Module Information

Module Identifier
MX35710
Module Title
Advanced Dynamics
Academic Year
2018/2019
Co-ordinator
Semester
Semester 2
Mutually Exclusive
Pre-Requisite

Course Delivery

 

Assessment

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%

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

1. Dimensional analysis
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