Requirements/prerequisites:
prerequisite: MA2331
Duration: Hilary term, 11 weeks
Number of lectures per week: 3 lectures including tutorials per week
Assessment:
ECTS credits: 5
End-of-year Examination:
This module will be examined jointly with MA2331
in a 3-hour examination in Trinity term,
except that those taking just one of the
two modules will have a 2 hour examination.
Description: (Preliminary.) Sturm-Liouville theory; Partial Differential Equations; Boundary value problems; Harmonic functions; Separation of variables in cartesian and other coordinates.
Approximately the second half of previous module 231. Refer to http://www.maths.tcd.ie/pub/official/Courses08-09/231.html
Objectives:
Introduction to basic techniques of applied mathematics, with
applications.
Learning Outcomes: On successful completion of this module, students will be able to:
state and prove the Green's, Stokes' and Gauss' integral theorems;
solve homogeneous and non-homogeneous first and second order ordinary differential equations with constant coefficients;
determine series solutions (including Frobenius method) of first and second order ordinary differential equations with non-constant coefficients;
apply separation of variables to solve partial differential equations;
apply their knowledge in mathematical and physical domains where relevant.
Sep 12, 2011