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Calculus Revisited: Multivariable Calculus
Part I: Vector Arithmetic
Professor Gross introduces the arithmetic of vectors in terms of the structure of a game. In particular, he shows how the arithmetic of vectors helps us define planes and lines analytically.
Lecture 1: The "Game" of Mathematics
Lecture 2: "Arrow" Arithmetic
Lecture 3: Three-Dimensional Vectors
Lecture 4: The Dot Product
Lecture 5: The Cross Product
Lecture 6: Equations of Lines & Planes
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Massachusetts Institute of Technology