This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods and tools for solving these PDEs, such as separation of variables, Fourier series and transforms, eigenvalue problems, and the Wave Equation in One Space Variable. And at the end of this course, it will discuss Green’s Function Method for Solving ODEs, PDEs.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
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Course Credit: MIT
Course Curriculum
1D Heat Equation | 00:45:00 | ||
1D Wave Equation | 00:25:00 | ||
Quasi Linear PDEs | 00:10:00 | ||
The Heat and Wave Equations in 2D and 3D | 00:45:00 | ||
Infinite Domain Problems and the Fourier Transform | 00:10:00 | ||
Green’s Functions | 00:10:00 | ||
Assessment | |||
Submit Your Assignment | 00:00:00 | ||
Certification | 00:00:00 |
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