Calculus 3

Calculus 3

Linda Green via YouTube Direct link

Triple Integrals in Cylindrical Coordinates

38 of 54

38 of 54

Triple Integrals in Cylindrical Coordinates

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Classroom Contents

Calculus 3

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  1. 1 Introduction to Vectors
  2. 2 Vector Length and Unit Vectors
  3. 3 Dot Product
  4. 4 The Two Definitions of Dot Product Are Equivalent
  5. 5 Cross Product
  6. 6 Jusification of the Properties of Cross Product
  7. 7 Cross Product and Areas of Parallelograms
  8. 8 More Properties of Cross Product
  9. 9 Equations of Lines and Planes in 3-D Space
  10. 10 More Examples of Lines and Planes in 3D
  11. 11 Parallel and Perpendicular Lines and Planes
  12. 12 Distances between Points, Lines, and Planes
  13. 13 Vector Functions and Space Curves
  14. 14 Closest Point on a Curve
  15. 15 Derivatives and Integrals of Vector Functions
  16. 16 Arclength of Parametric Curves
  17. 17 Functions of Several Variables
  18. 18 Limits of Functions of Several Variables
  19. 19 Proof that sin x is smaller in magnitude than x.
  20. 20 Tricky Limit
  21. 21 Partial Derivatives
  22. 22 The Chain Rule for Functions of Several Variables
  23. 23 Justification of the Chain Rule
  24. 24 Directional Derivatives
  25. 25 Tangent Plane
  26. 26 Local Max and Min Values for Functions of Two Variables
  27. 27 The Second Derivatives Test
  28. 28 Proof of the Second Derivatives Test
  29. 29 Lagrange Multipliers
  30. 30 Double Integrals and Riemann Sums
  31. 31 Iterated Integrals
  32. 32 Double Integrals Over General Regions
  33. 33 Double Integrals in Polar Coordinates
  34. 34 Justification of the Area Element when Integrating in Polar Coordinates
  35. 35 The Area under the Normal Curve is 1
  36. 36 Center of Mass
  37. 37 Triple Integrals
  38. 38 Triple Integrals in Cylindrical Coordinates
  39. 39 Spherical Coordinates
  40. 40 Triple Integrals in Spherical Coordinates
  41. 41 Vector Fields
  42. 42 Line Integrals with respect to Arclength
  43. 43 Line Integrals in Terms of Riemann Sums
  44. 44 Line Integrals with Respect to x and y
  45. 45 Line Integrals and Parametrizations
  46. 46 Simple Closed Curves - Definitions
  47. 47 Types of Regions of the Plane - Definitions
  48. 48 Conservative Vector Fields and Independence of Path
  49. 49 Green’s Theorem
  50. 50 Proof of Green’s Theorem
  51. 51 Parametric Surfaces
  52. 52 Surface Area of Parametric Surfaces
  53. 53 Divergence
  54. 54 Curl

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