# FOUNDATIONS OF COMPUTING - 2017/8

Module code: COM1026

Module provider

Computer Science

Module Leader

GILLAM L Dr (Computer Sci)

Number of Credits

15

ECT Credits

15

Framework

FHEQ Level 4

JACs code

I100

Module cap (Maximum number of students)

N/A

Module Availability

Semester 1

Overall student workload

Independent Study Hours: 113

Lecture Hours: 36

Laboratory Hours: 8

Assessment pattern

Assessment type | Unit of assessment | Weighting |
---|---|---|

Coursework | CW 1 (IND) | 20% |

Coursework | CW II (IND) | 20% |

Examination | EXAMINATION - 2 HOURS | 60% |

Alternative Assessment

N/A

Prerequisites / Co-requisites

None

Module overview

The course introduces the core concepts of discrete mathematics, including truth tables, propositional and predicate logic, set theory, relations, functions and mathematical proof. These concepts are useful throughout the programme.

Module aims

This module aims to introduce students to some of the key concepts of logic, set theory, mathematical functions and proof methods in order to highlight the importance and power of abstraction within computer science. Students will also be introduced to Octave programming environment to perform calculations, plot graphs, and write simple programs

Learning outcomes

Attributes Developed | |
---|---|

Recognise the importance and role of logic in computing | C |

Understand and manipulate propositions and predicates | KCT |

Understand and manipulate set theoretic expressions including relations and functional notation | KCT |

Sketch elementary mathematical functions | KPT |

Recognise, understand and construct rigorous mathematical proofs | CT |

Use Octave programming environment to perform calculations, plot graphs, and write simple programs | KP |

Attributes Developed

**C** - Cognitive/analytical

**K** - Subject knowledge

**T** - Transferable skills

**P** - Professional/Practical skills

Module content

Indicative content includes:

Logic:

Truth tables

Propositional logic

Quantifiers & Predicate logic

Set theory:

Sets: definition, union, intersection, power set, set comprehension

Cartesian products, relations

Functions:

Surjective, injective and bijective functions

Periodic, logarithmic, exponential and polynomial functions

Introduction to Octave:

Numerical calculations

Plot graphs

Simple programs to solve numerical problems (e.g., find zeros of a polynomial)

Proof Methods

Direct proofs

Proofs by contradiction

Proof by induction

Methods of Teaching / Learning

The learning and teaching strategy is designed to:

Help students recognise the importance and role of logic in computing

Provide opportunities to manipulate propositions, predicates and set theoretic expressions including relations and functional notation

Help students to assimilate the concept of formal proof

Enable students to extract information about a function by sketching its graph

Highlight the links between logic, abstraction, software specifications and programming

Practise to perform calculations, plot graphs, and write simple programs using Octave

The learning and teaching methods include:

Lectures (11 weeks at 3h) using EVS handsets to gauge the students’ understanding

Laboratory session (4 weeks at 2h) using Octave.

Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate that they have achieved the module learning outcomes.

Thus, the summative assessment for this module consists of:

· An individual coursework on truth tables, propositional and predicate logic. This addresses LO1 and LO2.

· An individual coursework on sets, relations, functions and proof methods. This addresses LO1, LO3, LO4 and LO5.

· A 2h unseen examination on the whole course content. This addresses LO1, LO2, LO3, LO4, LO5 and LO6.

The individual courseworks will be due around week 5 and 10 respectively. The exam takes place at the end of the semester during the exam period.

Formative assessment and feedback

EVS handsets are used extensively in the lectures with each lecture consisting of a number of slides explaining the theory followed by a number of slides gauging the students’ understanding. The answers are discussed when necessary, e.g., if a high proportion (more than 25%) of the students got the answer wrong.

Individual formative feedback will also be given during the lab sessions and as part of the summative assessment.

Reading list

Reading list for FOUNDATIONS OF COMPUTING : http://aspire.surrey.ac.uk/modules/com1026

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2017/8 academic year.