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Solution Manual for Single Variable Essential Calculus Early Transcendentals, 2nd Edition

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Product Details:

  • ISBN-10 ‏ : ‎ 0176575464
  • ISBN-13 ‏ : ‎ 978-0176575465
  • 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? SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS, 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 600 pages–two-fifths the size of Stewart’s other calculus texts (CALCULUS, Seventh Edition and CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition) 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. SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS 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. 1.6 Exercises
  9. Chapter 1: Review
  10. Ch 2: Derivatives
  11. 2.1 Derivatives and Rates of Change
  12. 2.2 The Derivative as a Function
  13. 2.3 Basic Differentiation Formulas
  14. 2.4 The Product and Quotient Rules
  15. 2.5 The Chain Rule
  16. 2.6 Implicit Differentiation
  17. 2.7 Related Rates
  18. 2.8 Linear Approximations and Differentials
  19. 2.8 Exercises
  20. Chapter 2: Review
  21. Ch 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
  22. 3.1 Exponential Functions
  23. 3.2 Inverse Functions and Logarithms
  24. 3.3 Derivatives of Logarithmic and Exponential Functions
  25. 3.4 Exponential Growth and Decay
  26. 3.5 Inverse Trigonometric Functions
  27. 3.6 Hyperbolic Functions
  28. 3.7 Indeterminate Forms and L’Hospital’s Rule
  29. 3.7 Exercises
  30. Chapter 3: Review
  31. Ch 4: Applications of Differentiation
  32. 4.1 Maximum and Minimum Values
  33. 4.2 The Mean Value Theorem
  34. 4.3 Derivatives and the Shapes of Graphs
  35. 4.4 Curve Sketching
  36. 4.5 Optimization Problems
  37. 4.6 Newton’s Method
  38. 4.7 Antiderivatives
  39. 4.7 Exercises
  40. Chapter 4: Review
  41. Ch 5: Integrals
  42. 5.1 Areas and Distances
  43. 5.2 The Definite Integral
  44. 5.3 Evaluating Definite Integrals
  45. 5.4 The Fundamental Theorem of Calculus
  46. 5.5 The Substitution Rule
  47. 5.5 Exercises
  48. Chapter 5: Review
  49. Ch 6: Techniques of Integration
  50. 6.1 Integration by Parts
  51. 6.2 Trigonometric Integrals and Substitutions
  52. 6.3 Partial Fractions
  53. 6.4 Integration with Tables and Computer Algebra Systems
  54. 6.5 Approximate Integration
  55. 6.6 Improper Integrals
  56. 6.6 Exercises
  57. Chapter 6: Review
  58. Ch 7: Applications of Integration
  59. 7.1 Areas between Curves
  60. 7.2 Volumes
  61. 7.3 Volumes by Cylindrical Shells
  62. 7.4 Arc Length
  63. 7.5 Area of a Surface of Revolution
  64. 7.6 Applications to Physics and Engineering
  65. 7.7 Differential Equations
  66. 7.7 Exercises
  67. Chapter 7: Review
  68. Ch 8: Series
  69. 8.1 Sequences
  70. 8.2 Series
  71. 8.3 The Integral and Comparison Tests
  72. 8.4 Other Convergence Tests
  73. 8.5 Power Series
  74. 8.6 Representing Functions as Power Series
  75. 8.7 Taylor and Maclaurin Series
  76. 8.8 Applications of Taylor Polynomials
  77. 8.8 Exercises
  78. Chapter 8: Review
  79. Ch 9: Parametric Equations and Polar Coordinates
  80. 9.1 Parametric Curves
  81. 9.2 Calculus with Parametric Curves
  82. 9.3 Polar Coordinates
  83. 9.4 Areas and Lengths in Polar Coordinates
  84. 9.5 Conic Sections in Polar Coordinates
  85. 9.5 Exercises
  86. Chapter 9: Review
  87. Appendixes
  88. A: Trigonometry
  89. B: Sigma Notation
  90. B: Exercises
  91. C: The Logarithm Defined as an Integral
  92. C: Exercises
  93. D: Proofs
  94. E: Answers to Odd-Numbered Exercises
  95. Index

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