Bernd Schroeder

Multivariable Calculus Videos

 

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Electronic book available at Fountainhead Press

The videos were produced with Camtasia studio. The slides were produced with the LaTeX beamer package.

 

Vector Algebra

  1. Points and Figures in Three-Dimensional Space
    Video. (54MB, 47:42min)                      Slides.
  2. Vectors
    Video. (30MB, 32:05min)                      Slides.
  3. The Scalar Product
    Video. (21MB, 22:36min)                      Slides.
  4. The Vector Product/Cross Product
    Video. (40MB, 40:56min)                      Slides.

 

Calculus of Vector-Valued Functions

  1. Vector-Valued Functions/Parametric Equations
    Video. (78MB, 45:58min)                      Slides.
  2. Lines in Three-Dimensional Space
    Video. (23MB, 22:32min)                      Slides.
  3. Limits and Continuity for Vector-Valued Functions
    Video. (14MB, 13:07min)                      Slides.
  4. Derivatives and Integrals of Vector-Valued Functions
    Video. (41MB, 40:41min)                      Slides.
  5. Arc Length, Curvature, Components of Acceleration
    Video. (60MB, 70:17min)                      Slides.

 

Surfaces in Three-Dimensional Space

  1. Multivariable Functions
    Video. (89MB, 44:05min)                      Slides.
  2. Parametric Surfaces
    Video. (93MB, 43:50min)                      Slides.
  3. Planes
    Video. (65MB, 54:55min)                      Slides.
  4. Conic Sections and Quadric Surfaces
    Video. (97MB, 35:45min)                      Slides.
  5. Non-Rectangular Coordinate Systems
    Video. (40MB, 36:50min)                      Slides.
  6. Limits and Continuity for Multivariable Functions
    Video. (35MB, 29:00min)                      Slides.

 

Integration of Multivariable Functions

  1. Definite Integrals of Multivariable Functions
    Video. (67MB, 55:06min)                      Slides.
  2. Iterated Integrals and Fubini's Theorem
    Video. (42MB, 32:43min)                      Slides.
  3. Double Integrals over General Regions
    Video. (33MB, 36:14min)                      Slides.
  4. Triple Integrals over General Regions
    Video. (38MB, 38:30min)                      Slides.
  5. Double Integrals in Polar Coordinates
    Video. (40MB, 41:55min)                      Slides.
  6. Triple Integrals in Non-Rectangular Coordinate Systems
    Video. (42MB, 41:53min)                      Slides.

 

Differentiation of Multivariable Functions

  1. Partial Derivatives
    Video. (65MB, 47:15min)                      Slides.
  2. The Chain Rule
    Video. (52MB, 44:06min)                      Slides.
  3. Directional Derivatives and the Gradient
    Video. (80MB, 52:57min)                      Slides.
  4. Tangent Planes
    Video. (79MB, 60:05min)                      Slides.

 

Multivariable Optimization

  1. Relative Extrema of Multivariable Functions
    Video. (31MB, 30:02min)                      Slides.
  2. Absolute Extrema
    Video. (40MB, 40:50min)                      Slides.
  3. Lagrange Multipliers
    Video. (35MB, 28:38min)                      Slides.

 

Vector Fields

  1. Vector Fields
    Video. (52MB, 47:29min)                      Slides.
  2. Line Integrals of Vector Fields
    Video. (50MB, 51:47min)                      Slides.
  3. The Fundamental Theorem for Line Integrals
    Video. (37MB, 35:38min)                      Slides.

 

Change of Variables and Surface Area

  1. Surface Area of a Parametric Surface
    Video. (47MB, 45:01min)                      Slides.
  2. The Multivariable Change of Variable Formula
    Video. (58MB, 54:25min)                      Slides.

 

Vector Calculus

  1. Surface Integrals of Vector Fields
    Video. (85MB, 77:01min)                      Slides.
  2. The Divergence Theorem
    Video. (57MB, 55:18min)                      Slides.
  3. Curl and Stokes' Theorem
    Video. (69MB, 62:13min)                      Slides.
  4. Gradient, Divergence and Curl
    Video. (37MB, 30:30min)                      Slides.
  5. Green's Theorem
    Video. (25MB, 19:17min)                      Slides.