Undergraduate Course: Accelerated Algebra and Calculus for Direct Entry (MATH08062)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 8 (Year 2 Undergraduate) |
Availability | Not available to visiting students |
| SCQF Credits | 20 |
ECTS Credits | 10 |
| Summary | 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 students for whom it is part of their prescribed programme eg. Direct Entry School of Mathematics students. |
| Course description |
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.
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Course Delivery Information
| Not being delivered |
Learning Outcomes
On completion of this course, the student will be able to:
- Understand the ideas of limit, continuity, differentiation, integration, Taylor and related series.
- Apply the techniques of Calculus to problems in Physics and other Sciences.
- Understand Matrices and Gaussian elimination and be able to solve Linear Systems.
- Understand the notions of Linear dependence and independence, dimension and bases.
- Understand the dot product and orthogonality.
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Additional Information
| Graduate Attributes and Skills |
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 |
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