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 8 (Year 2 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | Specialist Mathematics & Statistics (Year 2) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
| Course description | THIS COURSE IS FOR RETAKING STUDENTS ONLY
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. |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | No |
Course Delivery Information
| Not being delivered |
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
| Examination 100% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | LiA |
Contacts
| Course organiser | Prof Alastair Gillespie
Tel: (0131 6)50 5081
Email: |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: |
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