Lecture 33: Topological considerations and Maxwell's equations

Lecture 33: Topological considerations and Maxwell's equations
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Taught by OCW
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 21, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.
Learn about some topological applications of this course as well as an introduction to Maxwell's equations.
  • What is toplogy?
  • How does multivariable Calculus relate to topology and physics?
  • How do you find torque using curl?
  • How do you find angular velocity and angular acceleration using curl?
  • What are Maxwell's equations?
  • What is the Gauss-Coulomb law?
  • What is Faraday's law?
  • How does Calculus relate to Physics?
  • How are Calculus-based Physics formulas derived?
This lesson takes some of the topics from this course and relates it to topology and physics applications. Maxwell’s equations and their relation to electric / magnetic fields are discussed as an application to this mathematics. Some other laws are also introduced as consequences of some multivariable Calculus topics. Although this is just a brief introduction into these Physics concepts, it does a good job of piquing one’s interest in these topics.
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Reviewed by MathVids Staff on March 22, 2009.
 
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