DCU Home | Our Courses | Loop | Registry | Library | Search DCU


Module Specifications

Archived Version 2017 - 2018

Module Title
Module Code

Online Module Resources

NFQ level 8 Credit Rating 7.5
Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None

This module focusses on the axiomatic approach to Euclidean geometry, paying particular attention to the role of this topic in the Irish second level mathematics syllabus. Non-Euclidean geometry will also be studied and students will use dynamic geometry software in the module.

Learning Outcomes

1. Describe the roles of defined, undefined and implicitly defined terms, axioms, lemmas, theorems and corollaries in a system of geometry.
2. Present proofs and constructions in Euclidean and non-Euclidean geometry
3. Solve problems in Euclidean geometry and plane trigonometry.
4. Describe applications and manifestations of geometry in the natural and man-made world.
5. Use dynamic software in teaching geometry.

Workload Full-time hours per semester
Type Hours Description
Lecture24Two lectures each week
Tutorial12One tutorial/problem session each week
Independent Study76No Description
Total Workload: 112

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

The terms and axioms of Euclidean geometry

Topics in Euclidean geometry
a. Length, distance, angles and angle measure b. Equivalent characterisations of congruent triangles c. Parallel and perpendicular lines; parallelograms and quadrilaterals d. Ratios and similarity e. Area and Pythagoras’s theorem f. Circles and special triangle points

Constructions in Euclidean geometry

Applications of Euclidean geometry

Non-Euclidean geometries

Using Geogebra

Assessment Breakdown
Continuous Assessment% Examination Weight%
Course Work Breakdown
TypeDescription% of totalAssessment Date
Reassessment Requirement
Resit arrangements are explained by the following categories;
1 = A resit is available for all components of the module
2 = No resit is available for 100% continuous assessment module
3 = No resit is available for the continuous assessment component
Indicative Reading List

  • Department of Education and Skills: 0, Geometry for School Mathematics (Section B, Leaving Certificate Mathematics Syllabus),
Other Resources

Programme or List of Programmes