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Applied Mathematics Department
Applied Mathematics has been offered as an additional subject
in St. Michael's since September 2005. Classes are currently held outside the
normal school timetable at a time mutually agreed by the teacher and the
students.
Students wishing to take the subject at senior cycle are asked to contact
Mr. J.
Kelly.
Revision Notes for the entire syllabus are available
here.
The following is a brief outline of the syllabus:
Candidates will be expected to know the dimensions of any
physical quantity dealt with. Knowledge of the relevant parts of the Mathematics
course is assumed. Candidates will be required to deal only with such cases as
can be treated in two dimensions.
N.B. Those parts of the syllabus which are in italics
belong to the Higher Level course only. The Higher Level course includes the
Ordinary Level course treated in greater depth.
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Motion of a particle. Displacement, velocity as vectors.
Applications of the vector addition law. Description of vectors in terms of
unit perpendicular vectors. Elementary treatment of relative motion.
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Newton's Laws. Mass, momentum. Acceleration and force as
vectors. Units and dimensions.
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Motion in a straight line under uniform acceleration e.g.
motion under gravity, motion on smooth and rough inclined planes. Work,
potential energy, kinetic energy, power. Application of energy conservation.
Motion of connected particles.
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Equilibrium of a particle under concurrent forces,
including friction.
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Centre of Gravity of simple bodies and systems of
particles. Moments and couples. Equilibrium of a rigid body or bodies.
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Liquid pressure. Thrust on a horizontal surface.
Archimedes' Principle.
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Projectiles. Projectiles on an inclined plane.
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Angular velocity. Uniform motion in a circle without
gravitational forces. Conical pendulum. Circular orbits.
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Conservation of momentum. Collisions. Direct collisions,
elastic and inelastic collisions. Oblique collisions of smooth elastic
spheres in two dimensions.
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Simple harmonic motion of a particle in a straight
line. (Application of simple harmonic motion to include the simple
pendulum).
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Motion of a rigid body about a fixed axis.
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(a) Calculation of moments of
inertia for a rod, rectangular lamina, circular lamina and compound bodies
formed of those. (Sphere is excluded). Application of parallel and
perpendicular axes theorems with proofs done as class work. Idea of radius
of gyration. Application of the conservation of energy principle to a
rotating body.
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(b) Application of the principle of
angular momentum, rate of change of angular momentum about a fixed axis
equals the total external moment about that axis. Compound pendulum. Simple
applications.
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Ordinary differential equations, and applications:
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(a) first order, variables
separable.
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(b) second order reducing to type
(a).
Format of examination papers:
Ordinary Level: six questions to be answered out of nine.
Higher Level: six questions to be answered out of ten.
Current Students
| 6th Year |
5th Year |
| Robert Aboud |
Conor Digan |
| Michael Andreason |
Kevin Douglas |
| Mark Brazil |
James Delahunty |
| James Brown |
Chris Geary |
| Niall Cosgrave |
Eoin O'Driscoll |
| Eoin Fitzpatrick |
Ben O'Hare |
| Sean Hughes |
Robert Owens |
| Darragh Jones |
Cian Poland |
| Stephen Keane |
David Reynolds |
| Conor Looney |
Ronnie Tallon |
| Alex Lynch |
Philippe Treacy |
| Nicholas McGovern |
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| Conor O'Leary |
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| Jack Pierse |
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| Daniel Quill |
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| Keith Stringer |
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