VECTOR CALCULUS LECTURE 9

Опубликовано: 09 Март 2022
на канале: Kyle Broder
460
11

In this lecture, we discuss double integrals in polar coordinates, triple integrals in cylindrical coordinates, and Green's theorem for computing line integrals.

My textbook on vector calculus is available here: https://github.com/Kylebroder/VectorC...



Vector Calculus and Differential Equations Playlist --    • Computing Arc Length | Calculus 3 -- ...  

More videos on geometric algebra and the exterior algebra:
What is area? --    • Geometric Algebra -- What is area? | ...  
Why you don't understand the fundamental theorem of calculus --    • Why you don't understand the Fundamen...  
Why you don't understand Green's theorem --    • Why you don't understand GREEN'S THEO...  
Computing gradient vector fields --    • Gradient Vector Field Example -- Calc...  
Line Integral Example 1:    • EXAMPLE of COMPUTING a LINE INTEGRAL ...  
Line Integral Example 2:    • LINE INTEGRAL of SCALAR FIELD -- Vect...  
Line Integral Example 3:    • LINE INTEGRAL of SCALAR FIELD (Exampl...  
Older video on Line Integrals, Mass, and Density:    • Calculating line integrals, Mass and ...  
Stokes' theorem and Path Independence:    • Stokes' Theorem and Path Independence...  
Conservative Vector Fields:    • Conservative Vector Fields | Calculus...  
Computing Arc Length:    • Computing Arc Length | Calculus 3 -- ...  
Introduction to Vector Calculus:    • INTRODUCTION to VECTOR CALCULUS calcu...  
How conservative vector fields relate to Euler's number:    • Conservative Vector Fields and Euler'...  



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Vector calculus is an important subject within mathematics, and is an important component of any young mathematician's career, and is sometimes the endpoint of their mathematics degree. This is a subject taken by those with a mathematics major, those doing mathematics for computer science, e.g., artificial intelligence and machine learning, and more broad areas of applied mathematics.


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