Module: Geometry

Module Specifications..

Current Academic Year 2023 - 2024

Please note that this information is subject to change.

Module Title	Geometry
Module Code	MS302
School	School of Mathematical Sciences
Module Co-ordinator	Semester 1: Louise Nolan Semester 2: Louise Nolan Autumn: Louise Nolan
Module Teachers	Louise Nolan
NFQ level	8	Credit Rating	7.5
Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

None

Description

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.

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	24	Two lectures each week
Tutorial	12	One tutorial/problem session each week
Independent Study	139.5	No Description
Laboratory	12	Geogebra sessions in the computer lab.
Total Workload: 187.5

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	25%	Examination Weight	75%

Type	Description	% of total	Assessment Date
Course Work Breakdown
In Class Test	n/a	5%	Week 3
In Class Test	n/a	5%	Week 6
In Class Test	n/a	5%	Week 10
Assignment	Series of assignments using the Geogebra software package.	10%	As required

Reassessment Requirement Type
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
This module is category 1

Indicative Reading List

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

Other Resources

None

Programme or List of Programmes

PEM	BSc in Physical Education with Maths.
SE	BSc Science Education
SMPSC	Single Module Prof. Science and Health

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