Calculus Revisited: Multivariable Calculus MIT

 Education

This course is a study of the calculus of functions of several variables (vector arithmetic and vector calculus).
License: Creative Commons BYNCSA
More information at ocw.mit.edu/terms

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Part I: Vector Arithmetic, Lecture 1: The "Game" of Mathematics
Herb Gross introduces Calculus Revisited part 2  functions of several variables and discusses the overarching theme "The Game of Mathematics"

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Part I: Vector Arithmetic, Lecture 2: "Arrow" Arithmetic
Herb Gross reviews the definition of vectors and vector arithmetic.

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Part I: Vector Arithmetic, Lecture 3: ThreeDimensional Vectors
Herb Gross introduces 3dimensional vectors.

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Part I: Vector Arithmetic, Lecture 4: The Dot Product
Herb Gross motivates the definition of the dot product and shows how to calculate the dot product of two vectors in 3space.

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Part I: Vector Arithmetic, Lecture 5: The Cross Product
Herb Gross defines the cross product of two vectors.

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Part I: Vector Arithmetic, Lecture 6: Equations of Lines and Planes
Herb Gross discusses the topic of lines and planes in 3dimensional space.
Customer Reviews
The “Game” of Mathematics
My favorite episode is, “The Game of Mathematics” it brought to mind the following quote:
“Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.”
— Godfrey Harold Hardy.
Amazing!
Blows any modern professor out of the water. Best lecture on calc 3 I've seen.
Fantastic
Professor Gross is an excellent teacher.