Calculus 3 Course acquired through MIT OpenCourseWare by OCW

This collection of videos is from the video series Calculus 3 Course acquired through MIT OpenCourseWare

Multivariable Calculus course taught by Denis Auroux from Fall 2007 Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 14, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.

Lecture 1: Dot product preview image
00:38:40
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Lecture 1: Dot product

  • Learn about dot products of three dimensional vectors.
Lecture 2: Determinants & cross product preview image
00:52:50
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  • 5361 views
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Lecture 2: Determinants & cross product

  • Learn about finding determinants and cross products of vectors and their applications.
Lecture 3: Matrices and Inverse Matrices preview image
00:51:04
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Lecture 3: Matrices and Inverse Matrices

  • Learn how to use matrices and find inverse matrices as they pertain to vectors.
Lecture 4: Square systems and equations of planes. preview image
00:49:02
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Lecture 4: Square systems and equations of planes.

  • Learn how to find equations for planes and determine if and where planes intersect each other usi...
Lecture 5: Parametric equations for lines and curves. preview image
00:50:49
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Lecture 5: Parametric equations for lines and curves.

  • Learn how to write parametric equations for lines and curves.
Lecture 6: Velocity, acceleration, and Kepler's second law. preview image
00:48:03
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Lecture 6: Velocity, acceleration, and Kepler's second law.

  • Learn more about parametric equations and how they pertain to velocity, acceleration, and Kepler'...
Lecture 7: Review for exam 1 preview image
00:49:49
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Lecture 7: Review for exam 1

  • This is a review lecture on the first 6 lectures in preparation for the first exam.
Lecture 8: Level curves, partial derivatives, and tangent plane approximation preview image
00:46:12
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Lecture 8: Level curves, partial derivatives, and tangent plane approximation

  • A lecture on level curves, partial derivatives, and tangent planes. The beginning of a study of ...
Lecture 9: Max-min problems and least squares. preview image
00:49:43
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Lecture 9: Max-min problems and least squares.

  • A lecture on finding maximum and minimum points as well as the least squares analysis.
Lecture 10: Second derivative test; and boundaries and infinity preview image
00:52:17
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Lecture 10: Second derivative test; and boundaries and infinity

  • Learn about the second derivative test and how it can be used to determine things about critical ...