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Elective Course: Theoretical Computer Science

Title
Elective Course: Theoretical Computer Science
Semester
E2022
Master programme in
Computer Science * / Informatics * / Mathematical Computer Modelling * / Computer Science / Digital Transformation
Type of activity

Course

Teaching language
English
Study regulation

Read about the Master Programme and find the Study Regulations at ruc.dk

REGISTRATION AND STUDY ADMINISTRATIVE
Registration

Sign up for study activities at STADS Online Student Service within the announced registration period, as you can see on the Study administration homepage. When signing up for study activities, please be aware of potential conflicts between study activities or exam dates. The planning of activities at Roskilde University is based on the recommended study programs which do not overlap. However, if you choose optional courses and/or study plans that goes beyond the recommended study programs, an overlap of lectures or exam dates may occur depending on which courses you choose.

Number of participants
ECTS
5
Responsible for the activity
Mads Rosendahl (madsr@ruc.dk)
Head of study
Henrik Bulskov (bulskov@ruc.dk)
Teachers
Study administration
IMT Studyadministration (imt-studyadministration@ruc.dk)
Exam code(s)
U60464
ACADEMIC CONTENT
Overall objective

With an elective course, the student has the opportunity to specialize in a specific subject area where the student acquires knowledge, skills and competences in order to translate theories, methods and solutions ideas into their own practice in relation to software development. Examples of elective courses: Robotics, AI, internet technologies, programming language, parallel calculation, mobile computers, etc.

Detailed description of content

The aim of the course is cover central concepts in the foundation of computer science. These are topics which computer scientists are traditionally expected to be familiar with.

• Hierarchy of languages: Different language classes and their relation to computational models. Formal languages, regular expressions, context-free grammars, the Chomsky hierarchy of languages. Parsing of formal lanuages and programming languages.

• Computation: Finite state machines, pushdown automata, Turing machines, lambda calculus, universality of Turing machines. The Church-Turing thesis

• Computability: What can and cannot be computed? The halting problem, complexity of algorithms, P≠NP conjecture. NP complete problems. Uncountable and recursively enumerable sets.

The course assumes programming skills corresponding to a bachelor degree in computer science.

Course material and Reading list

Recommended course textbook: Elements of the Theory of Computation, 2/E, Lewis & Papadimitriou, ISBN-10: 0132624788 | ISBN-13: 9780132624787. Slides and handouts.

Overall plan and expected work effort

The course will have a total workload of 135 hours with 40 hours of lectures and exercises, 70 hours of preparation over an 11 week course period and 25 hours for the exam and preparation before the course.

Format
Evaluation and feedback

Written course evaluation form and verbal feedback during final course lecture. Open forum on course website.

Programme

Computer Science

ASSESSMENT
Overall learning outcomes

After completing this course, students will be able to:

  • know and understand a specific subject area in computer science.

  • demonstrate knowledge and understanding of the area’s techniques for designing and constructing software systems that meet specific requirements.

  • show knowledge and understanding of the general principles behind the subject area’s theory, methods, and technological solutions.

  • work on computer science related issues, both independently and in teams, and proficient in new approaches to the subject area in a critical and systematic way and thereby independently take responsibility for one’s own professional development.

Form of examination
Individual oral exam based on a written product

The character limit of the written product is maximum 48,000 characters, including spaces.
The character limits include the cover, table of contents, bibliography, figures and other illustrations, but exclude any appendices.

Time allowed for exam including time used for assessment: 20 minutes.
The assessment is an overall assessment of the written product(s) and the subsequent oral examination.

Permitted support and preparation materials for the oral exam: All.

Assessment: 7-point grading scale.
Moderation: Internal co-assessor.
Form of Re-examination
Samme som ordinær eksamen / same form as ordinary exam
Type of examination in special cases
Examination and assessment criteria

The exam is based on an assignment consisting of a number of smaller exercises done during the coursse. At the exam we discuss some of the exercises and the assessment is based on the general understanding of the central concepts in the course as listed in the detailed description of the course.

Exam code(s)
Exam code(s) : U60464
Last changed 29/09/2022

lecture list:

Show lessons for Subclass: 1 Find calendar (1) PDF for print (1)

Friday 16-09-2022 12:15 - 16-09-2022 16:00 in week 37
Theoretical Computer Science (COMP)

Friday 23-09-2022 12:15 - 23-09-2022 16:00 in week 38
Theoretical Computer Science (COMP)

Friday 30-09-2022 12:15 - 30-09-2022 16:00 in week 39
Theoretical Computer Science (COMP)

Friday 07-10-2022 12:15 - 07-10-2022 16:00 in week 40
Theoretical Computer Science (COMP)

Friday 14-10-2022 12:15 - 14-10-2022 16:00 in week 41
Theoretical Computer Science (COMP)

Friday 21-10-2022 12:15 - 21-10-2022 16:00 in week 42
Theoretical Computer Science (COMP)

Friday 28-10-2022 12:15 - 28-10-2022 16:00 in week 43
Theoretical Computer Science (COMP)

Friday 04-11-2022 12:15 - 04-11-2022 16:00 in week 44
Theoretical Computer Science (COMP)

Friday 11-11-2022 12:15 - 11-11-2022 16:00 in week 45
Theoretical Computer Science (COMP)

Friday 18-11-2022 12:15 - 18-11-2022 16:00 in week 46
Theoretical Computer Science (COMP)

Friday 25-11-2022 10:00 - 25-11-2022 10:00 in week 47
Theoretical Computer Science - Hand-in written assignment (COMP)

Monday 09-01-2023 08:15 - 09-01-2023 18:00 in week 02
Theoretical Computer Science - Oral examination (COMP)

Friday 17-02-2023 10:00 - 17-02-2023 10:00 in week 07
Theoretical Computer Science - Reexam - Hand-in written assignment (COMP)

Friday 24-02-2023 08:15 - 24-02-2023 18:00 in week 08
Theoretical Computer Science - Oral reexamination (COMP)