Core unitUnit 21 of 24
Partial Differential Equations
Learn how equations involving multiple variables describe heat, waves, fluids, and other physical phenomena.
Difficulty
Beginner
Estimated study
200 hours
Duration
Self-paced
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About this unit
Unit overview
This unit studies equations that describe spatial and temporal change in continuous systems. You will derive and solve classical equations for heat, waves and potential while interpreting boundary and initial conditions.
Learning outcomes
What you’ll learn
- 01Classify common second-order partial differential equations
- 02Solve boundary-value problems using separation of variables
- 03Use Fourier series and transforms in PDE solutions
- 04Interpret heat, wave and Laplace equations physically and mathematically