# MAT 642 — Theory of Partial Differential Equations (NDU)

> MAT 642 Theory of Partial Differential Equations at Notre Dame University – Louaize. no student contributions yet.

Source: https://studiety.com/ndu/course/4619
Retrieved: 2026-08-04

## Facts

- Course code: MAT 642
- Title: Theory of Partial Differential Equations
- University: Notre Dame University – Louaize (NDU)
- Subject: Mathematics
- Faculty: Faculty of Natural and Applied Sciences
- Credits: 3

## Catalogue description

The course covers the following topics: single First-Order equation, the Cauchy problem, systems of first-order equations, characteristics, the CauchyKowalevski Existence and Uniqueness Theorem, elliptic equations, the Laplace equation, the Lagrange-Green identity, the maximum principle, harmonic and subharmonic functions, Green’s function and the Poisson formula, hyperbolic equations in higher dimensions, the wave equation, the method of Spherical means, Hadamard’s method of descent, hyperbolic equations with constant coefficients, solution by the n-dimensional Fourier Transform, Parabolic equations, and the Heat equation. Prerequisite: Graduate Standing. MAT

## Quick answers

### What is MAT 642 at NDU?

MAT 642 Theory of Partial Differential Equations is a 3-credit course at Notre Dame University – Louaize (NDU), in the Faculty of Natural and Applied Sciences. The course covers the following topics: single First-Order equation, the Cauchy problem, systems of first-order equations, characteristics, the CauchyKowalevski Existence and Uniqueness Theorem, elliptic equations, the Laplace equation, the Lagrange-Green identity, the maximum principle, harmonic and subharmonic functions, Green’s function and the Poisson formula, hyperbolic equations in higher dimensions, the wave equation, the method of Spherical means, Hadamard’s method of descent, hyperbolic…

### How many credits is MAT 642?

MAT 642 Theory of Partial Differential Equations is worth 3 credits at NDU.

## See also

- [All Mathematics courses at NDU](https://studiety.com/ndu/subject/mathematics.md)
- [Every NDU subject](https://studiety.com/ndu/subjects.md)

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