Lecture 33: Topological considerations and Maxwell's equations
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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:
- Lecture Notes - Lecture Notes from this lesson.
- Transcript of Lesson - Written transcript from this lesson.
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?
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Staff Review
This lesson takes some of the topics from this course and relates it to topology and physics applications. Maxwellâs 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 oneâs interest in these topics.
