top of page

Multivariable Calculus + Physics
What You’ll Learn:

01:15:35
L1 vectors

01:13:10
L2 dot product

01:12:20
L3 cross product

01:15:37
L4 lines
Shorts

18:53
Introduction to scalars and vectors
Some examples of scalars and vectors are given.
A summary of this video corresponds to page 1 of the pdf
https://sites.math.rutgers.edu/~me498/MultivariableCalculus/vectorgeometry-2
![Operations on vectors [geometric interpretation]](https://i.ytimg.com/vi/o8DWtoMRT4w/maxresdefault.jpg)
27:09
Operations on vectors [geometric interpretation]
The geometric interpretation of multiplying a vector by a scalar and addition (subtraction) of vectors is given. It corresponds to the material on pages 2 and 3 of the pdf https://sites.math.rutgers.edu/~me498/MultivariableCalculus/vectorgeometry-2
![Operations on vectors [algebraic point of view]](https://i.ytimg.com/vi/4vCSX58a7Cg/maxresdefault.jpg)
19:29
Operations on vectors [algebraic point of view]
The algebraic interpretation of multiplying a vector by a scalar and addition (subtraction) of vectors is given. It corresponds to the material on pages 4, 6 and 6 of the pdf
https://sites.math.rutgers.edu/~me498/MultivariableCalculus/vectorgeometry-2

23:39
Definition of dot product
An explanation of the dot product is given. This corresponds to page 7 on the pdf
https://sites.math.rutgers.edu/~me498/MultivariableCalculus/vectorgeometry-2
Multivariable Calculus
- Recorded Notes
Overview
Our Multivariable Calculus: Recorded Notes video series provides a structured, lecture-style approach to key topics in calculus of multiple variables. Covering partial derivatives, multiple integrals, vector fields, and theorems like Green’s, Stokes’, and Gauss’, these videos offer clear explanations and step-by-step problem-solving. Perfect for students looking for detailed, note-based instruction, this series helps bridge the gap between theory and application.

49:22
L1 (backup) Introduction to Multivariable Calculus

01:22:42
L2: Some vector operations and the dot product

01:25:24
L3: More about dot product and the cross product

01:21:14
L4: Determinants and vector projections
bottom of page







