 # Module ICE-1221:Mathematics for Computing

### Module Facts

Run by School of Computer Science and Electronic Engineering

20 Credits or 10 ECTS Credits

Semester 1 & 2

Organiser: Dr David Evans

### Overall aims and purpose

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.

### Course content

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.

### Assessment Criteria

#### excellent

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.

#### threshold

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.

#### good

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.

### Learning outcomes

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. Apply elementary algebra.

5. Perform basic matrix and vector operations.

### Assessment Methods

Type Name Description Weight
COURSEWORK Semester 2 - Assignment 1

Matrix types, operations, vectors. Solving systems of equations using matrix techniques.

12.5
COURSEWORK Semester 2 - Assignment 2

Further Matrix methods. Probability Theory.

12.5
EXAM Exam 1

Graph and set theory, algebra, Boolean Algebra and structures.

25
EXAM Exam 2

Matrix, vector and probability.

25
COURSEWORK Semester 1 - Assignment 1

Graphs, polynomials and basic algebra

12.5
COURSEWORK Semester 1 - Assignment 2

Graphs, Calculus, Boolean Algebra, Advanced Algebra (including Determinant Theory)

12.5

### Teaching and Learning Strategy

Hours
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

### Transferable skills

• Numeracy - Proficiency in using numbers at appropriate levels of accuracy
• Computer Literacy - Proficiency in using a varied range of computer software
• Self-Management - Able to work unsupervised in an efficient, punctual and structured manner. To examine the outcomes of tasks and events, and judge levels of quality and importance
• Information retrieval - Able to access different and multiple sources of information
• Critical analysis & Problem Solving - Able to deconstruct and analyse problems or complex situations. To find solutions to problems through analyses and exploration of all possibilities using appropriate methods, rescources and creativity.

### Subject specific skills

• Solve problems logically and systematically;
• Knowledge and understanding of facts, concepts, principles & theories
• Problem solving strategies
• Development of general transferable skills
• Knowledge and/or understanding of appropriate scientific and engineering principles
• Knowledge and understanding of mathematical principles
• Knowledge and understanding of computational modelling
• Principles of appropriate supporting engineering and scientific disciplines