Partial Differential Equations

Partial Differential Equations explores the mathematical techniques for solving equations involving multivariable functions and their partial derivatives.

Study Strategies

Visualize and Interpret Solutions

See the Math in Action

Graphs, animations, and diagrams make understanding PDE solutions much easier. Whenever possible, sketch the solution or use software to visualize how the system evolves over time and space.

  • Plot temperature profiles or wave shapes as they change.
  • Look for patterns: does the solution settle down, oscillate, or spread out?
  • Connect the math to physical intuition—imagine what’s happening in the real world.

Visualization turns abstract equations into something you can see and understand!

Examples

  • Plotting the cooling curve for a hot object.

  • Using a computer to animate a vibrating drumhead.