Directory of Classes
NOTE: Course information changes frequently. Please re-visit these pages periodically for the most recent and up-to-date information.

Fall 2020 Applied Mathematics E4001 section 001
PRINCIPLES OF APPLIED MATH
PRINCIPLES OF APPLIED MAT

Call Number 12622
Day & Time
Location
MW 1:10pm-2:25pm
ONLINE ONLY
Points 3
Grading Mode Standard
Approvals Required None
Instructor Lu Zhang
Type LECTURE
Method of Instruction On-Line Only
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. Greens functions. Application to Partial Differential Equations.
Web Site Vergil
Department Applied Physics and Applied Mathematics
Enrollment 59 students (100 max) as of 8:04AM Friday, September 25, 2020
Subject Applied Mathematics
Number E4001
Section 001
Division School of Engineering and Applied Science: Graduate
Campus Morningside
Section key 20203APMA4001E001

Home      About This Directory      Online Bulletins      ColumbiaWeb      SSOL
SIS update 09/25/20 08:04    web update 09/26/20 17:18