This is the first lesson in a multivideo discussion focused on partial differential equations (PDEs).

In this video we introduce PDEs and compare them with ordinary differential equations (ODEs). We investigate how PDEs introduce additional complexity and richness to an engineering application. Topics include but are not limited to:
What is a PDE?
Notation for PDEs.
Classification of PDEs (linear, quasilinear, nonlinear).
Examples of PDEs.
Fundamental Theorem of linear PDEs (superposition).
Analytically solving a simple PDE.

ERRATA:
40:10: This should read p = +p_y

Additional videos in this series:
Introduction to Partial Differential Equations (   • Introduction to Partial Differential ...  )
Standing Waves Demonstration (   • Standing Waves Demonstration  )
Derivation of the 1D Wave Equation (   • Derivation of the 1D Wave Equation  )
Solving the 1D Wave Equation (   • Solving the 1D Wave Equation  )
Heat Transfer Demonstration (   • Heat Transfer Demonstration  )
Derivation of the Heat Equation (   • Derivation of the Heat Equation  )
Solving the 1D Heat Equation (   • Solving the 1D Heat Equation  )
Derivation and Solution of Laplace’s Equation (   • Derivation and Solution of Laplace’s ...  )
Derivation of the 2D Wave Equation (   • Derivation of the 2D Wave Equation  )
Solving the 2D Wave Equation (   • Solving the 2D Wave Equation  )
Numerically Solving Partial Differential Equations (   • Numerically Solving Partial Different...  )

Associated videos on software tools relevant to PDEs include:
Creating Movies and Animations in Mathematica (   • Creating Movies and Animations in Mat...  )
Creating Movies and Animations in Matlab (   • Creating Movies and Animations in Matlab  )

You can see all the videos related to partial differential equations at
   • Partial Differential Equations