Mathematical Skills

The details

Requisites for this module

BSC G100 Mathematics,

BSC G102 Mathematics (Including Year Abroad),

BSC G103 Mathematics (Including Placement Year),

BSC G104 Mathematics (Including Foundation Year)

BSC G102 Mathematics (Including Year Abroad),

BSC G103 Mathematics (Including Placement Year),

BSC G104 Mathematics (Including Foundation Year)

For students outside of the Department, an appropriate A level in Mathematics (or equivalent) is required for this module. If you are unsure if you meet this criteria please contact mathsug@essex.ac.uk before attempting to enrol. This is a problem based module that will reinforce and introduce the techniques involved in a variety of problem-solving situations across mathematics, including calculus, algebra, combinatorics, geometry and mechanics. Each week students will bring to bear their mathematical skills and develop them further in order to solve a number of problems that are varied in nature and difficulty. Moreover students will learn to write mathematical arguments that explain why their calculations allow the question to be fully answered. Some historical background to the mathematics will feature in discussion of the problems and their solutions.

Syllabus:
Topics that will be featured in the problem sets include:
Differentiation and Integrations methods
Solutions of equations (including use of complex numbers)
Familiarity and exploitation of the properties of trigonometric and other transcendental functions
Kinematics and problems involving vector quanitites
Euclidean geometry
Elementary number theory
Discrete counting and probablity problems
Problems requiring a mixture of mathematical ideas.

On completion of the course, students will:
Be adept at solving general mathematical problems that arise in which the student does not know in advance what specific mathematical skills are needed;
Be able to justify through mathematical argument how a given mathematical calculation leads to solution of a problem;
Become sure-footed in the use of algebraic techniques that arise throughout mathematics.

'A' level Maths or equivalent is required.

Syllabus:

Topics that will be featured in the problem sets include:

Differentiation and Integrations methods

Solutions of equations (including use of complex numbers)

Familiarity and exploitation of the properties of trigonometric and other transcendental functions

Kinematics and problems involving vector quanitites

Euclidean geometry

Elementary number theory

Discrete counting and probablity problems

Problems requiring a mixture of mathematical ideas.

(c) On completion of the course, students will:

Be adept at solving general mathematical problems that arise in which the student does not know in advance what specific mathematical skills are needed;

Be able to justify through mathematical argument how a given mathematical calculation leads to solution of a problem;

Become sure-footed in the use of algebraic techniques that arise throughout mathematics.

Syllabus:

Topics that will be featured in the problem sets include:

Differentiation and Integrations methods

Solutions of equations (including use of complex numbers)

Familiarity and exploitation of the properties of trigonometric and other transcendental functions

Kinematics and problems involving vector quanitites

Euclidean geometry

Elementary number theory

Discrete counting and probablity problems

Problems requiring a mixture of mathematical ideas.

(c) On completion of the course, students will:

Be adept at solving general mathematical problems that arise in which the student does not know in advance what specific mathematical skills are needed;

Be able to justify through mathematical argument how a given mathematical calculation leads to solution of a problem;

Become sure-footed in the use of algebraic techniques that arise throughout mathematics.

This course consists of 25 contact hours consisting of 10 two-hour lectures together with 5 classes, one every two weeks. There will be 3 revision lectures in the summer term.
The emphasis throughout will be on the student tackling a large number of varied problems.

This module does not appear to have a published bibliography for this year.

Coursework / exam | Description | Deadline | Weighting |
---|---|---|---|

Coursework | Homework 1 | 20% | |

Coursework | Homework 2 | 20% | |

Coursework | Homework 3 | 20% | |

Coursework | Homework 4 | 20% | |

Coursework | Homework 5 | 20% | |

Exam | 90 minutes during Summer (Main Period) (Main) |

Coursework | Exam |
---|---|

50% | 50% |

Coursework | Exam |
---|---|

0% | 100% |

Module supervisor and teaching staff

Availability

No external examiner information available for this module.

Resources

Further information

*** Please note:** due to differing publication schedules, items marked with an asterisk (*) base their information upon the previous academic year.

**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.