Overview
Syllabus
Differential Forms | Introduction and the Tangent Space.
Differential Forms | What is a 1-form?.
Differential Forms | The geometry of multiplying 1-forms..
Differential Forms | What is an m-form?.
Differential Forms | What is an m-form?.
Differential Forms | Algebraic Properties of the Wedge Product.
Differential Forms | The dimension of the space of m-forms..
Differential Forms | What is a differential m-form?.
Differential Forms | Integrating 2-forms.
Differential Forms | Integrating m-forms..
Differential Forms | Examples of integrating 2-forms..
Differential Forms | Classic u-substitution via integrating 1-forms..
Differential Forms | Change of variables via integrating 2-forms..
Differential Forms | The exterior derivative..
Differential Forms | The product rule for the exterior derivative..
Differential Forms | Properties of the exterior derivative..
Differential Forms | The Hodge operator..
Differential Forms | The exterior derivative and vector calculus..
Differential Forms | The Hodge operator via an inner product..
Differential Forms | The Minkowski metric and the Hodge operator..
Maxwell's equations via differential forms..
Differential Forms | Integrals of m-forms over m-chains..
Differential Forms | Boundaries of m-cells and m-chains..
Taught by
Michael Penn
Reviews
5.0 rating, based on 1 Class Central review
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Really enjoyed this course, superbly presented using a long-forgotten device called "a chalk-board" - and how much better it was for it! I love the summary of lectures up to the current lecture at the start of each new lecture. I love the amount of…