Last modified: 25 Sep 2019 09:58
Combinatorics is the branch of mathematics concerned with counting. This includes counting structures of a given kind (enumerative combinatorics), deciding when certain criteria can be met, finding "largest", "smallest", or "optimal" objects (external combinatorics and combinatorial optimization), and applying algebraic techniques to combinatorial problems (algebraic combinatorics). The course is recommended to students of mathematics and computing science.
| Study Type | Undergraduate | Level | 1 |
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| Term | Second Term | Credit Points | 15 credits (7.5 ECTS credits) |
| Campus | Aberdeen | Sustained Study | No |
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* Induction * Growth rates * Subsets and binomial coefficients (subsets of fixed size, properties of binomial coefficients, the binomial therem) * Partitions and Bell numbers * Counting with symmetry * Recurrences * Generating functions * Derangements * Principle of inclusion-exclusion * Extermal problems * The Pigeonhole Principle * Ramsey theory * Graph theory
Syllabus
Information on contact teaching time is available from the course guide.
| Assessment Type | Summative | Weighting | 80 | |
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| Assessment Type | Summative | Weighting | 10 | |
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| Assessment Type | Summative | Weighting | 10 | |
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There are no assessments for this course.
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