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CM20217: Foundations of computation 1

Follow this link for further information on academic years Academic Year: 2015/6
Further information on owning departmentsOwning Department/School: Department of Computer Science
Further information on credits Credits: 6
Further information on unit levels Level: Intermediate (FHEQ level 5)
Further information on teaching periods Period: Semester 1
Further information on unit assessment Assessment Summary: CW 25%, EX 75%
Further information on unit assessment Assessment Detail:
  • Coursework (CW 25%)
  • Exam (EX 75%)
Further information on supplementary assessment Supplementary Assessment: CM20217 Mandatory Extra Work (where allowed by programme regulations)
Further information on requisites Requisites: Before taking this module you must ( take CM10227 AND take CM10228 AND take CM10196 ) OR ( take MA10209 AND take XX10190 )
Further information on descriptions Description: Aims:
To introduce formal models of computation. To give students an appreciation of the complexity of different algorithms and problems and the limits of computation. To provide students with a basic understanding of formal computational models such as finite state automata and Turing machines.

Learning Outcomes:
On completion of this unit, students will be able to:
1. demonstrate an understanding of the fundamental models of computation.
2. explain the notion of complexity class, and establish what classes a range of well-known problems belong to.
3. demonstrate that some computational problems are undecidable.

Skills:
Use of IT (A), Application of Number (T/F, A), Problem Solving (T/F, A).

Content:

* Models of computation: for example, basic notions of finite state automata, Turing Machines, register machines.
* Decidability. The undecidability of the Halting Problem. Reduction of other problems to the halting problem.
* Complexity. Big-O notation and complexity of algorithms. The notion of complexity class as a measure of the difficulty of a problem. Reduction between problems. Hardness and completeness of a problem with respect to a complexity class. The hierarchy of complexity classes. The question of whether P=NP and its importance for computer science.
Further information on programme availabilityProgramme availability:

CM20217 is Compulsory on the following programmes:

Department of Computer Science
  • USCM-AFB06 : BSc(Hons) Computer Science (Year 2)
  • USCM-AAB07 : BSc(Hons) Computer Science with Study year abroad (Year 2)
  • USCM-AKB07 : BSc(Hons) Computer Science with Year long work placement (Year 2)
  • USCM-AFM01 : MComp(Hons) Computer Science (Year 2)
  • USCM-AAM02 : MComp(Hons) Computer Science with Study year abroad (Year 2)
  • USCM-AKM02 : MComp(Hons) Computer Science with Year long work placement (Year 2)
  • USCM-AFB20 : BSc(Hons) Computer Science and Mathematics (Year 2)
  • USCM-AAB20 : BSc(Hons) Computer Science and Mathematics with Study year abroad (Year 2)
  • USCM-AKB20 : BSc(Hons) Computer Science and Mathematics with Year long work placement (Year 2)
  • USCM-AFM14 : MComp(Hons) Computer Science and Mathematics (Year 2)
  • USCM-AAM14 : MComp(Hons) Computer Science and Mathematics with Study year abroad (Year 2)
  • USCM-AKM14 : MComp(Hons) Computer Science and Mathematics with Year long work placement (Year 2)

CM20217 is Optional on the following programmes:

Department of Computer Science
  • USCM-AFB09 : BSc(Hons) Computer Science with Business (Year 3)
  • USCM-AAB10 : BSc(Hons) Computer Science with Business with Study year abroad (Year 4)
  • USCM-AKB10 : BSc(Hons) Computer Science with Business with Year long work placement (Year 4)
Department of Mathematical Sciences
  • USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 2)
  • USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
  • USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 2)
  • USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
  • USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 2)
  • USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
  • USMA-AFB13 : BSc(Hons) Mathematics (Year 2)
  • USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
  • USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 2)
  • USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
  • USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 2)
  • USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
  • USMA-AFM14 : MMath(Hons) Mathematics (Year 2)
  • USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
  • USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 2)
  • USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 2)
  • USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
  • USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
  • USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
  • USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
  • USMA-AFB05 : BSc(Hons) Statistics (Year 2)
  • USMA-AFB05 : BSc(Hons) Statistics (Year 3)
  • USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 2)
  • USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
  • USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 2)
  • USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)

Notes:
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.