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  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. Selfadjointness and diagonalisation of symmetric matrices. 
Information for Visiting Students
Prerequisites  None 
Displayed in Visiting Students Prospectus?  Yes 
Course Delivery Information

Delivery period: 2011/12 Semester 2, Available to all students (SV1)

WebCT enabled: Yes 
Quota: None 
Location 
Activity 
Description 
Weeks 
Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
King's Buildings  Lecture  Ashworth Labs Th 1  111  12:10  13:00      King's Buildings  Lecture  Ashworth Labs Th 1  111    12:10  13:00   
First Class 
Week 1, Monday, 12:10  13:00, Zone: King's Buildings. Ashworth Labs, Theatre 1 
Additional information 
Tutorials: Th at 1110 and 1210 & 14:00 
Exam Information 
Exam Diet 
Paper Name 
Hours:Minutes 


Main Exam Diet S2 (April/May)   2:00    Resit Exam Diet (August)   2:00   
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 finitedimensional spectral theorem.

Assessment Information
Coursework (which may include a Project): 15%; Degree Examination: 85%.

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: t.a.gillespie@ed.ac.uk 
Course secretary  Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk 

