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Spring 2019 Applied Mathematics E4001 section 001
PRINCIPLES OF APPLIED MATH

Call Number 22622
Day & Time
Location
TR 1:10pm-2:25pm
1024 Seeley W. Mudd Building
Points 3
Approvals Required None
Instructor Marc W Spiegelman
Type LECTURE
Course Description 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.
Web Site Vergil
Department Applied Physics and Applied Mathematics
Enrollment 59 students (70 max) as of 12:29AM Saturday, December 15, 2018
Subject Applied Mathematics
Number E4001
Section 001
Division School of Engineering and Applied Science: Graduate
Open To Columbia College, Engineering and Applied Science: Undergraduate, General Studies, Barnard, Graduate School of Arts and Science, Engineering and Applied Science: Graduate
Campus Morningside
Section key 20191APMA4001E001

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SIS update 12/15/18 00:29    web update 12/15/18 07:35