Module Title:  Mathematics 
Language of Instruction:  English 
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 reenforce 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 selfpaced 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. 
LO2 
Represent and interpret linear and quadratic graphical representations of data. 
LO3 
Interconvert between number systems. 
LO4 
Describe and apply the operations relations of elementary set theory. 
LO5 
Describe and apply the operations and relations of elementary logic theory. 
LO6 
Describe and apply the laws of elementary probability & counting theory. 
LO7 
Carry out calculations involving trigonometric functions using a calculator. 
LO8 
Solve right angled and non right angled triangles. 
LO9 
Execute the elementary Matrix operations and identify the inverse Matrix relationship. 
LO10 
Execute the elementary vector operations in two dimensions. 
LO11 
Use Matrices to implement two dimensional rotations and represent this effect on graph diagrams. 
Prerequisite 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 
Corequisite Modules

No Corequisite 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 nonright 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 Assessment  100.00% 
Continuous Assessment 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Examination 
Continuous Assessment 
1,2,3,4,5,6,7,8,9,10,11 
100.00 
n/a 
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
