MA105-4-AU-CO:
Applied Mathematics
2015/16
Mathematics, Statistics and Actuarial Science (School of)
Colchester Campus
Autumn
Undergraduate: Level 4
Current
15
18 May 2012
Requisites for this module
(none)
MA101
(none)
(none)
MA225
BSC G100 Mathematics,
BSC G102 Mathematics (Including Year Abroad),
BSC G103 Mathematics (Including Placement Year),
BSC G1F3 Mathematics with Physics,
BSC GCF3 Mathematics with Physics (Including Year Abroad)
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 Law 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.
Laboratory Programme
1. Projectiles (week 4)
2. Simple Harmonic Motion (week 6)
3. Simple Pendulum (week 7)
4. Ellipses (week 9)
5. Energy (week 11)
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 a computer package to assist their investigations, and to develop skills in writing laboratory reports, working with a partner.
No information available.
No information available.
Available to Socrates /IP students spending all relevant terms at Essex.
This course has 2 lectures per week, a one-hour class in weeks 2, 3, 5, 8 and 10 and a two-hour lab in weeks 4,6,7,9,11 throughout the Autumn Term. Three revision lectures are given in the Summer Term. The course has a significant practical component.
Assessment items, weightings and deadlines
| Coursework / exam |
Description |
Deadline |
Coursework weighting |
| Coursework |
Lab Report 1 |
|
20% |
| Coursework |
Lab Report 2 |
|
20% |
| Coursework |
Lab Report 3 |
|
20% |
| Coursework |
Lab Report 4 |
|
20% |
| Coursework |
Lab Report 5 |
|
20% |
| Exam |
Main exam: 90 minutes during Summer (Main Period)
|
Additional coursework information
Information about coursework deadlines can be found in the "Coursework Information" section of the Current Students, Useful Information Maths web pages: Coursework and Test Information
Exam format definitions
- Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
- In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
- In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
- In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary,
for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.
Your department will provide further guidance before your exams.
Overall assessment
Reassessment
Module supervisor and teaching staff
Dr Andrew Harrison, email harry@essex.ac.uk
Miss Claire Watts, Departmental Administrator, Tel. 01206 873040, email cmwatts@essex.ac.uk
Yes
Yes
No
No external examiner information available for this module.
Available via Moodle
No lecture recording information available for this module.
Disclaimer: The University makes every effort to ensure that this information on its Module Directory is accurate and up-to-date. Exceptionally it can
be necessary to make changes, for example to programmes, modules, facilities or fees. Examples of such reasons might include a change of law or regulatory requirements,
industrial action, lack of demand, departure of key personnel, change in government policy, or withdrawal/reduction of funding. Changes to modules may for example consist
of variations to the content and method of delivery or assessment of modules and other services, to discontinue modules and other services and to merge or combine modules.
The University will endeavour to keep such changes to a minimum, and will also keep students informed appropriately by updating our programme specifications and module directory.
The full Procedures, Rules and Regulations of the University governing how it operates are set out in the Charter, Statutes and Ordinances and in the University Regulations, Policy and Procedures.