Advanced Dynamics

Module Identifier
MA25710
Module Title
Advanced Dynamics
Academic Year
2026/2027
Semester
Semester 2
Co-ordinator
Dr Adil Mughal
Reading List
View on Aspire
Pre-Requisite
MP11010 or MT11010
Other Staff
Dr Adil Mughal

Assessment

Assessment Type

Assessment details

Proportion
Semester Exam Exam: 2 Hours 100%
Supplementary Exam Exam: 2 Hours 100%

Learning Outcomes

On successful completion of this module students should be able to:

  1. Use dimensional analysis to simplify problems in Applied Mathematics.
  2. Predict the motion of particles in non-inertial frames of reference.
  3. Model mechanical systems using Lagrange'r equations.
  4. Apply the Euler-Lagrange equations to solve optimization problems.

Brief description

This module introduces Lagrangian mechanics and examines a variety of dynamical situations using this approach.

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.

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
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 5