MATA241 Analytic Geometry - for Subject Teachers (4 cr)
Study level:
Intermediate studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023, 2023-2024
Description
Analytic plane geometry: Conic sections and their different representations, theory of affine geometry. GebGebra as a tool for teaching.
Learning outcomes
After completing the course the student knows
- how to determine a conic section using the focus and directrix, and their connection to algebraic equations.
- the most essential results about conic sections and their proofs
- a conic section from a second order algebraic equation of two variables
- how to parametrise conic sections and obtain the equations of the tangents using the parametrisation
- basic properties of isometries
- basic properties of affine mas and fundamental theorems in affine geometry
- how to apply affine maps to prove geometric results
- basic properties of the GeoGebra-program and how to make simple geometric demonstrations
- how to apply the GeoGebra-program in identifying geometric properties and how to formulate mathematical statements from them
Description of prerequisites
Lineaarinen algebra ja geometria 1. Euklidinen tasogeometria ja Lineaarinen algebra ja geometria 2 suositeltavia mutta eivät välttämättömiä.
Study materials
Kurssilla jaettava luentomoniste.
Literature
- Brannan D. A., Esplen M. F. , Gray J. J., Geometry, Cambridge University Press, 1999, ISBN:9780511807503
Completion methods
Method 1
Evaluation criteria:
Grading is based on points from exam, weekly exercises and a mandatory practical work.
Select all marked parts
Method 2
Evaluation criteria:
Grading is based on points from the final exam
Select all marked parts
Parts of the completion methods
x
Teaching (4 cr)
Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
Grading is based on points from exam, weekly exercises and a mandatory practical work.
Language:
Finnish
Study methods:
Lectures 28 h, 7 exercises.
Study materials:
Kurssilla jaettava luentomoniste.
Literature:
- Brannan D. A., Esplen M. F. , Gray J. J., Geometry, Cambridge University Press, 1999, ISBN:9780511807503
x
Exam (4 cr)
Type:
Exam
Grading scale:
0-5
Evaluation criteria:
Gradin is based on final exam.
Language:
English, Finnish
Study materials:
Kurssillla jaettava luentomoniste.
Literature:
- Brannan D. A., Esplen M. F. , Gray J. J., Geometry, Cambridge University Press, 1999, ISBN:9780511807503