This module is not currently running in 2024 to 2025.
This module introduces mathematical modelling and Newtonian mechanics. Tutorials and Maple worksheets will be used to support taught material.
The modelling cycle: General description with examples; Newton's law of cooling; population growth (Malthusian and logistic models); simple reaction kinetics (unimolecular and bimolecular reactions); dimensional consistency
Motion of a body: frames of reference; a particle's position vector and its time derivatives (velocity and acceleration) in Cartesian coordinates; mass, momentum and centre of mass; Newton's laws of motion; linear springs; gravitational acceleration and the pendulum; projectile motion
Orbital motion: Newton's law of gravitation; position, velocity and acceleration in plane polar coordinates; planetary motion and Kepler's laws.
Total contact hours: 49
Private study hours: 101
Total study hours: 150
80% examination and 20% coursework.
C. D. Collinson and T. Roper, Particle Mechanics, Butterworth-Heinemann, 1995
J. Berry and K. Houston, Mathematical Modelling, Butterworth-Heinemann, 1995
See the library reading list for this module (Canterbury)
The intended subject specific learning outcomes.
On successfully completing the module students will be able to:
1 demonstrate knowledge of the underlying concepts and principles associated with simple ODE-based mathematical models;
2 demonstrate the capability to make sound judgements in accordance with the basic theories and concepts in the following areas, whilst demonstrating a reasonable level
of skill in calculation and manipulation of the material: the modelling cycle, simple models of growth and decay processes, basic Newtonian mechanics, orbital motion;
3 apply the underlying concepts and principles associated with mathematical modelling in several well-defined contexts, showing an ability to evaluate the appropriateness
of different approaches to solving problems in this area;
4 make appropriate use of Maple.
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