|Semester 1 Credit Value:||10|
To lay the foundations for more advanced mathematical study. Students will be able to manipulate complex numbers and find roots, and use matrix methods to solve equations.
Virtually every branch of mathematics and statistics can be developed only from a firm foundation. A clear understanding and appreciation of many fundamental topics is required, primarily, those of algebra and calculus. Of course, understanding alone is not sufficient: considerable manipulative skill (covering all the topics above) is an essential ingredient if progress is to be made. These skills form the toolkit which is required for further study. This module provides the algebraic basis for all this, by building on the ideas explored in A-level (or equivalent) studies. Not only are the ideas rehearsed -often in a different, but more complete way – but work on more advanced topics in algebra, linear algebra and complex numbers is included.
Much of this material can be better understood via graphs, diagrams and sketches, or by reproducing routine (but tedious) algebra in an automatic fashion. To this end, the module illustrates some of the ideas using the computer algebra package Maple. A facility for Maple will be assumed in other modules and in later stages.
Complex numbers, Argand diagram, polar form, de Moivre's theorem, roots of unity. Linear algebra, row operations, solution of linear equations, matrix operations, determinants, eigenvectors.
|Scheduled Learning And Teaching Activities||Lecture||26||1:00||26:00||Formal lectures|
|Scheduled Learning And Teaching Activities||Lecture||2||1:00||2:00||Revision lectures|
|Scheduled Learning And Teaching Activities||Lecture||4||1:00||4:00||Problem classes|
|Guided Independent Study||Assessment preparation and completion||1||13:00||13:00||Revision for unseen Exam|
|Guided Independent Study||Assessment preparation and completion||1||1:30||1:30||Unseen exam|
|Scheduled Learning And Teaching Activities||Drop-in/surgery||24||0:00||0:00||Office Hours in a staff office|
|Scheduled Learning And Teaching Activities||Drop-in/surgery||4||1:00||4:00||Tutorials in the lecture room|
|Guided Independent Study||Independent study||4||2:00||8:00||CBAs|
|Guided Independent Study||Independent study||4||5:00||20:00||Written assignments|
|Guided Independent Study||Independent study||4||1:00||4:00||Assignment review|
|Guided Independent Study||Independent study||1||17:30||17:30||Studying, practising and gaining understanding of course material|
|MAS2042||Mathematical Methods B|
Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem Classes are used to help develop the students’ abilities at applying the theory to solving problems. Tutorials are used to identify and resolve specific queries raised by students and to allow students to receive individual feedback on marked work. Office hours provide an opportunity for more direct contact between individual students and the lecturer.
The format of resits will be determined by the Board of Examiners
|Module Code||Module Title||Semester||Comment|
|Prob solv exercises||1||M||10||N/A|
A substantial formal unseen examination is appropriate for the assessment of the material in this module. Approximately four written assignments of approximately equal weight (worth approximately 10% in total) and approximately four computer based assessments of approximately equal weight (worth approximately 10% in total) allow the students to develop their problem solving techniques, to practise the methods learnt in the module and to receive feedback; this is thus formative as well as summative assessment.
Disclaimer: The University will use all reasonable endeavours to deliver modules in accordance with the descriptions set out in this catalogue. Every effort has been made to ensure the accuracy of the information, however, the University reserves the right to introduce changes to the information given including the addition, withdrawal or restructuring of modules if it considers such action to be necessary.