3

This course introduces the basic ideas for understanding the dynamics of continuum systems, by studying specific examples from a range of different fields.

FREE
This course includes
Hours of videos

666 years, 7 months

Units & Quizzes

24

Unlimited Lifetime access
Access on mobile app
Certificate of Completion

Our goal will be to explain the general principles, and also to illustrate them via important physical effects. A parallel goal of this course is to give you an introduction to mathematical modeling.

Course Currilcum

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