VECTOR CALCULUS LECTURE 9
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 -- Vecto...
More videos on geometric algebra and the exterior algebra:
What is area? -- • Geometric Algebra -- What is area? | Wedge...
Why you don't understand the fundamental theorem of calculus -- • Why you don't understand the Fundamental T...
Why you don't understand Green's theorem -- • Why you don't understand GREEN'S THEOREM -...
Computing gradient vector fields -- • Gradient Vector Field Example -- Calculus ...
Line Integral Example 1: • EXAMPLE of COMPUTING a LINE INTEGRAL of SC...
Line Integral Example 2: • LINE INTEGRAL of SCALAR FIELD -- Vector Ca...
Line Integral Example 3: • LINE INTEGRAL of SCALAR FIELD (Example 3) ...
Older video on Line Integrals, Mass, and Density: • Calculating line integrals, Mass and Densi...
Stokes' theorem and Path Independence: • Stokes' Theorem and Path Independence | Ve...
Conservative Vector Fields: • Conservative Vector Fields | Calculus 3 --...
Computing Arc Length: • Computing Arc Length | Calculus 3 -- Vecto...
Introduction to Vector Calculus: • INTRODUCTION to VECTOR CALCULUS calculus 3
How conservative vector fields relate to Euler's number: • Conservative Vector Fields and Euler's num...
💪🙏 Support the channel by signing up to a free trial of Skillshare using the affiliate link https://www.skillshare.com/r/profile/...
If you would like free access to the manim course without signing up to Skillshare, send me an email and I'll send you a free link to the course :)
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.