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Interactive Calculus Q3

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Interactive Calculus Q3

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.

Mathematics
Author
Larry Green
Publisher
Lake_Tahoe_Community_College
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 78 sections
  1. 01: Sequences and Series
  2. 1.01: Prelude to Sequence and Series
  3. 1.02: Sequences
  4. 1.2E: Exercises for Section 1.2
  5. 1.03: Infinite Series
  6. 1.3E: Exercises for Section 1.3
  7. 1.04: The Divergence and Integral Tests
  8. 1.4E: Exercises for Section 1.4
  9. 1.05: Comparison Tests
  10. 1.5E: Exercises for Section 1.5
  11. 1.06: Alternating Series
  12. 1.6E: Exercises for Section 1.6
  13. 1.07: Ratio and Root Tests
  14. 1.7E: Exercises for Section 1.7
  15. 1.08: Chapter 9 Review Exercises
  16. 02: Power Series
  17. 2.01: Prelude to Power Series
  18. 2.02: Power Series and Functions
  19. 2.2E: Exercises for Section 2.2
  20. 2.03: Properties of Power Series
  21. 2.3E: Exercises for Section 2.3
  22. 2.04: Taylor and Maclaurin Series
  23. 2.4E: Exercises for Section 2.4
  24. 2.05: Working with Taylor Series
  25. 2.5E: Exercises for Section 2.5
  26. 2.06: Chapter 10 Review Exercises
  27. 03: Parametric Equations and Polar Coordinates
  28. 3.01: Prelude to Parametric Equations and Polar Coordinates
  29. 3.02: Parametric Equations
  30. 3.2E: Exercises for Section 3.2
  31. 3.03: Calculus of Parametric Curves
  32. 3.3E: Exercises for Section 3.3
  33. 3.04: Polar Coordinates
  34. 3.4E: Exercises for Section 3.4
  35. 3.05: Area and Arc Length in Polar Coordinates
  36. 3.5E: Exercises for Section 3.5
  37. 3.06: Conic Sections
  38. 3.6E: Exercises for Section 3.6
  39. 3.07: Chapter 11 Review Exercises
  40. 04: Vectors in Space
  41. 4.01: Prelude to Vectors in Space
  42. 4.02: Vectors in the Plane
  43. 4.2E: Exercises for Section 4.2
  44. 4.03: Vectors in Three Dimensions
  45. 4.3E: Exercises for Section 4.3
  46. 4.04: The Dot Product
  47. 4.4E: Exercises for Section 4.4
  48. 4.05: The Cross Product
  49. 4.5E: Exercises for Section 4.5
  50. 4.06: Equations of Lines and Planes in Space
  51. 4.6E: Exercises for Section 4.6
  52. 4.07: Quadric Surfaces
  53. 4.7E: Exercises for Section 4.7
  54. 4.08: Cylindrical and Spherical Coordinates
  55. 4.8E: Exercises for Section 4.8
  56. 4.09: Chapter 12 Review Exercises
  57. 05: Differentiation of Functions of Several Variables
  58. 5.01: Prelude to Differentiation of Functions of Several Variables
  59. 5.02: Functions of Several Variables
  60. 5.2E: Exercises for Section 5.2
  61. 5.03: Limits and Continuity
  62. 5.3E: Exercises for Section 5.3
  63. 5.04: Partial Derivatives
  64. 5.4E: Exercises for Section 5.4
  65. 5.05: Tangent Planes and Linear Approximations
  66. 5.5E: Exercises for Section 5.5
  67. 5.06: The Chain Rule for Multivariable Functions
  68. 5.6E: Exercises for Section 5.6
  69. 5.07: Directional Derivatives and the Gradient
  70. 5.7E: Exercises for Section 5.7
  71. 5.08: Maxima Minima Problems
  72. 5.8E: Exercises for Section 5.8
  73. 5.09: Lagrange Multipliers
  74. 5.9E: Exercises for Section 5.9
  75. 5.10: Chapter 5 Review Exercises
  76. 06: Appendices
  77. 6.01: A- Table of Derivatives
  78. 6.02: B- Table of Integrals