Undergraduate Course: Discrete Mathematics (Year 2) (MATH08010)
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 | Optional second year course for Honours Degrees in Mathematics and/or Statistics.
Syllabus summary: Graphs (bipartite, Euler, Hamiltonian, Planar), Euler's V-E+F=2 Theorem, subdivisions, Kuratowski's Theorem, matching, Hall's Marriage Theorem, assignment problems, counting sets, subsets, multisets,
inclusion/exclusion, applications, Stirling numbers of second kind, Bell numbers, designs, Fisher's inequality, Steiner triple systems, error-correcting codes, minimum distance, binary linear codes, Hamming codes, sphere-packing and sphere-covering bound. |
Information for Visiting Students
Pre-requisites | None |
Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
Not being delivered |
Summary of Intended Learning Outcomes
1. Ability to solve "counting" problems
2. Understanding of elements of Graph Theory
3. Ability to apply counting techniques and Graph Theory to problems in Engineering and Informatics
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Assessment Information
Coursework: 15%; Degree Examination: 85%. |
Special Arrangements
None |
Additional Information
Academic description |
Not entered |
Syllabus |
Not entered |
Transferable skills |
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Reading list |
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Study Abroad |
Not entered |
Study Pattern |
Not entered |
Keywords | DiM2 |
Contacts
Course organiser | Dr Chris Smyth
Tel: (0131 6)50 5054
Email: C.Smyth@ed.ac.uk |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk |
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