Module Specifications..
Current Academic Year 2023  2024
Please note that this information is subject to change.
 
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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. NonEuclidean 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 nonEuclidean geometry 3. Solve problems in Euclidean geometry and plane trigonometry. 4. Describe applications and manifestations of geometry in the natural and manmade world. 5. Use dynamic software in teaching geometry.  
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 NonEuclidean geometries Using Geogebra  
 
Indicative Reading List
 
Other Resources None  
Programme or List of Programmes
 
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