THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2011/2012
- ARCHIVE as at 1 September 2011 for reference only
THIS PAGE IS OUT OF DATE

University Homepage
DRPS Homepage
DRPS Search
DRPS Contact
DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Accelerated Algebra and Calculus for Direct Entry (MATH08062)

Course Outline
School School of Mathematics College College of Science and Engineering
Course type Standard Availability Not available to visiting students
Credit level (Normal year taken) SCQF Level 8 (Year 2 Undergraduate) Credits 20
Home subject area Mathematics Other subject area None
Course website None Taught in Gaelic? No
Course description This course covers material from the first year specialist Maths programme that is not normally covered in Advanced Higher or A-level. It is available only to direct entry students.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Co-requisites Students MUST also take: ( Foundations of Calculus (MATH08005) AND Several Variable Calculus (MATH08006))
Prohibited Combinations Other requirements Advanced Higher Maths or A-level Maths and Further Maths, all at Grade A
Additional Costs None
Course Delivery Information
Delivery period: 2011/12 Semester 1, Not available to visiting students (SS1) WebCT enabled:  Yes Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLecture1-11 14:00 - 15:50
King's BuildingsLecture1-11 14:00 - 15:50
First Class Week 1, Monday, 14:00 - 14:50, Zone: King's Buildings. Th C, JCMB
No Exam Information
Summary of Intended Learning Outcomes
Familiarity and calculational fluency with the following concepts :

- Ideas of 'limit' and continuity;
- Techniques of differentiation and integration;
- Applications of integration;
- Taylor and related series;
- Matrices;
- Gaussian elimination;
- Polar forms of complex numbers;
- Hyperbolic functions
- Vector geometry;
- Ideas of set theory and functions;
- Permutations;
- Basic properties of integers.
Assessment Information
No more than 15% coursework; remainder examination.
Special Arrangements
Advanced Higher Maths or A-level maths and Further Maths, all at Grade A.
Additional Information
Academic description Not entered
Syllabus This syllabus is for guidance purposes only :

Calculus
- Functions, Ideas of limit and continuity.
- Implicit and logarithmic differentiation.
- Methods of integration: By parts, reduction formulae.
- Applications of integration (surfaces and solids of revolution.
- Taylor and related series.

Vectors and Matrices
- Revision of vectors, cross products and geometric applications.
- Matrices and determinants: systematic Gaussian elimination.
- Eigenvalues and eigenvectors.
- Diagonalisation of 2x2 matrices, including orthogonal diagonalisation of symmetric matrices

Other topics
- Ideas of set theory and functions. countable and uncountable sets.
- Polar form of complex numbers, complex exponentials and trig functions.
- Hyperbolic functions.
- Basic properties of integers, factorisation, gcd, Euclidean algorithm.
- Permutations and Combinations.
Transferable skills Not entered
Reading list Not entered
Study Abroad Not entered
Study Pattern Not entered
Keywords AAC
Contacts
Course organiser Dr Nikolaos Bournaveas
Tel: (0131 6)50 5063
Email: N.Bournaveas@ed.ac.uk
Course secretary Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk
Navigation
Help & Information
Home
Introduction
Glossary
Search DPTs and Courses
Regulations
Regulations
Degree Programmes
Introduction
Browse DPTs
Courses
Introduction
Humanities and Social Science
Science and Engineering
Medicine and Veterinary Medicine
Other Information
Timetab
Prospectuses
Important Information
 
copyright 2011 The University of Edinburgh - 1 September 2011 6:25 am