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. |
Course Delivery Information
| Not being delivered |
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 |
David Poole, Linear Algebra; A modern introduction, International Edition, 3rd edition
James Stewart, Calculus, Metric International Version, 6th edition |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | AAC |
Contacts
| Course organiser | Dr Nikolaos Bournaveas
Tel: (0131 6)50 5063
Email: |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: |
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