Discrete Mathematics and Mathematical Reasoning

This module runs in the first semester. Lecture hours are: For Tutorial Groups see Groups on the course Learn page

Summary of intended learning outcomes

- Reason mathematically about basic (discrete) structures (such as numbers, sets, graphs, and trees)used in computer science.
- Use of mathematical and logical notation to define and formally reason about mathematical concepts such as sets, relations, functions, and integers, and discrete structures like trees, graphs, and partial orders;
- Evaluate elementary mathematical arguments and identify fallacious reasoning
- Construct inductive hypothesis and carry out simple induction proofs;
- Use graph theoretic models and data structures to model and solve some basic problems in Informatics (e.g., network connectivity, etc.)
- Prove elementary arithmetic and algebraic properties of the integers, and modular arithmetic, explain some of their basic applications in Informatics, e.g., to cryptography.
- Calculate the number of possible outcomes of elementary combinatorial processes such as permutations and combinations.
- Be able to construct discrete probability distributions based on simple combinatorial processes, and to calculate the probabilities and expectations of simple events under such discrete distributions.

Tutorial Sheets

Weekly tutorial sheet exercises. Discussed in weekly tutorial groups.

Assessed Coursework

There are two handin courseworks.


The final exam counts for 85%, and the assessed coursework counts for 15%.
This page is maintained by the course lecturers Kousha Etessami and Colin Stirling.

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