APMA E4001 Principles of Applied Mathematics. Lect: 3.
Prerequisites: Introductory Linear Algebra required. Ordinary Differential Equations recommended.
Review of finite-dimensional vector spaces and elementary matrix theory. Linear transformations, change of basis, eigenspaces. Matrix representation of linear operators and diagonalization. Applications to difference equations, Markov processes, ordinary differential equations, and stability of nonlinear dynamical systems. Inner product spaces, projection operators, orthogonal bases, Gram-Schmidt orthogonalization. Least squares method, pseudo-inverses, singular value decomposition. Adjoint operators, Hermitian and unitary operators, Fredholm Alternative Theorem. Fourier series and eigenfunction expansions. Introduction to the theory of distributions and the Fourier Integral Transform. Green's functions. Application to Partial Differential Equations.
Spring 2020: APMA E4001
Course Number Section/Call Number Times/Location Instructor Points Enrollment
APMA 4001 001/12762 T Th 1:10pm - 2:25pm
601 Fairchild Life Sciences Bldg Amir Sagiv 3 36/70