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Spring 2019 Applied Mathematics E4001 section 001

Call Number 22622
Day & Time
TR 1:10pm-2:25pm
1024 Seeley W. Mudd Building
Points 3
Grading Mode Standard
Approvals Required None
Instructor Marc W Spiegelman
Method of Instruction Classroom
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 47 students (70 max) as of 5:04PM Saturday, May 18, 2019
Status Full
Final Exam Day/Time
T 1:10pm-4:00pm
Final Location 503 Hamilton Hall
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 05/18/19 17:04    web update 05/18/19 17:20