TRINITY COLLEGE DUBLIN

Mathematics 4 for SF Engineers

Course 2E2: Mathematics 4 (lecturer: Richard M. Timoney)


Topics

A syllabus is available.


Tutorial 1 25/10/2000
Laplace transforms of simple functions.
Tutorial 2 1/11/2000
Use of Laplace transforms for solving differential equations.
Tutorial 3 8/11/2000
Laplace transforms and convolutions.
Tutorial 4 15/11/2000
Impulse response, Laplace transforms of periodic functions.
Tutorial 5 22/11/2000
Z transforms and difference equations.
Tutorial 6 29/11/2000
Z transforms. (Use of further properties of Z, complex partial fractions for finding inverse Z transforms.)
Tutorial 7 6/12/2000
Z transfer function and impulse response, convolutions of sequences.
Tutorial 8 10/01/2001
Block diagrams for discrete systems, stability.

Notes

A short table of Laplace transforms.

A short table of Z transforms.

Past papers

The scholarship questions in 2001 relating to the first term of 2E2 are available. The exam paper set in summer 2000 is available as a PDF format file as is the scholarship paper in 2E1/2E2 from 2000. You may also want to access other years papers for 2E1, but the syllabus (especially for 2E2) changed dramatically in 1999-2000..

Updated May 16th, 2001
Richard M. Timoney