- Dr Andrew Hazel (Reader - University of Manchester)
|Delivery Type||Delivery length / details|
|Lecture||22 x 1 Hour Lectures|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||2 Hours (Written Examination)||80%|
|Semester Assessment||Written solutions x 5||20%|
|Supplementary Exam||2 Hours (Written Examination)||100%|
On successful completion of this module students should be able to:
Use dimensional analysis to simplify problems in Applied Mathematics.
Predict the motion of particles in non-inertial frames of reference.
Model mechanical systems using Lagrange'r equations.
Apply the Euler-Lagrange equations to solve optimization problems.
The module has two aims: to introduce advanced topics in mechanics, based on the classical work of Newton, Euler, and Lagrange, that will allow students to predict the dynamics of physically important systems; and to improve students skills in Applied Mathematics, by deepening their understanding of the mathematical modelling process.
2. The Euler-Lagrange equation
3. Optimisation problems in mathematics
4. Classical mechanics using the Euler-Lagrange equation
5. Motion in a central force & Kepler’s equations
6. Mechanics in a rotating frame & the Coriolis force.
|Skills Type||Skills details|
|Application of Number||Throughout|
|Communication||Written answers to questions must be clear and well structured and should communicate student’s understanding|
|Improving own Learning and Performance||Students are expected to develop their own approach to time management regarding the completion of Example sheets on time, assimilation of feedback, and preparation between lectures.|
|Information Technology||Use of Blackboard|
|Research skills||Students will be encouraged to independently find and assimilate useful resources.|
|Subject Specific Skills||Students will become accomplished at solving problems in a major area of applied mathematics.|
|Team work||Students will be encouraged to work together on questions in workshops and on Example sheets.|
This module is at CQFW Level 5