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Mechanics II
OVERVIEW
CEA CAPA Partner Institution: University of Galway
Location: Galway, Ireland
Primary Subject Area: Mathematics
Other Subject Area: Physics
Instruction in: English
Course Code: MP237
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 2.5
Contact Hours: 36
DESCRIPTION
This course consists principally of an introduction to the theory and applications of partial differential equations. Topics covered include the heat equation, the wave equation, Laplace's equation, and a brief introduction to the special theory of relativity.
Learning Outcomes
1. formulate a well-posed problem for the heat equation;
2. solve some initial boundary value problems for the heat equation using the method of separation of variables;
3. find the general solution to the one-dimensional wave equation using characteristic variables;
4. construct solutions to the one-dimensional wave equation on an infinite and semi-infinite domain using characteristic variables;
5. construct separable variable solutions to the wave equation;
6. construct separable variable solutions to Laplace's equation;
7. state Einstein's two postulates of special relativity;
8. perform simple calculations in special relativity involving time dilation, length contraction, velocity transformations, energy and momentum.
Learning Outcomes
1. formulate a well-posed problem for the heat equation;
2. solve some initial boundary value problems for the heat equation using the method of separation of variables;
3. find the general solution to the one-dimensional wave equation using characteristic variables;
4. construct solutions to the one-dimensional wave equation on an infinite and semi-infinite domain using characteristic variables;
5. construct separable variable solutions to the wave equation;
6. construct separable variable solutions to Laplace's equation;
7. state Einstein's two postulates of special relativity;
8. perform simple calculations in special relativity involving time dilation, length contraction, velocity transformations, energy and momentum.
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