Stage 2 Differential Equations

Differential Equation:
Isaac Newton originally studies behaviour of dynamical systems using differential equations. Mathematical models are often described with differential equations and they are widely used in many fields, including physics, chemistry, biology, economics etc. Mathematical methods used in solving differential equation also play an important in advanced studies. Key topics to learn are: Wronskians, series solutions, reduction of order, variation of parameters, Frobenius normal form, Bessel's equation, Legendre's equation, two points boundary problem, Fredholm alternative, Green's function, complete orthogonal system, Sturm-Liouville problems (inhomogeneous, singular), basic partial differential equation, elliptic eigen-problems, heat equation and wave equation.

1 則留言:

Pedro F Pardo 提到...

Bruce Ikenaga's note link doesn't work. He retired on August 2020 and he move his notes to this other site:

Diff Equations' notes are not ready yet but once he re upload it, it will be there.