BSc Computer Science and Mathematics
Year of entry: 2021
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Course unit details:
Fundamentals of Computation
|Unit level||Level 1|
|Teaching period(s)||Semester 2|
|Offered by||Department of Computer Science|
|Available as a free choice unit?||No|
Student comments: 'The material was very interesting and I could definitely see it being useful on the near future. Overall, I enjoyed this course unit, because I felt that it extended to other course units.' - 'Through the material covered you understand better how the computer interpretes data (and generally works), and learn more about programming languages and algorithms.' - 'The course content was extremely interesting, and the PhD demonstrators were helpful and approachable. I am glad I took this module.'
|Unit title||Unit code||Requirement type||Description|
|Mathematical Techniques for Computer Science||COMP11120||Co-Requisite||Compulsory|
This course unit provides a first approach to answering the following questions. What methods are there that can help understanding complicated systems or programs? How can we make sure that a program does what we intend it to do? How do computers go about recognizing pieces of text? If there are two ways of solving the same problem, how can we compare them? How do we measure that one of them gives the solution faster? How can we understand what computers can do in principle, and are there problems that are not solvable by a computer?
- Describe formal languages using a variety of mechanisms.
- Define classes of languages and demonstrate translations between those classes.
- State key properties of classes of languages and determine when those properties hold.
- Define models of computation and use those models to demonstrate what can and cannot be computed.
There are two groups of topics covered. One of the lectures will be an introduction to the course unit, and one is reserved for revision. That leaves 10 lectures for each part.
The first part (10 lectures) is concerned with expressing particular strings, and collections of strings, and here we will introduce the methods by which a computer goes about it. The ability to recognize key strings (such as programming constructs or variable names) are, for example, required in every compiler, but they are also used by search engines such as Google.The formalisms introduced include finite state automata, regular expressions (most often used in pattern matching), (regular) grammars. The emphasis is on students being able to use these formalisms to solve problems.
The second half of the course (10 lectures) provides an introduction to the topics of complexity, correctness and computability. There are four big topics:
• the WHILE programming language
• asymptotic complexity
• partial and full program correctness
Teaching and learning methods
22 in total, 2 per week
1 per week (starting in week 2)
- Analytical skills
- Oral communication
- Problem solving
|Written assignment (inc essay)||20%|
Students present their solutions to set exercises once a week in examples classes. They receive oral feedback to their solutions, and have the opportunity to improve some of their original answers for further feedback.
COMP11212 reading list can be found on the Department of Computer Science website for current students.
|Scheduled activity hours|
|Assessment written exam||2|
|Practical classes & workshops||11|
|Independent study hours|
|Sean Bechhofer||Unit coordinator|
Course unit materials
Links to course unit teaching materials can be found on the School of Computer Science website for current students.