Partial Differential Equations - Course Notes with Examples

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 3rd-year module, Partial Differential Equations. The course built on a previous module, Ordinary Differential Equations and expanded student's knowledge of Differential Equations. The course covered the topics: Types of PDEs, Cauchy Problems & Characteristics; Wave Equation; Canonical Forms of First & Second Order Equations; Hyperbolic, Parabolic & Eliptic PDEs; Quasi-Linear Equations & Shocks; Laplace's Equation; Green's Theorem; Heat Equation; Separation of Variables; Weierstrass M-Test; Dirichlet Problem. These notes are ideal for anyone studying partial differential equations looking for a complete set of notes with exam-like examples. This module overlapped with a Physics course at a postgraduate level, so the notes are suitable, probably even more so, for anyone studying Physics. The notes themselves are not a "copy and paste of the course content. Included in the notes are definitions of all terms in the course, a summary of all theorems with proofs and are complete with examples of questions that you may see in exams with full solutions.