Module Directory

MA105-4-AU-CO:Applied Mathematics

The details
2019/20
Mathematical Sciences
Colchester Campus
Autumn
ReassessmentOnly
Thursday 03 October 2019
Saturday 14 December 2019
15
16 July 2019

Requisites for this module
(none)
MA101
(none)
(none)

MA222, MA225

(none)

Module description

This course introduces Newtonian Dynamics and develops the application of simple mathematical ideas to study it. The course thereby serves to enhance the skills and knowledge of specialist mathematicians in the second year, in the context of fundamental physical ideas, which have been central both to the development of mathematics over the last three hundred years, to the analysis of aspects of modern technology, and to the understanding of the universe. It provides experience in the use of computer packages, in working together, and in report writing.

Syllabus
- Newton's Laws of Motion.
- Newton's Law of Gravitation. Hooke's law. Friction.
- Newton's Second Law as a differential equation.
- Constant acceleration problems in one, two and three dimensions. Projectiles.
- Simple harmonic motion. Damped simple harmonic motion.
- Definitions of work and energy and their relation to Newton's Laws of Motion.
- Conservative forces; potential energy.
- Conservation of Energy.
- Circular orbits for a single particle in a central field of force.
- Centrifugal force.

On completion of the course students should be able to:
- use vector notation to describe positions in space and their various rates of change;
- state Newton's Laws of Motion;
- state Newton's Law of Gravitation;
- state Hooke's Law of force for a spring;
- apply Newton's Laws and Hooke's Law to the motion of a particle in one dimension;
- recognise the equation of simple harmonic motion and write down its solution;
- analyse the motion of a simple pendulum for small and large displacements;
- be familiar with the concept of friction for bodies at rest and for bodies in motion;
- be able to state and derive the principle of conservation of energy;
- be familiar with the concept of Work;
- analyse the motion of a particle in a constant gravitational field in two dimensions;

An important part of the course is for students to learn how to use Matlab to assist their investigations, to develop skills in writing laboratory reports and in working with a partner.”

This module requires students to have an A level in Mathematics (or equivalent). If you are unsure whether you meet this criteria please contact mathsug@essex.ac.uk before attempting to enrol.

Module aims

No information available.

Module learning outcomes

No information available.

Module information

Available to Socrates /IP students spending all relevant terms at Essex.

Learning and teaching methods

This course has a two-hour lecture each week (weeks 2-11), a one-hour class in weeks 3, 6, 7, 10 and 11 and a two-hour lab in weeks 2, 4, 5, 8, 9 throughout the Autumn Term. One revision lecture and one revision class are given in the Summer Term. The course has a significant practical component.

Bibliography

This module does not appear to have any essential texts. To see non-essential items, please refer to the module's reading list.

Coursework Exam
20% 80%

Reassessment

Coursework Exam
0% 100%
Module supervisor and teaching staff
Dr David Penman; email dbpenman@essex.ac.uk; Mr David Bowers, email dbowers@essex.ac.uk
Miss Claire Watts, Department Manager, email cmwatts@essex.ac.uk

Availability
Yes
Yes
No

External examiner

No external examiner information available for this module.
Resources
Available via Moodle
Of 40 hours, 38 (95%) hours available to students:
2 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).

Further information
Mathematical Sciences

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