25 episodes

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

# Calculus Revisited: Multivariable Calculus MIT

• Education

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

• 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"

• 1 sec
• 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.

• 1 sec
• 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.

• 1 sec
• 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.

• 1 sec
• 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.

• 1 sec
• 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.

• 1 sec

## 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.