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Graphic Representation of a multivariable

Multivariable Calculus + Physics

What You’ll Learn:

Introduction to vectors and curves in space, partial derivatives, double and triple integrals. It also gives an introduction to vector calculus, including Green, Stokes and the Divergence theorems.

L1 vectors
01:15:35
L1 vectors
L2 dot product
01:13:10
L2 dot product
L3 cross product
01:12:20
L3 cross product
L4 lines
01:15:37
L4 lines

Shorts

Introduction to scalars and vectors
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]
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]
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
Definition of dot product
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.

L1 (backup) Introduction to Multivariable Calculus
49:22
L1 (backup) Introduction to Multivariable Calculus
L2: Some vector operations and the dot product
01:22:42
L2: Some vector operations and the dot product
L3: More about dot product and the cross product
01:25:24
L3: More about dot product and the cross product
L4: Determinants and vector projections
01:21:14
L4: Determinants and vector projections

Multivariable Calculus

Multivariable calculus extends the concepts of single-variable calculus to higher dimensions, exploring functions of multiple variables, partial derivatives, multiple integrals, and vector calculus. 

3D interactive graphic Representation of a multivariable
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