This module is not currently running in the selected year. The information shown below is for the academic year that the module was last running in, prior to the year selected.
2010/11 Undergraduate Module Catalogue
MATH1382 Fundamentals of Particle Dynamics
10 creditsClass Size: 160
Module manager: Dr T. Wagenknecht
Email: t.wagenknecht@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2010/11
Pre-requisite qualifications
A good A-level Mathematics grade or equivalent.This module is mutually exclusive with
| MATH1410 | Modelling Force and Motion |
This module is approved as an Elective
Module summary
A basic module in Newtonian Mechanics. Newton's laws, together with the law of gravitation, describe the motion of bodies which can be modelled as particles. Ideas of symmetry and conservation laws are essential to describe three-dimensional motion. Ideas of work and energy are introduced and to show conservation of energy provides an alternative approach to that of forces.Objectives
To introduce and apply the fundamental principles of Newtonian mechanics.On completion of this module, students should be able to:
(a) model mechanical problems in both Cartesian and polar coordinate systems
(b) formulate and solve both static and dynamic problems of particle mechanics
(c) solve problems based on Newton's Laws via principles of Work, Energy and Momentum.
Syllabus
- Units and dimensions
- Dimensional analysis
- Newton's laws of Motion and initial value problems
- Examples of forces: gravitational force
- Galilean transformations
- Symmetries and conservation laws in Newtonian mechanics
- Work and energy
- Conservative forces and potential energy
- One dimensional motion in a gravitational field, escape velocity
- Elastic collisions in one dimension
- Oscillatory motion in one dimension
- Hooke's law
- Simple harmonic motion (SHM), damping, forced oscillation and resonance
- Circular motion: polar coordinates
- Gravitational field and orbits: Kepler's laws.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lecture | 22 | 1.00 | 22.00 |
| Tutorial | 5 | 1.00 | 5.00 |
| Private study hours | 73.00 | ||
| Total Contact hours | 27.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | Quizzes | 10.00 |
| Problem Sheet | Homework | 10.00 |
| Total percentage (Assessment Coursework) | 20.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Exams
| Exam type | Exam duration | % of formal assessment |
| Standard exam (closed essays, MCQs etc) | 2 hr 00 mins | 80.00 |
| Total percentage (Assessment Exams) | 80.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading list
The reading list is available from the Library websiteLast updated: 01/04/2011
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
Errors, omissions, failed links etc should be notified to the Catalogue Team.PROD