Module Information

Module Identifier
Module Title
Advanced Dynamics
Academic Year
Semester 2
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   Semester exam  80%
Semester Assessment 5 problem sheets  20%
Supplementary Exam 2 Hours   Supplementary 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. Scaling laws and dimensional analysis.
2. The Euler Lagrange equation.
3. Optimisation with and without constraint.
4. Lagrangian Mechanics.
5. Applications to orbits.

Module Skills

Skills Type Skills details
Application of Number Necessary throughout.
Communication Written answers to exercises must be clear and well-structured. Good listening skills are essential to progress in this course.
Improving own Learning and Performance Students will be expected to develop their own approach to time-management in their attitude to the completion of work on time, and in doing the necessary preparation between lectures.
Information Technology Work will be set which requires the use of library facilities.
Personal Development and Career planning Completion of tasks (exercise sheets) to set deadlines will aid personal development.
Problem solving An exercise sheet will be set for each of the exercise classes and selected exercises marked.
Research skills Students will be expected to use the written resources to find supplementary material.
Subject Specific Skills Broadens student knowledge of topics in applied mathematics.
Team work Students will be encouraged to work together on questions during the exercise classes.


This module is at CQFW Level 5