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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College > Calculus III

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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College > Calculus III

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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College > Calculus III

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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College > Calculus III

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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College > Calculus III

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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College > Calculus III

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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College > Calculus III

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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College > Calculus III

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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College > Calculus III

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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College > Calculus III

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 ...