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801399A Geometry, 5 ECTS cr 
Code 801399A  Validity 01.08.2019 -
Name Geometry  Abbreviation Geometry 
Scope5 ECTS cr   
Type Intermediate Studies Discipline3250 Mathematics 
  Grading1 - 5, pass, fail 
Unit Field of Mathematics 

Pekka Salmi 

ECTS Credits 

5 ECTS credits

Language of instruction 



2nd to 5th year

Learning outcomes 

After completion of the course, the student can use geometric axioms to justify simple geometric results and apply axioms and known results in geometric problems and deductions.


The course is an introduction to axiomatic geometry from a modern viewpoint. Using geometric axioms, we first derive the concept of vector and vectors are used in the study of geometry.

We first study affine geometry and then Euclidean geometry. Some classical results such as Ceva's theorem are derived. Finally, we consider area and volume.

Mode of delivery 

Face-to-face teaching

Learning activities and teaching methods 

28 hours lectures, 14 hours tutorials, 91 hours independent work

Target group 

Major and minor students in mathematics

Prerequisites and co-requisites 

Linear algebra

Recommended or required reading 

Lecture notes. Literature: John Roe, Elementary Geometry, Oxford University Press, Oxford, 1993.

Assessment methods and criteria 

Final exam


1-5, fail

Person responsible 

Pekka Salmi

Working life cooperation 



Current and future instruction
No instruction in WebOodi

Future examinations
Functions Name Type ECTS cr Teacher Schedule
registration period has ended Geometry  Exam  Pekka Salmi 
10.08.20mon 12.00-15.00