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APEX Calculus - Sequences and Series

APEX Calculus - Sequences and Series

Sean Fitzpatrick via YouTube Direct link

Sequences and Series: Sequences - 01. Intro

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Sequences and Series: Sequences - 01. Intro

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APEX Calculus - Sequences and Series

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  1. 1 Sequences and Series: Sequences - 01. Intro
  2. 2 Sequences and Series: Sequences - 02. Example: Listing Terms
  3. 3 Sequences and Series: Sequences - 03. Example: Finding Formulas
  4. 4 Sequences and Series: Sequences - 04. Limits
  5. 5 Sequences and Series: Sequences - 05. Example: Limits
  6. 6 Sequences and Series: Sequences - 06. Limit Properties
  7. 7 Sequences and Series: Sequences - 07. Example: Limit Properties
  8. 8 Sequences and Series: Sequences - 08. Bounded Sequences
  9. 9 Sequences and Series: Sequences - 09. Convergent Sequences are Bounded
  10. 10 Sequences and Series: Sequences - 10. Monotone Sequences
  11. 11 Sequences and Series: Sequences - 11. Example: Monotone sequences
  12. 12 Sequences and Series: Sequences - 12. Example: Limit of a bounded monotone sequence
  13. 13 Sequences and Series: Introduction to Series - 01. Intro
  14. 14 Sequences and Series: Introduction to Series - 02. Example: Divergent series
  15. 15 Sequences and Series: Introduction to Series - 03. Geometric series
  16. 16 Sequences and Series: Introduction to Series - 04. Example: Geometric series
  17. 17 Sequences and Series: Introduction to Series - 05. p-Series
  18. 18 Sequences and Series: Introduction to Series - 06. Telescoping series
  19. 19 Sequences and Series: Introduction to Series - 07. Example: Telescoping series
  20. 20 Sequences and Series: Introduction to Series - 08. Example: Evaluate using properties
  21. 21 Sequences and Series: Integral and Comparison Tests - 01. Integral Test
  22. 22 Sequences and Series: Integral and Comparison Tests - 02. Example - Integral Test 1
  23. 23 Sequences and Series: Integral and Comparison Tests - 03. Example - proving the p-Test
  24. 24 Sequences and Series: Integral and Comparison Tests - 04. Comparison Test
  25. 25 Sequences and Series: Integral and Comparison Tests - 05. Example - Comparison
  26. 26 Sequences and Series: Integral and Comparison Tests - 06. Example - Comparison Test 2
  27. 27 Sequences and Series: Integral and Comparison Tests - 07. Example - Motivating Limit Comparison
  28. 28 Sequences and Series: Integral and Comparison Tests - 08. Limit Comparison
  29. 29 Sequences and Series: Integral and Comparison Tests - 09. Example: Limit Comparison 1
  30. 30 Sequences and Series: Integral and Comparison Tests - 10. Example - Limit Comparison 2
  31. 31 Sequences and Series: Integral and Comparison Tests - 11. Example: Limit Comparison 3
  32. 32 Sequences and Series: Ratio and Root Tests - 01. Ratio Test
  33. 33 Sequences and Series: Ratio and Root Tests - 02. Example
  34. 34 Sequences and Series: Ratio and Root Tests - 03. Example 2
  35. 35 Sequences and Series: Ratio and Root Tests - 04. Root Test
  36. 36 Sequences and Series: Ratio and Root Tests - 05. Examples
  37. 37 Sequences and Series: Alternating Series - 01. Definition and Theorem
  38. 38 Sequences and Series: Alternating Series - 02. Examples
  39. 39 Sequences and Series: Alternating Series - 03. Approximation Theorem
  40. 40 Sequences and Series: Alternating Series - 04. Example
  41. 41 Sequences and Series: Alternating Series - 05. Absolute Convergence
  42. 42 Sequences and Series: Alternating Series - 06. Examples
  43. 43 Derivative Applications: Taylor polynomials - 01. Intro
  44. 44 Derivative Applications: Taylor polynomials - 02. Determining Coefficients
  45. 45 Derivative Applications: Taylor polynomials - 03. Definition
  46. 46 Derivative Applications: Taylor polynomials - 04. Example
  47. 47 Derivative Applications: Taylor polynomials - 05. Example
  48. 48 Derivative Applications: Taylor polynomials - 06. Example
  49. 49 Derivative Applications: Taylor polynomials - 07. Taylor's Theorem
  50. 50 Derivative Applications: Taylor polynomials - 08. Error Estimate Example
  51. 51 Derivative Applications: Taylor polynomials - 09. Example
  52. 52 Sequences and Series: Power Series - 01. Introduction
  53. 53 Sequences and Series: Power Series - 02. Examples
  54. 54 Sequences and Series: Power Series - 03. Radius of Convergence
  55. 55 Sequences and Series: Power Series - 05. Derivatives and Integrals
  56. 56 Sequences and Series: Power Series - 04. Example: Radius of Convergence
  57. 57 Sequences and Series: Power Series - 06. Example
  58. 58 Sequences and Series: Power Series - 07. Example: Exponential function
  59. 59 Sequences and Series: Taylor Series - 01. Introduction
  60. 60 Sequences and Series: Taylor Series - 02. Example: Maclaurin series for cosine
  61. 61 Sequences and Series: Taylor Series - 03: Example: natural log
  62. 62 Sequences and Series: Taylor Series - 04. Equality of series and function
  63. 63 Sequences and Series: Taylor Series - 05. Binomial Series - Introduction
  64. 64 Sequences and Series: Taylor Series - 06. Binomial Series
  65. 65 Sequences and Series: Taylor Series - 07. Binomial Series - Convergence and Examples
  66. 66 Sequences and Series: Taylor Series - 08. Manipulating known series - Intro
  67. 67 Sequences and Series: Taylor Series - 09. Manipulating known series - Product
  68. 68 Sequences and Series: Taylor Series - 10. Manipulating known series - Composition
  69. 69 Sequences and Series: Taylor Series - 11. Integration
  70. 70 Sequences and Series: Taylor Series - 12. Solving an Initial Value Problem

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