Address: Room 1.7A, Department of Theoretical Physics, Science Building, North Campus

E-Mail: jiri DOT vala AT mu DOT ie

Tuesdays, 9:05am-9:55am, Hall D, Arts Building

Wednesdays, 9:05pm-9:55pm, JHL 7, Arts Building

Address: Hamilton Institute, Eolas Building, 3rd floor, North Campus

E-Mail: samuel DOT diabate AT mu DOT ie

Fridays, 11:05pm-11:55pm, Hall B, Arts Building

This module will be lecture-driven, and the assignments and exam will be based entirely on the material presented in the lectures and tutorials. There is no required textbook for this module; however, the following books might be useful as supplements:

Mary L. Boas,

Erwin Kreyszig,

D. G. Zill, W. S. Wright and M. R. Cullen,

The mathematical background of the students taking this module can vary wildly. To try to address this issue, I include here a link to the notes (written by Charles Nash) for the EE106 module that we teach to the first-year engineers. The vast majority of it is familiar to all of you, but if you feel you need a bit of a reminder as to, say, the basics behind infinite series or what a Taylor series is (both of which will figure into this module), it should serve as a good starting point. Please take the time to go through it.

Your mark for this module will be based on your total continuous assessment mark (20%) and your exam mark (80%). The continuous assessment will consist of problem sets issued (roughly) every week. They will be made available on this webpage (see below) but should be submitted as single scanned PDFs to the module's Moodle page here.

Introduction to MP361

Introduction to differential equations

First order ODEs I

First order ODEs II

Introduction to higher-order ODEs

Second-order ODEs: homogeneous equations, method of undetermined parameters

Second-order ODEs: method of variation of parameters

Second-order ODEs: Cauchy-Euler equation

Linear models

Green's function method: Initial value problems

Green's function method: Boundary value problems

Power series solutions of linear differential equations: Introduction

Power series solutions: Ordinary points

Power series solutions: Singular points

Solutions using special functions I: Bessel equation

Solutions using special functions I: Legendre, Laguerre and hypergeometric equations

Laplace transform I: Introduction

Laplace transform II

Laplace transform III

Fourier series and Fourier transform

Assignment 1 and the solutions (average mark: )

Assignment 2 and the solutions (average mark: )

Assignment 3 and the solutions (average mark: )

Assignment 4 and the solutions (average mark: )

Assignment 5 and the solutions (average mark: )

Assignment 6 and the solutions (average mark: )

Assignment 7 and the solutions (average mark: )

Assignment 8 and the solutions (average mark: )

Assignment 9 and the solutions (average mark: )

Assignment 10 and the solutions (average mark: )