Featured Programs
Experiential Learning Opportunities
Claim up to $1,000 in flight credits!
Get up to $1,000 in flight credits or grants toward study or internship programs abroad when you apply by January 01, 2025. See our Official Rules for full details.
Geometry
University of Galway - Direct Enroll Program
Galway, Ireland
Dates: 1/7/25 - 5/11/25
Geometry
OVERVIEW
CEA CAPA Partner Institution: University of Galway
Location: Galway, Ireland
Primary Subject Area: Mathematics
Instruction in: English
Course Code: MA334
Transcript Source: Partner Institution
Course Details: Level 300
Recommended Semester Credits: 2.5
Contact Hours: 36
DESCRIPTION
This course introduces the students to Euclidean and non-Euclidean geometry. The Euclidean geometry component covers both the synthetic and the algebraic approaches. It also covers some applications of spherical geometry.
Learning Outcomes
1. describe, with reference to appropriate examples, the difference between the synthetic approach and the algebraic approach to Euclidean geometry;
2. state and prove some of the basic propositions of Euclidean geometry;
3. apply deductive reasoning to solve geometric problems;
4. explain the classification of isometries of the Euclidean plane;
5. describe the symmetries of some simple shapes such as regular polygons;
6. calculate spherical distance, angles and areas;
7. compare and contrast the geometry of the plane with that of the sphere
Learning Outcomes
1. describe, with reference to appropriate examples, the difference between the synthetic approach and the algebraic approach to Euclidean geometry;
2. state and prove some of the basic propositions of Euclidean geometry;
3. apply deductive reasoning to solve geometric problems;
4. explain the classification of isometries of the Euclidean plane;
5. describe the symmetries of some simple shapes such as regular polygons;
6. calculate spherical distance, angles and areas;
7. compare and contrast the geometry of the plane with that of the sphere