NOTE: Course information changes frequently, including Methods of Instruction. Please revisit these pages periodically for the most recent and up-to-date course 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 | 55 students (100 max) as of 2:12PM Saturday, February 27, 2021 |

Subject | Applied Mathematics |

Number | E4001 |

Section | 001 |

Division | School of Engineering and Applied Science: Graduate |

Campus | Morningside |

Section key | 20203APMA4001E001 |

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