MAT-20005 - Dynamics
Coordinator: Yibin Fu Room: MAC2.33 Tel: +44 1782 7 33650
Lecture Time: See Timetable...
Level: Level 5
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2019/20


Available as a Free Standing Elective






Barred Combinations


Description for 2019/20

The module is an introduction to dynamics with applications mainly to systems which can be modelled by particle dynamics. The topics investigated include: Newton's laws, momentum, kinetic and potential energy, projectiles, simple harmonic motion, springs, the pendulum, rocket motion, planetary and satellite orbits, linear theory of oscillations, and normal modes.
The module develops the following Keele Graduate Attributes:
1. an open and questioning approach to ideas, demonstrating curiosity and independence of thought;
2. an appreciation of the development and value of Mathematics, and the links between different areas of the subject;
4. the ability creatively to solve problems using a range of different approaches and techniques, and to determine which techniques are appropriate for the problem at hand;
6. the ability to communicate clearly and effectively in written form.

The aim of this module is to demonstrate the successful application of mathematics in the modelling of physical systems, within the context of Newtonian dynamics.

Intended Learning Outcomes

solve problems in kinematics by calculating velocity and acceleration;: solve problems involving central forces and model planetary motion, the motion of satellites and orbital transfer: 1,2,3
apply Newton's Laws of Motion in a number of different contexts;: interpret a system's dynamics from the energy equation: 1,3
model and solve problems involving vertical motion under gravity and projectiles, with or without air resistance;: consider the effect of variable mass via the "rocket equation: 1,2,3
solve problems involving oscillations of springs with or without frictional damping and/or forcing, and be able to recognise the phenomenon of resonance:

Study hours

Lectures: 35 hours
Formative Class Test: 1 hour
Examples Classes: 12 hours
Independent study: 100 hours
Unseen examination: 2 hours

School Rules


Description of Module Assessment

1: Exercise weighted 15%
Approximately 3 assignments set at regular intervals
Continuous assessment consists of approximately three written problem sheets. The solutions to each problem sheet should consist of approximately four to six handwritten pages.

2: Class Test weighted 15%
Mid-semester class test
A class test lasting approximately 40 mins and covering material from approximately the first half of the module.

3: Unseen Exam weighted 70%
2-hour end of semester examination
The examination paper will consist of no less than five and not more than eight questions, all of which are compulsory.