Module: IT Mathematics I

Latest Module Specifications

Current Academic Year 2025 - 2026

Module Title	IT Mathematics I
Module Code	MTH1025 (ITS: MS134)
Faculty	Mathematical Sciences	School	Science & Health
NFQ level	8	Credit Rating	5

Description

This course concentrates on developing the algebraic and logical skills of the student. The course develops skills in the techniques of logic, probability, differential and integral calculus. Enhancing the student's ability to solve mathematical problems occuring in IT lies at the heart of this module. Students will participate in the following learning activities: Lectures: Students will attend three one-hour lectures per week. These lectures are designed to introduce learners to the mathematical principles and problem solving techniques that underpin this module. Tutorials: Each student will attend one one-hour tutorial per week. Problem sheets based on lecture content are distributed to the students and they are strongly advised to attempt all tutorial questions in advance of the tutorial.Reading: Students are expected to fully utilise the textbooks recommended.

Learning Outcomes

1. Apply the methods of discrete mathematics, including sets and relations.
2. Use logic to demonstrate the equivalence of statements and test the validity of arguments.
3. Work confidently with functions and in particular those covered in the course.
4. Demonstrate an understanding of basic probability.

*Type*	*Hours*	*Description*
Workload	Full time hours per semester
Lecture	36	3 lectures per week
Tutorial	10	One Tutorial per week
Directed learning	2	End of year exam
Directed learning	20	Solving tutorial problems
Independent Study	57	Independent study over semester including exam period
Total Workload: 125

Section Breakdown
CRN	11200	Part of Term	Semester 1
Coursework	0%	Examination Weight	0%
Grade Scale	40PASS	Pass Both Elements	Y
Resit Category	RC3	Best Mark	Y
Module Co-ordinator	Turlough Downes	Module Teacher

Type	Description	% of total	Assessment Date
Assessment Breakdown
In Class Test	In Class test	5%	Week 3
In Class Test	In Class Test	5%	Week 6
In Class Test	In Class Test	5%	Week 9
In Class Test	In Class Test	5%	Week 12
Formal Examination	n/a	80%	End-of-Semester

Reassessment Requirement Type
Resit arrangements are explained by the following categories; RC1: A resit is available for both^* components of the module. RC2: No resit is available for a 100% coursework module. RC3: No resit is available for the coursework component where there is a coursework and summative examination element. ^* ‘Both’ is used in the context of the module having a coursework/summative examination split; where the module is 100% coursework, there will also be a resit of the assessment

Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities

Set Theory/Logic
Sets, relations, equivalence relations and partitions, partial ordering, inverse relations, composition of relations, applications of relations to databases, predicate logic as a language, methods of proof, mathematical induction. Boolean algebra, equivalent boolean expressions.

Probability
Basic probability to include axioms, independent events, conditional probability and some probabiilty distributions.

Functions
Functions as a special case of relations, Injective, surjective and bijective functions, one-sided inverses, inverse functions, polynomials and the remainder theorem. Domain and range of functions.

Indicative Reading List

Books:

Rod Haggarty: 2002, Discrete Mathematics for Computing, 1, Addison-Wesley, 978-02017304
Susanna S. Epp: 2019, Discrete Mathematics with Applications, 5, Cengage Learning, 978-133769419

Articles:
None

Other Resources

None