Review of geometrical optics; wave properties of light and the wave equation; Helmholtz equation; wave optics, including Fresnel and Fraunhofer diffr...
Over the last 50 years or so nonlinear dynamics and chaos has revolutionized our understanding of the complexity of the natural world. However, the va...
Learn modern theory of partial differential equations (PDEs) with emphasis on linear and nonlinear PDEs arising in various applications such as mathem...
Through lectures and assignments, explore a variety of PDEs with emphasis on the theoretical aspects and related techniques to find exact solutions an...
Learn the fundamental objects in algebra, especially representation theory, with hands-on experience in computing representations and constructing sop...
Numerical solutions to partial differential equations have wide application in many areas of physics, mechanics, engineering, and applied mathematics....
A geometrically oriented introduction to the calculus of vector and tensor fields on three-dimensional Euclidean point space, with applications to the...
A broad introduction to stochastic processes, focusing on their application to describe natural phenomena and on numerical simulations rather than on ...
