Mastering Vectors, Vector Fields, and Gradients in Multivariable Calculus ๐Ÿ“

Discover the fundamentals of vectors, explore vector fields with practical examples, and learn how gradients play a crucial role in multivariable calculus. Perfect for building a strong foundation!

Mastering Vectors, Vector Fields, and Gradients in Multivariable Calculus ๐Ÿ“
Foolish Chemist
26.2K views โ€ข Jun 29, 2024
Mastering Vectors, Vector Fields, and Gradients in Multivariable Calculus ๐Ÿ“

About this video

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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#maths
#calculus
#multivariable
#multivariablecalculus
#perspective
#some

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Video Information

Views

26.2K

Likes

1.2K

Duration

20:26

Published

Jun 29, 2024

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