.1: Functions and Their Representations
  3. 1.2: A Catalog of Essential Functions
  4. 1.3: The Limit of a Function
  5. 1.4: Calculating Limits
  6. 1.5: Continuity
  7. 1.6: Limits Involving Infinity
  8. Review
  9. Ch 2: Derivatives
  10. 2.1: Derivatives and Rates of Change
  11. 2.2: The Derivative as a Function
  12. 2.3: Basic Differentiation Formulas
  13. 2.4: The Product and Quotient Rules
  14. 2.5: The Chain Rule
  15. 2.6: Implicit Differentiation
  16. 2.7: Related Rates
  17. 2.8: Linear Approximations and Differentials
  18. Review
  19. Ch 3: Applications of Differentiation
  20. 3.1: Maximum and Minimum Values
  21. 3.2: The Mean Value Theorem
  22. 3.3: Derivatives and the Shapes of Graphs
  23. 3.4: Curve Sketching
  24. 3.5: Optimization Problems
  25. 3.6: Newton’s Method
  26. 3.7: Antiderivatives
  27. Review
  28. Ch 4: Integrals
  29. 4.1: Areas and Distances
  30. 4.2: The Definite Integral
  31. 4.3: Evaluating Definite Integrals
  32. 4.4: The Fundamental Theorem of Calculus
  33. 4.5: The Substitution Rule
  34. Review
  35. Ch 5: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
  36. 5.1: Inverse Functions
  37. 5.2: The Natural Logarithmic Function
  38. 5.3: The Natural Exponential Function
  39. 5.4: General Logarithmic and Exponential Functions
  40. 5.5: Exponential Growth and Decay
  41. 5.6: Inverse Trigonometric Functions
  42. 5.7: Hyperbolic Functions
  43. 5.8: Indeterminate Forms and l’Hospital’s Rule
  44. Review
  45. Ch 6: Techniques of Integration
  46. 6.1: Integration by Parts
  47. 6.2: Trigonometric Integrals and Substitutions
  48. 6.3: Partial Fractions
  49. 6.4: Integration with Tables and Computer Algebra Systems
  50. 6.5: Approximate Integration
  51. 6.6: Improper Integrals
  52. Review
  53. Ch 7: Applications of Integration
  54. 7.1: Areas between Curves
  55. 7.2: Volumes
  56. 7.3: Volumes by Cylindrical Shells
  57. 7.4: Arc Length
  58. 7.5: Area of a Surface of Revolution
  59. 7.6: Applications to Physics and Engineering
  60. 7.7: Differential Equations
  61. Review
  62. Ch 8: Series
  63. 8.1: Sequences
  64. 8.2: Series
  65. 8.3: The Integral and Comparison Tests
  66. 8.4: Other Convergence Tests
  67. 8.5: Power Series
  68. 8.6: Representing Functions as Power Series
  69. 8.7: Taylor and Maclaurin Series
  70. 8.8: Applications of Taylor Polynomials
  71. Review
  72. Ch 9: Parametric Equations and Polar Coordinates
  73. 9.1: Parametric Curves
  74. 9.2: Calculus with Parametric Curves
  75. 9.3: Polar Coordinates
  76. 9.4: Areas and Lengths in Polar Coordinates
  77. 9.5: Conic Sections in Polar Coordinates
  78. Review
  79. Ch 10: Vectors and the Geometry of Space
  80. 10.1 Three-Dimensional Coordinate Systems
  81. 10.2: Vectors
  82. 10.3: The Dot Product
  83. 10.4: The Cross Product
  84. 10.5: Equations of Lines and Planes
  85. 10.6: Cylinders and Quadric Surfaces
  86. 10.7: Vector Functions and Space Curves
  87. 10.8: Arc Length and Curvature
  88. 10.9: Motion in Space: Velocity and Acceleration
  89. Review
  90. Ch 11: Partial Derivatives
  91. 11.1: Functions of Several Variables
  92. 11.2: Limits and Continuity
  93. 11.3: Partial Derivatives
  94. 11.4: Tangent Planes and Linear Approximations
  95. 11.5: The Chain Rule
  96. 11.6: Directional Derivatives and the Gradient Vector
  97. 11.7: Maximum and Minimum Values
  98. 11.8: Lagrange Multipliers
  99. Review
  100. Ch 12: Multiple Integrals
  101. 12.1: Double Integrals over Rectangles
  102. 12.2: Double Integrals over General Regions
  103. 12.3: Double Integrals in Polar Coordinates
  104. 12.4: Applications of Double Integrals
  105. 12.5: Triple Integrals
  106. 12.6: Triple Integrals in Cylindrical Coordinates
  107. 12.7: Triple Integrals in Spherical Coordinates
  108. 12.8: Change of Variables in Multiple Integrals
  109. Review
  110. Ch 13: Vector Calculus
  111. 13.1: Vector Fields
  112. 13.2: Line Integrals
  113. 13.3: The Fundamental Theorem for Line Integrals
  114. 13.4: Green’s Theorem
  115. 13.5: Curl and Divergence
  116. 13.6: Parametric Surfaces and Their Areas
  117. 13.7: Surface Integrals
  118. 13.8: Stokes’ Theorem
  119. 13.9: The Divergence Theorem
  120. Review
  121. Appendixes
  122. Appendix A: Trigonometry
  123. Appendix B: Sigma Notation
  124. Appendix C: Proofs
  125. Appendix D: Answers to Odd-Numbered Exercises
  126. Index

 

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