National University of Ireland, Galway
Area of Study
Taught In English
Admission to this course is subject to the agreement of the Head of the Discipline offering the course and will depend on the applicant's academic background in the relevant subject area.
Course Level Recommendations
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
Recommended U.S. Semester Credits2
Recommended U.S. Quarter Units3
Hours & Credits
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.
formulate a well-posed problem for the heat equation;
solve some initial boundary value problems for the heat equation using the method of separation of variables;
find the general solution to the one-dimensional wave equation using characteristic variables;
construct solutions to the one-dimensional wave equation on an infinite and semi-infinite domain using characteristic variables;
construct separable variable solutions to the wave equation;
construct separable variable solutions to Laplace's equation;
state Einstein's two postulates of special relativity;
perform simple calculations in special relativity involving time dilation, length contraction, velocity transformations, energy and momentum.
Courses and course hours of instruction are subject to change.
Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.
ECTS (European Credit Transfer and Accumulation System) credits are converted to semester credits/quarter units differently among U.S. universities. Students should confirm the conversion scale used at their home university when determining credit transfer.
Please reference fall and spring course lists as not all courses are taught during both semesters.
Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.