 # Mathematics for IT 1

Parent Programme
Bachelor of Science in Computing (Level 7 NFQ)
MODULE NFQ
Level 6
MODULE CREDIT UNITS
ECTS: 5
MODULE TITLE
Mathematics for IT 1
Reference Code: M1.8
STAGE
Year 1
Spring Semester 2
12 Weeks X 3.15 Hours per week

## Linear algebra - Mathematics for IT 1

It is important that students understand the fundamentals of mathematics in computing so that they can apply their mathematical knowledge when writing algorithms and producing websites.

• Introduction to matrices and the order of matrices
• Adding, subtracting and multiplying matrices
• The determinant and inverse of 2 x 2 and 3 x 3 matrices
• Linear equations and Gauss-Jordan elimination
• Matrix transformations: translations, scaling, stretches and rotations
• Properties of Vectors
• Point and vector addition and subtraction
• Magnitude and direction of vectors
• Dot and cross product
• Vector transformations: translations, scaling stretches and rotations
• Projections

## Geometry and Trigonometry

Learners taking the Mathematics for IT 1 will gain an understanding of the geometric and trigonometric properties of shapes.

• Lines and rays
• Spheres and circles
• Planes
• Triangles
• Polygons
• The Euler characteristic
• Pythagoras theorem
• Sine, cos and tan
• Sine rule and cosine rule
• Distance from points to lines, rays and segments and polygons

## Mathematics for IT - Numbers and Computers

Learners will perform calculations using vectors and convert between decimal, binary, octal and hexadecimal numbers.

• Binary Numbers and their use in computing
• Adding, subtracting multiplying and dividing binary numbers
• Octal numbers
• Converting between decimal, binary, octal and hexadecimal numbers
• Floating point numbers

#### Minimum Intended Learning Outcomes (MIMLOs)

Upon successful completion of this module, the learner should be able to:
LO1
Conduct basic operations on matrices.
LO2
Perform calculations using vectors.
LO3
Explain how linear algebra is used in computing.
LO4
Understand the geometric and trigonometric properties of shapes.
LO5
Convert between decimal, binary, octal and hexadecimal numbers.

#### Assessment

MIMLOs
Assessment
Percentage
1 - 3
Continuous Assessment
60%
1 - 5
Examination
40%

#### Reassessment Opportunity

Where the combined marks of the assessment and examination do not reach the pass mark the learner will be required to repeat the element of assessment that they failed. Reassessment materials will be published on Moodle after the Examination Board and will be aligned to the MIMLOs and learners will be capped at 40% unless there are personal mitigating circumstances.

### Aims & Objectives

The aim of this module is to enable the learner to develop and foster their creativity and problem solving skills using mathematics.  Learners will apply the fundamental practices and concepts of computer science and develop an appreciation of the diverse role of computing technology in society and the environment in which we live.

This module will ensure learners meet the following objectives:

• Recognise the applications of mathematics in computing.