This page is for the academic year 2021-22. The current handbook year is 2022-23
Department: Mathematical Sciences
||Available in 2021/22
- Normally, A level Mathematics at grade A or better, or
Excluded Combination of Modules
- To provide students with a range of tools for counting discrete
- To introduce students to graph theory and its varied applications.
- To develop the students' ability in group working, written and oral skills.
- Principles of counting: permutations and combinations, combinatorial vs arithmetical
- Pigeonhole principle, inclusion and
exclusion, mathematical induction.
- Recurrence relations, Fibonacci numbers, generating functions, and partitions.
- Basic concepts of graphs.
- Ability to solve a
range of predictable and less predictable problems in Discrete
- Awareness of some fundamental mathematical concepts
applicable in this field.
- A broad knowledge and basic understanding of Discrete Mathematics.
- students will have basic mathematical skills in the following
areas: Spatial awareness, Abstract reasoning, Modelling.
- students will develop the ability to write mathematical reports
with rigour and precision
- students will have basic problem solving skills.
- students will further their oral and written skills
Modes of Teaching, Learning and Assessment and how these contribute to
the learning outcomes of the module
- Lectures demonstrate what is required to be learned and the
application of the theory to practical examples.
- Tutorials provide the practice and support in applying the
methods to relevant situations as well as active engagement and feedback
to the learning process.
- Weekly coursework provides an opportunity for students
to consolidate the learning of material as the module progresses (there
are no higher level modules in the department of Mathematical Sciences
which build on this module). It serves as a guide in the correct
development of students' knowledge and skills, as well as an aid in
developing their awareness of standards required.
- Seminars in term 2 will develop the students ability for self-study on an
extended and open-ended programme, and enhance their group working skills.
- Presentations in week 19 will develop students oral communication
- The written report will train students to write an extended report with
precision and rigour of expression.
- The end-of-year written examination provides a substantial
complementary assessment of the achievement of the student.
Teaching Methods and Learning Hours
||2 per week in weeks 1-10, 11-13, 21 (excluding collection examination)
||Weekly in weeks 2-10, 12-13, 21.
||Weekly in weeks 14-19
|Preparation and Reading
||Component Weighting: 70%
||Length / duration
||Component Weighting: 30%
||Length / duration
|Presentation in Week 19
Weekly written assignments during term 1.
Normally, each will consist of solving problems and will typically
be one to two pages long. Students will have about one week to complete
each assignment. 45 minute collection paper in the beginning of
Submission of written work in week 17 for feedback.
■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University