Module: Mathematical Concepts & Skills

Latest Module Specifications

Current Academic Year 2025 - 2026

Module Title	Mathematical Concepts & Skills
Module Code	MTH1012 (ITS: MS111)
Faculty	Science & Health	School	Mathematical Sciences
NFQ level	8	Credit Rating	5

Description

This module introduces students to core mathematical concepts and supports their development of proficiency in basic mathematical skills. The module focuses on the concepts of variable, equality, set, number, function, graph and logic, and introduces students to mathematical proofs.

Learning Outcomes

1. 1DCE4043-A224-0001-B2B0-1FB012241572
2. carry out algebraic manipulations proficiently in solving a selection of equations and inequalities and in determining the properties of a selection of functions;
5. 1
6. 1DCE4043-AB82-0001-9D7A-1D1019B01A22
7. demonstrate a working knowledge of key mathematical concepts (including variables, equations and equality, order and inequality, function, graph) in a variety of situations;
10. 2
11. 1DCE4043-B081-0001-2727-198B1BF01EAA
12. apply a selection of mathematical proof techniques;
15. 3
16. 1DCE4043-B3D8-0001-CAFE-1150BF307930
17. solve problems relevant to the module content;
20. 4
21. 1DCE4043-C19C-0001-C9BC-83A07620112A
22. show how mathematical definitions are used in proofs and algorithms and use mathematical language correctly;
25. 5
26. 1DCE4043-C600-0001-E71C-92751243153D
27. generate examples of the mathematical objects studied in the module.
30. 6

*Type*	*Hours*	*Description*
Workload	Full time hours per semester
Lecture	18	Lectures on course content
Group work	12	Weekly group-based workshop
Tutorial	6	Weekly tutorial
Independent Study	89	Independent study and revision
Total Workload: 125

Section Breakdown
CRN	11944	Part of Term	Semester 1
Coursework	30%	Examination Weight	70%
Grade Scale	40PASS	Pass Both Elements	N
Resit Category	RC1	Best Mark	N
Module Co-ordinator	Niamh O'Sullivan	Module Teacher

Type	Description	% of total	Assessment Date
Assessment Breakdown
Performance evaluation	Weekly workshop with marks for participation	5%	Every Week
In Class Test	In Class Test	15%	Week 7
Assignment	n/a	10%	Week 8
Formal Examination	n/a	70%	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

Variables and equations

Numbers, absolute value and inequalities

Proof

Functions I: sets and mappings; functions

Circles and triangles

Functions II: graphs and the coordinate plane

Indicative Reading List

Books:
None

Articles:
None

Other Resources

None