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Vectors, Vector Fields, and Gradients | Multivariable Calculus

mathematics

multivariable calculus

maths

calculus

math

vector

vector field

vector valued function

vectors

theorem

curl

divergence

gradient

map of mathematics

education

boundaries of math

Автор: Foolish Chemist

Загружено: 2024-06-29

Просмотров: 20072

Описание: In this video, we introduce the idea of a vector in detail with several examples. Then, we demonstrate the utility of vectors in defining vector-valued functions and vector fields. Finally, we wrap it up by showing why vectors and a vector fields are so fundamental to multivariable calculus: by moving towards gradients! Hope you enjoy!

Chapters:
0:00 Intro
1:07 What is Vector?
5:21 Vector-Valued Functions
8:14 Vector Fields
9:45 Vector Fields in Multivariable Calculus
10:58 Input Spaces
14:56 Gradients
18:58 Exercises

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#calculus
#multivariable
#multivariablecalculus
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