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Created by:
Last updated:
November 4, 2022
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
This is the first semester of a two-semester sequence on Differential Analysis.
Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.
Course Curriculum
- Continuous Functions Unlimited
- Measures and σ-algebras Unlimited
- Measureability of Functions Unlimited
- Integration Unlimited
- Hilbert Space Unlimited
- Test Functions Unlimited
- Tempered Distributions Unlimited
- Convolution and Density Unlimited
- Fourier Inversion Unlimited
- Sobolev Embedding Unlimited
- Differential Operators Unlimited
- Cone Support and Wavefront Set Unlimited
- Homogeneous Distributions Unlimited
- Spectral Theorem Unlimited
- Problems Unlimited
- Solutions Unlimited
- References Unlimited
About the instructor
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Massachusetts Institute of Technology
