2008/09 Undergraduate Module Catalogue
MATH1410 Modelling Force and Motion
10 creditsClass Size: 250
Module manager: Professor A.P. Fordy
Email: allan@maths.leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2008/09
Pre-requisites
| MATH1400 | Modelling with Differential Equations |
This module is mutually exclusive with
| MATH1382 | Fundamentals of Particle Dynamics |
| MATH1610 | Discrete Systems |
This module is approved as an Elective
Module summary
The study of what causes objects to move, and how they move (or stand still !) is the subject of this module. The natural language to describe such motions in three dimensions is that of vectors, and the module starts with a discussion of the algebra of vector quantities. The laws describing the motion of objects are developed: the same laws apply whether the motion is that of a motor car, a parachute jumper, or a spacecraft. Mathematical models for each of these examples are considered, together with several others, use being made of the differential equations studied in module MATH 1400.Objectives
To introduce the basic concepts of single particle mechanics and to develop the relevant vector algebra. On completion of this module, students should be able to: (a) carry out basic manipulations involving vector addition and multiplication; (b) formulate the equations of motion for particles in one and two dimensions; (c) solve these equations of motion in simple cases; (d) obtain the energy equation for one and two dimensional particle motion under the action of a conservative force.Syllabus
1. Vector algebra: parallelogram law, components, unit vectors and direction cosines, scalar and vector products, triple products. 2. Introduction to mechanics: Newton's laws, forces, gravitation and weight. 3. One dimensional motion: including constant gravity, air resistance etc. Oscillation of a spring/mass system: SHM, damped and forced oscillations, beats and resonance. 4. Two dimensional motion: including projectile and resisted projectile, circular motion. Energy methods: KE and work done, conservative forces and PE.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lecture | 22 | 1.00 | 22.00 |
| Tutorial | 11 | 1.00 | 11.00 |
| Private study hours | 67.00 | ||
| Total Contact hours | 33.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | . | 15.00 |
| Total percentage (Assessment Coursework) | 15.00 | |
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 | 85.00 |
| Total percentage (Assessment Exams) | 85.00 | |
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: 08/07/2008
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