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Mathematical Methods II University of Galway - Engineering & Computer Science Program Spring 2020 Semester - Galway

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Mathematical Methods II

Mathematical Methods II Course Overview

OVERVIEW

CEA CAPA Partner Institution: University of Galway
Location: Galway, Ireland
Primary Subject Area: Mathematics
Other Subject Area: Physics
Instruction in: English
Course Code: MP346
Transcript Source: Partner Institution
Course Details: Level 300
Recommended Semester Credits: 2.5
Contact Hours: 36

DESCRIPTION

This is a mathematical methods course, and amongst the topics considered are the heat equation, Laplace's equation, Sturm-Liouville theory, the Fourier transform, and the numerical solution of partial differential equations using finite difference techniques.

Learning Outcomes
1. Solve the 1-dimensional heat equation subject to different boundary conditions and initial conditions
2. Prove orthogonality of eigensolutions and reality of eigenvalues of a Sturm-Liouville system
3. Calculate eigenvalues and construct corresponding eigenfunctions for some simple Sturm-Liouville problems
4. Solve the 2-dimensional Laplace equation subject to different boundary conditions in a rectangular or a rotationally symmetric region
5. Solve the 1-dimensional heat equation on an infinite region by use of the Fourier transform
6. Solve the 1-d heat equation numerically by use of the finite difference method

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