Applied Mathematics

This page covers applied mathematics. This includes mechanics and the associated differential equations.

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Advanced Level Physics

Comprehensive set of notes, including many diagraps, for Advanced Level Physics
Download PDF 476 (3128)

MSM1A2 Dynamical Systems I

Introduction to differential equations through mechanics and mathematical biology. Also contains some special relativity.
Download PDF 89 (110)

MSMXA2 Vector Calculus

Main results of vector calculus (with proofs), including the Divergence Theorem, Stoke's Theorem, and Green's Theorem. Uses Fourier series to solve partial differential equations including the Heat Equation (with both Dirichlet and Neumann boundary conditions) and Laplace's Equation.
Download DVI 56 (155)
Download PDF 368 (498)

MSMYA1 Partial Differential Equations

Methods for solving partial differential equations, including D'Allembert's solution, method of characteristics, use of Green's functions, conformal mappings, and integral transforms.
Download DVI 46 (125)
Download PDF 132 (256)