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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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