Module Information

Module Identifier
Module Title
Advanced Dynamics
Academic Year
Semester 2
MA11010 or MT11010
External Examiners
  • Dr Theodore Kypraios (Associate Professor - University of Nottingham)
Other Staff

Course Delivery

Delivery Type Delivery length / details
Lecture 22 x 1 Hour Lectures


Assessment Type Assessment length / details Proportion
Semester Exam 2 Hours   Written exam  80%
Semester Assessment Written solutions x 5  20%
Supplementary Exam 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.


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.


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.


This module is at CQFW Level 5