Arian University · ARIAN_Calculus_3

Calculus 3

Multivariable calculus, vector fields, and advanced integration.

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Course material

Unit 1

  1. 01 3d Coordinate Systems And Vectors Select a learning workflow
  2. 02 The Dot Product And Projections Select a learning workflow
  3. 03 The Cross Product Select a learning workflow
  4. 04 Equations Of Lines And Planes Select a learning workflow
  5. 05 Quadric Surfaces Select a learning workflow

Course material

Unit 2

  1. 01 Functions Of Several Variables Select a learning workflow
  2. 02 Limits And Continuity In Multivariable Calculus Select a learning workflow
  3. 03 Partial Derivatives Select a learning workflow
  4. 04 Tangent Planes And Linear Approximations Select a learning workflow

Course material

Unit 3

  1. 01 The Multivariable Chain Rule Select a learning workflow
  2. 02 Directional Derivatives And The Gradient Vector Select a learning workflow
  3. 03 Maximum Minimum Problems And Lagrange Multipliers Select a learning workflow

Course material

Unit 4

  1. 01 Double Integrals Over Rectangular Regions Select a learning workflow
  2. 02 Double Integrals Over General Regions Select a learning workflow
  3. 03 Double Integrals In Polar Coordinates Select a learning workflow
  4. 04 Triple Integrals Select a learning workflow
  5. 05 Triple Integrals In Cylindrical And Spherical Coordinates Select a learning workflow

Course material

Unit 5

  1. 01 Vector Fields And Line Integrals Select a learning workflow
  2. 02 The Fundamental Theorem For Line Integrals Select a learning workflow
  3. 03 Greens Theorem Select a learning workflow
  4. 04 Curl And Divergence Select a learning workflow
  5. 05 Parametric Surfaces And Surface Integrals Select a learning workflow
  6. 06 Stokes Theorem Select a learning workflow
  7. 07 The Divergence Theorem Select a learning workflow