Module Information
Course Delivery
| Delivery Type | Delivery length / details |
|---|---|
| Lecture | 22 x 1 Hour Lectures |
Assessment
| Assessment Type | Assessment length / details | Proportion |
|---|---|---|
| Semester Exam | 2 Hours 2 Hours Written exam | 80% |
| Semester Assessment | Written solutions x 5 | 20% |
| Supplementary Exam | 2 Hours 2 Hours Written Exam | 100% |
Learning Outcomes
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.
Aims
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.
Brief description
This module introduces Lagrangian mechanics and examines a variety of dynamical situations using this approach.
Content
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.
Module Skills
| 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 |
| Personal Development and Career planning | |
| Problem solving | Throughout |
| 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. |
Notes
This module is at CQFW Level 6