Interactive Calculus Q3

by Larry Green

Read here Read at LibreTextsPDF

The text guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. It focuses on sequences and series, Taylor polynomials, polar coordinates, and differentiation and integration of multivariate functions.

Description from LibreTexts.

Publisher
Lake_Tahoe_Community_College
Subjects
Mathematics
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Sequences and Series
  7. 1.1: Prelude to Sequence and Series
  8. 1.2: Sequences
  9. 1.2E: Exercises for Section 1.2
  10. 1.3: Infinite Series
  11. 1.3E: Exercises for Section 1.3
  12. 1.4: The Divergence and Integral Tests
  13. 1.4E: Exercises for Section 1.4
  14. 1.5: Comparison Tests
  15. 1.5E: Exercises for Section 1.5
  16. 1.6: Alternating Series
  17. 1.6E: Exercises for Section 1.6
  18. 1.7: Ratio and Root Tests
  19. 1.7E: Exercises for Section 1.7
  20. 1.8: Chapter 1 Review Exercises
  21. 2: Power Series
  22. 2.1: Prelude to Power Series
  23. 2.2: Power Series and Functions
  24. 2.2E: Exercises for Section 2.2
  25. 2.3: Properties of Power Series
  26. 2.3E: Exercises for Section 2.3
  27. 2.4: Taylor and Maclaurin Series
  28. 2.4E: Exercises for Section 2.4
  29. 2.5: Working with Taylor Series
  30. 2.5E: Exercises for Section 2.5
  31. 2.6: Chapter 2 Review Exercises
  32. 3: Parametric Equations and Polar Coordinates
  33. 3.1: Prelude to Parametric Equations and Polar Coordinates
  34. 3.2: Parametric Equations
  35. 3.2E: Exercises for Section 3.2
  36. 3.3: Calculus of Parametric Curves
  37. 3.3E: Exercises for Section 3.3
  38. 3.4: Polar Coordinates
  39. 3.4E: Exercises for Section 3.4
  40. 3.5: Area and Arc Length in Polar Coordinates
  41. 3.5E: Exercises for Section 3.5
  42. 3.6: Conic Sections
  43. 3.6E: Exercises for Section 3.6
  44. 3.7: Chapter 3 Review Exercises
  45. 4: Vectors in Space
  46. 4.1: Prelude to Vectors in Space
  47. 4.2: Vectors in the Plane
  48. 4.2E: Exercises for Section 4.2
  49. 4.3: Vectors in Three Dimensions
  50. 4.3E: Exercises for Section 4.3
  51. 4.4: The Dot Product
  52. 4.4E: Exercises for Section 4.4
  53. 4.5: The Cross Product
  54. 4.5E: Exercises for Section 4.5
  55. 4.6: Equations of Lines and Planes in Space
  56. 4.6E: Exercises for Section 4.6
  57. 4.7: Quadric Surfaces
  58. 4.7E: Exercises for Section 4.7
  59. 4.8: Cylindrical and Spherical Coordinates
  60. 4.8E: Exercises for Section 4.8
  61. 4.9: Chapter 4 Review Exercises
  62. 5: Differentiation of Functions of Several Variables
  63. 5.1: Prelude to Differentiation of Functions of Several Variables
  64. 5.2: Functions of Several Variables
  65. 5.2E: Exercises for Section 5.2
  66. 5.3: Limits and Continuity
  67. 5.3E: Exercises for Section 5.3
  68. 5.4: Partial Derivatives
  69. 5.4E: Exercises for Section 5.4
  70. 5.5: Tangent Planes and Linear Approximations
  71. 5.5E: Exercises for Section 5.5
  72. 5.6: The Chain Rule for Multivariable Functions
  73. 5.6E: Exercises for Section 5.6
  74. 5.7: Directional Derivatives and the Gradient
  75. 5.7E: Exercises for Section 5.7
  76. 5.8: Maxima/Minima Problems
  77. 5.8E: Exercises for Section 5.8
  78. 5.9: Lagrange Multipliers
  79. 5.9E: Exercises for Section 5.9
  80. 5.10: Chapter 5 Review Exercises
  81. 6: Appendices
  82. 6.1: A- Table of Derivatives
  83. 6.2: B- Table of Integrals
  84. Back Matter
  85. Index
  86. Glossary
  87. Detailed Licensing