Featured Programs
Experiential Learning Opportunities
Claim up to $1,000 in flight credits!
Get up to $1,000 in flight credits or grants toward study or internship programs abroad when you apply by January 01, 2025. See our Official Rules for full details.
Mechanics II
University of Galway - Direct Enroll Program
Galway, Ireland
Dates: 1/7/25 - 5/11/25
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.