The aim of this course is to introduce the basic ideas for understanding the dynamics of continuum systems, by studying specific examples from a range of different fields. Our goal is to explain the general principles, and also to illustrate them via important physical effects. In addition to that, a parallel goal of this course is to give you an introduction to mathematical modeling.
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.
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Course Credit: MIT
|Kepler’s Problem and Hamiltonian Dynamics||00:10:00|
|Random Walkers and Diffusion||00:05:00|
|Solving the Diffusion Equation||00:10:00|
|Linear Stability Analysis & Pattern Formation||00:10:00|
|Some Basic Differential Geometry||00:10:00|
|Towards Hydrodynamic Equations||00:10:00|
|The Navier-Stokes Equations||00:10:00|
|Low-Reynolds Number Limit||00:15:00|
|The Coffee Cup||00:05:00|
|Towards Airplane Fight||00:05:00|
|Euler Equations: Basic Solutions and Forces||00:05:00|
|Stream Functions and Conformal Maps||00:05:00|
|Classical Aerofoil Theory||00:10:00|
|The Ekman Layer||00:05:00|
|Submit Your Assignment||00:00:00|
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