26 episodes

This course is a study of the calculus of functions of several variables (vector arithmetic and vector calculus).

License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms

Calculus Revisited: Multivariable Calculus MIT

    • Education
    • 4.4 • 22 Ratings

This course is a study of the calculus of functions of several variables (vector arithmetic and vector calculus).

License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms

    • video
    Part I: Vector Arithmetic, Lecture 1: The "Game" of Mathematics

    Part I: Vector Arithmetic, Lecture 1: The "Game" of Mathematics

    Herb Gross introduces Calculus Revisited part 2 - functions of several variables and discusses the over-arching theme "The Game of Mathematics"

    • 20 min
    • video
    Part I: Vector Arithmetic, Lecture 2: "Arrow" Arithmetic

    Part I: Vector Arithmetic, Lecture 2: "Arrow" Arithmetic

    Herb Gross reviews the definition of vectors and vector arithmetic.

    • 28 min
    • video
    Part I: Vector Arithmetic, Lecture 3: Three-Dimensional Vectors

    Part I: Vector Arithmetic, Lecture 3: Three-Dimensional Vectors

    Herb Gross introduces 3-dimensional vectors.

    • 26 min
    • video
    Part I: Vector Arithmetic, Lecture 4: The Dot Product

    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 3-space.

    • 30 min
    • video
    Part I: Vector Arithmetic, Lecture 5: The Cross Product

    Part I: Vector Arithmetic, Lecture 5: The Cross Product

    Herb Gross defines the cross product of two vectors.

    • 32 min
    • video
    Part I: Vector Arithmetic, Lecture 6: Equations of Lines and Planes

    Part I: Vector Arithmetic, Lecture 6: Equations of Lines and Planes

    Herb Gross discusses the topic of lines and planes in 3-dimensional space.

    • 28 min

Customer Reviews

4.4 out of 5
22 Ratings

22 Ratings

Sinai.Coons ,

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.

AX10M ,

Amazing!

Blows any modern professor out of the water. Best lecture on calc 3 I've seen.

DRose87 ,

Fantastic

Professor Gross is an excellent teacher.

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