Undergraduate Course: Linear Algebra (MATH08007)
Course Outline
School |
School of Mathematics |
College |
College of Science and Engineering |
Course type |
Standard |
Availability |
Available to all students |
Credit level (Normal year taken) |
SCQF Level 08 (Year 2 Undergraduate) |
Credits |
10 |
Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Year 2) |
Course website |
http://student.maths.ed.ac.uk |
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Course description |
Core second year course for Honours Degrees in Mathematics and/or Statistics.
Syllabus summary: Definition of vector spaces over R and C. Examples. Spans, subspaces, linear independence and bases. Sums and the dimension theorem for subspaces. Change of basis. Linear mappings, the rank theorem, matrices and change of basis, diagonalisation. Inner product spaces. Orthogonality, orthogonal bases, projections. Self-adjointness and diagonalisation of symmetric matrices. |
Course Delivery Information
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Delivery period: 2010/11 Semester 2, Available to all students (SV1)
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WebCT enabled: Yes |
Quota: None |
Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
King's Buildings | Lecture | | 1-11 | 12:10 - 13:00 | | | | | King's Buildings | Lecture | | 1-11 | | | 12:10 - 13:00 | | |
First Class |
Week 1, Monday, 12:10 - 13:00, Zone: King's Buildings. Ashworth Building, Lecture Theatre 1 |
Additional information |
Tutorials: Th at 1110 and 1210. |
Summary of Intended Learning Outcomes
1. Understanding of the basic concepts of linear algebra.
2. Computational facility with vectors and matrices: calculation of bases of subspaces, coordinates relative to a basis, matrix of a linear mapping with respect to given bases, etc.
3. Understanding of the notion of an inner product space and the basic concepts therein.
4. Understanding of the adjoint of a linear mapping on an inner product space and of the finite-dimensional spectral theorem.
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Assessment Information
Coursework (which may include a Project): 15%; Degree Examination: 85%.
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Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
Not entered |
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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copyright 2010 The University of Edinburgh -
1 September 2010 6:17 am
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