# Geometry

University of Galway

## Course Description

Geometry

• ### Host University

University of Galway

• ### Location

Galway, Ireland

Mathematics

• ### Language Level

Taught In English

• ### Prerequisites

Enrollment of visiting students is subject to the agreement of the Head of Discipline and will depend upon the student's academic background in the relevent subject area.

• ### Course Level Recommendations

Upper

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

### Hours & Credits

• ECTS Credits

5
• Recommended U.S. Semester Credits
2
• Recommended U.S. Quarter Units
3
• ### Overview

This module is an introduction to the ideas and methods of classical and modern geometry.
On successful completion of this module the learner should be able to:
1. perform basic calculations of distance, angle measure and area in the Euclidean plane,
2. describe, with reference to appropriate examples, the difference between the synthetic and algebraic approaches to Euclidean geometry,
3. state and prove some of the basic propositions of plane Euclidean geometry,
4. use diagrams to aid in constructing proofs and solving problems,
5. apply deductive reasoning to solve geometric problems,
6. explain the classification of isometries of the Euclidean plane,
7. describe the symmetries of some simple shapes such as regular polygons,
8. calculate spherical distance, angle measure and area,
9. compare and contrast the geometry of the plane with that of the sphere.

### Course Disclaimer

Courses and course hours of instruction are subject to change.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

ECTS (European Credit Transfer and Accumulation System) credits are converted to semester credits/quarter units differently among U.S. universities. Students should confirm the conversion scale used at their home university when determining credit transfer.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.

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