Module Title: Mathematics English
 Credits: 10
 NFQ Level: 6
Module Delivered In 7 programme(s)
Teaching & Learning Strategies: The students will be organized into lectures and be given two lectures a week in order to cover module content items 3 to 8 inclusive. During these lectures the students will be encouraged to be active. They will be given activities to attempt, during the lecture, in order to re-enforce the learning and understanding achieved through the lecturer’s introduction. The students will be then given take home activity sheets in order to be able to continue practicing the techniques. The students will be allocated a one hour tutor supervised computer laboratory session every week. In this session the students will be guided and supported through a Computer Assisted Learning (CAL) package which will cover module content items 1 & 2. The learning here will be self-paced and guided and supported by the tutor. The package will be available for student use outside their scheduled laboratory time.
Module Aim: This module aims to provide students with a broad and solid foundation in mathematical concepts and techniques that they may encounter in subsequent programme modules.
Learning Outcomes
On successful completion of this module the learner should be able to:
LO1 Manipulate simple algebraic expressions and solve simple algebraic equations with confidence and represent and interpret linear and quadratic graphical representations of data.
LO2 Describe and apply the operations relations of elementary set theory. and interconvert between number systems.
LO3 Describe and apply the operations and relations of elementary logic theory and execute the elementary vector operations in two dimensions.
LO4 Describe and apply the laws of elementary probability & counting theory.
LO5 Carry out calculations involving trigonometric functions using a calculator and solve right angled and non right angled triangles.
LO6 Execute the elementary Matrix operations and identify the inverse Matrix relationship and use Matrices to implement two dimensional rotations and represent this effect on graph diagrams.
Pre-requisite learning
Module Recommendations

This is prior learning (or a practical skill) that is recommended before enrolment in this module.

No recommendations listed
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed.
No requirements listed

## Module Content & Assessment

Indicative Content
Algebra & Arithmetic
Fractions, Powers, manipulating algebraic expressions, solving equations
Graphs
Cartesian Plane, Linear and Quadratic graphs
Number Systems
Decimal, binary, octal and hexadecimal systems.
Set Theory and Logic
Notations and basic operations, Venn Diagrams, Truth Tables, Equality of Sets and Logical equivalence.
Probability
Counting, calculating probabilities
Trigonometry
Trigonometric ratios and their inverses, Pythagoras’s Theorem, Right angled triangles. Solve non-right angled triangles
Vectors
Addition, scalar multiplication and scalar product and their graphical representations in two dimensions
Matrices
Addition, multiplication, transpose, inverse, of 2x2 and 3x3 matrices, determinants, Cramer's Rule
Assessment Breakdown%
Continuous Assessment100.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Practical/Skills Evaluation n/a 1 15.00 n/a
Examination Continuous Assessment 2,3,4,6 80.00 n/a
Open-book Examination n/a 5 5.00 n/a
 No Project
 No Practical
 No End of Module Formal Examination

ITCarlow reserves the right to alter the nature and timings of assessment

## Module Workload

Workload: Full Time
Workload Type Frequency Average Weekly Learner Workload
Lecture 30 Weeks per Stage 2.00
Laboratory 30 Weeks per Stage 1.00
Estimated Learner Hours 30 Weeks per Stage 3.67
Total Hours 200.00

## Module Delivered In

Programme Code Programme Semester Delivery
CW_KCCYB_B Bachelor of Science (Honours) in Cyber Crime & IT Security 1 Mandatory
CW_KCCIT_B Bachelor of Science (Honours) in Information Technology Management 1 Mandatory
CW_KCSOF_B Bachelor of Science (Honours) in Software Development 1 Mandatory
CW_KCCYB_D Bachelor of Science in Cyber Crime & IT Security 1 Mandatory
CW_KCCSY_D Bachelor of Science in Information Technology Management 1 Mandatory
CW_KCSOF_D Bachelor of Science in Software Development 1 Mandatory
CW_KCCOM_C Higher Certificate in Science in Computing (Applications or Programming) 1 Mandatory