Mathematics of Physical Systems
Not available in 2012
Previously offered in 2006, 2005, 2004
This course gives a self-contained introduction to classical mechanics. Science students will see how mechanics can be subjected to the rigours of mathematics, whilst mathematics students will have an opportunity to see how mathematics can be applied in a physical situation.
Topics Covered will illustrate the application of a range of mathematical topics: differential equations, linear algebra and rudimentary concepts of symmetry goups and geometry.
This course provides a mathematical basis for further study in physics at the 3000 level.
1. To help students recognise the relevant mathematics underlying a range of physical problems
2. To teach students to apply existing mathematical knowledge to problems in the physical
3. To assist students to develop their analytic and problem solving skills
4. To enhance students laboratory and computing skills
5. To develop written communication skills.
* Newton's Laws
* Conservative systems
* Symmetries and conservation laws (momentum, angular momentum)
* Central forces
* Systems of particles, rigid bodies
* Non-inertial frames and Euler's equations
* The inertia tensor
* Hamiltonian formalism
* Coupled oscillations and normal modes
PHYS1220 and MATH1120
Modes of Delivery
Tutorial: for 1 hour(s) per Week for 13 weeks
Lecture: for 2 hour(s) per Week for 13 weeks
Laboratory: for 3 hour(s) per Week for 4 weeks