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
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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.