Module Title: Mathematics
 Credits: 5
 NFQ Level: 6
Module Delivered In 1 programme(s)
Teaching & Learning Strategies: A mix of traditional lectures and take-home exercises will enable the student to fully understand and practice the various mathematical techniques presented.
Module Aim: To provide students with some mathematical techniques appropriate for computer science.
Learning Outcomes
On successful completion of this module the learner should be able to:
LO1 Apply the basic concepts of graph theory to analyse computer networks.
LO2 Solve various types of probability problems using the theory of probability distributions.
LO3 Explain and apply some numerical analysis techniques.
LO4 Demonstrate an understanding of number theory and its applications particularly basic cryptography.
LO5 Formulate statements using propositions and connectives.
LO6 Establish the validity of simple arguments using laws of reasoning
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
Numerical Methods
Newtonâ€™s method, line and curve fitting, programming of techniques.
Graph Theory
Simple graphs, representing graphs, trees, connectivity, analysis of networks
Further Probability
Probability distributions, normal binomial and Poisson distributions.
Number Theory
Divisibility, Euclidean algorithm, linear congruences, applications to basic cryptography.
Mathematical Logic
Propositional logic, formal proofs, resolution principle.
Assessment Breakdown%
Continuous Assessment30.00%
End of Module Formal Examination70.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other CA marks will be based on the results of three 1 hour written tests during the term.   30.00 n/a
 No Project
 No Practical
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam The terminal examination will include questions on all aspects of the course 1,2,3,4,5,6 70.00 End-of-Semester

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