Lecture 33: Topological considerations and Maxwell's equations

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Taught by OCW
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Lesson Summary:

In this lesson, you will learn about topological considerations and an introduction to Maxwell's equations. The lesson explains what curl says about force fields and the interpretation of curl of a force field as the torque per unit moment of inertia. The lesson also discusses how electric and magnetic fields behave and how they are caused by electric charges and their motions. The lesson concludes with a brief overview of two of Maxwell's equations, Gauss-Coulomb Law and Faraday's Law, and their applications.

Lesson Description:

Learn about some topological applications of this course as well as an introduction to Maxwell's equations.

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.

Additional Resources:
Questions answered by this video:
  • 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?
  • Staff Review

    • Currently 4.0/5 Stars.
    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.