# Modiwl ICE-1221:Mathematics for Computing

### Ffeithiau’r Modiwl

Rhedir gan School of Computer Science and Electronic Engineering

20 Credyd neu 10 Credyd ECTS

Semester 1 a 2

Trefnydd: Dr David Evans

### Amcanion cyffredinol

This module aims to provide:

• a grounding in computational thinking.
• an understanding of the fundamental mathematics underlying all computing.
• experience dealing with the mathematical structures under-pinning programming and data structures.
• a revision of and practice with elementary algebra.

### Cynnwys cwrs

Indicative content includes:

• Introduce and use Graphs and Digraphs
• Apply Greedy Algorithms to various graphs
• Look at the fundamental of Sets and how to use them
• Learn to build Venn Diagrams
• Gain the concepts of Boolean algebra and Karnaugh maps to solve logic problems
• Use Lists in relation to algorithms
• Apply the use of Binary Trees for given problems
• Write Linear Difference Equations for various situations
• Gain a foundation in Differentiation both in theory and application.

### Meini Prawf

#### ardderchog

Equivalent to the range 70%+. Assemble critically evaluated, relevent areas of knowledge and theory to constuct professional-level solutions to tasks and questions presented. Is able to cross-link themes and aspects to draw considered conclusions. Presents outputs in a cohesive, accurate, and efficient manner.

#### trothwy

Equivalent to 40%. Uses key areas of theory or knowledge to meet the Learning Outcomes of the module. Is able to formulate an appropriate solution to accurately solve tasks and questions. Can identify individual aspects, but lacks an awareness of links between them and the wider contexts. Outputs can be understood, but lack structure and/or coherence.

#### da

Equivalent to the range 60%-69%. Is able to analyse a task or problem to decide which aspects of theory and knowledge to apply. Solutions are of a workable quality, demonstrating understanding of underlying principles. Major themes can be linked appropriately but may not be able to extend this to individual aspects. Outputs are readily understood, with an appropriate structure but may lack sophistication.

1. Understand graph and digraph problems and algorithms for solving them.

2. Calculate probabilities for elementary and compound events.

3. Understand polynomial functions, and their derivatives.

4. Perform basic matrix and vector operations.

5. Apply elementary algebra.

### Dulliau asesu

Graph and set theory, algebra and structures.

25

Matrix, vector and probability.

25
GWAITH CWRS Assignment 1

Graphs, polynomials and basic algebra

25
GWAITH CWRS Assignment 2

Probability and matrix operations

25

Oriau
Lecture

Traditional lectures (2hrs x 24 weeks).

48
Tutorial

Supporting tutorials (1hr x 24 weeks).

24
Private study

Tutor-directed private study, including preparation and revision.

128

• Rhifedd - Medrusrwydd wrth ddefnyddio rhifau ar lefelau priodol o gywirdeb
• Hunanreolaeth - Gallu gweithio mewn ffordd effeithlon, prydlon a threfnus. Gallu edrych ar ganlyniadau tasgau a digwyddiadau, a barnu lefelau o ansawdd a phwysigrwydd
• Adalw gwybodaeth - Gallu mynd at wahanol ac amrywiol ffynonellau gwybodaeth