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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

Course Curriculum

Module: 01
Math Basics 00:05:00
Dimensional Analysis 00:05:00
Dimensionless Groups 00:05:00
Kepler’s Problem and Hamiltonian Dynamics 00:10:00
Random Walkers and Diffusion 00:05:00
Solving the Diffusion Equation 00:10:00
Module: 02
Linear Stability Analysis & Pattern Formation 00:10:00
Variational Calculus 00:05:00
Surface Tension 00:05:00
Some Basic Differential Geometry 00:10:00
Elasticity 00:10:00
Towards Hydrodynamic Equations 00:10:00
Module: 03
The Navier-Stokes Equations 00:10:00
Low-Reynolds Number Limit 00:15:00
The Coffee Cup 00:05:00
Singular Perturbations 00:05:00
Towards Airplane Fight 00:05:00
Euler Equations: Basic Solutions and Forces 00:05:00
Module: 04
Stream Functions and Conformal Maps 00:05:00
Classical Aerofoil Theory 00:10:00
Rotating Flows 00:05:00
The Ekman Layer 00:05:00
Water Waves 00:10:00
Solitons 00:05:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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