University Mathematics
Partial Differential Equations
The equations of heat, waves and potentials: the classification of partial differential equations and the classical solution methods used in physics and engineering.
Curriculum / Syllabus
- First-Order Equations and the Method of Characteristics
- Classification of Second-Order Equations
- Fourier Series
- Separation of Variables
- The Heat Equation
- The Wave Equation and d'Alembert's Formula
- Laplace's Equation and Boundary Value Problems
Exam & Course Strategy
Exams are mostly long solution problems. We practise the whole chain: setting up the boundary conditions, separating variables, computing Fourier coefficients and checking the answer.