# 2018/19 Undergraduate Module Catalogue

## COMP1511 Introduction to Discrete Mathematics

### 10 creditsClass Size: 300

**Module manager:** Kristina Vuskovic**Email:** k.vuskovic@leeds.ac.uk

**Taught:** Semester 2 View Timetable

**Year running** 2018/19

**This module is not approved as a discovery module**

### Module summary

Discrete mathematics studies finite mathematical structures and is the mathematical foundation for many Computer Science disciplines including algorithm design, data structures, database theory, formal languages and automata, compilers and importantly security. This module concentrates on the fundamentals of discrete mathematics introducing a number of concepts and skills that will be applied throughout the remainder of the Computer Science curriculum.This module builds upon previously taught mathematics modules and introduces students to a variety of powerful tools that can model a wide range of problems that arise in many areas including transportation, telecommunications and molecular biology.### Objectives

To develop the range of concepts and techniques that students have when approaching real world problems and to allow students the opportunity to apply problem solving techniques to problems that arise in Computer Science disciplines. To prepare students for further mathematical study in the discipline of Computer Science.**Learning outcomes**

On successful completion of this module a student will have demonstrated the ability to:

- apply counting arguments to problems that arise in Computer Science and more widely.

- recall definitions and theorems from the topic areas of combinatorics, discrete probability and graph theory.

- construct mathematical arguments, in the effort to prove the correctness of theorems.

- deploy problem solving techniques to problems within the discipline.

- transfer problem solving skills into difference domains.

### Syllabus

This module covers the following 3 topic areas:

- Combinatorics : multiplication principle, addition principle, Pigeon hole principle, permutation and combinations (with and without repetition).

- Discrete probability : experiment, sample space, events, finite probability space, equi-probable spaces, conditional probability, mutually exclusive and independent events.

- Graph theory : graph models, graph isomorphism, degree, paths, cycles, Euler's theorem, bipartite graphs and trees.

### Teaching methods

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Delivery type | Number | Length hours | Student hours |

Class tests, exams and assessment | 1 | 2.00 | 2.00 |

Lecture | 22 | 1.00 | 22.00 |

Tutorial | 10 | 1.00 | 10.00 |

Private study hours | 66.00 | ||

Total Contact hours | 34.00 | ||

Total hours (100hr per 10 credits) | 100.00 |

### Private study

Taught session preparation: 18 hoursTaught session follow-up: 18 hours

Self-directed study: 7 hours

Assessment activities: 23 hours

### Opportunities for Formative Feedback

Attendance and formative assessment### Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

**Coursework**

Assessment type | Notes | % of formal assessment |

Problem Sheet | Problem Sheet | 5.00 |

Problem Sheet | Problem Sheet | 5.00 |

Problem Sheet | Problem Sheet | 5.00 |

Problem Sheet | Problem Sheet | 5.00 |

Total percentage (Assessment Coursework) | 20.00 |

This module is re-assessed by exam only.

**Exams**

Exam type | Exam duration | % of formal assessment |

Standard exam (closed essays, MCQs etc) | 2 hr 00 mins | 80.00 |

Total percentage (Assessment Exams) | 80.00 |

This module is re-assessed by exam only.

### Reading list

The reading list is available from the Library websiteLast updated: 30/04/2018

## Browse Other Catalogues

- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue

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