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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 
TypeCourse   
  Grading1 - 5, pass, fail 
 
   
Unit Field of Mathematics 

Teachers
Name
Pekka Salmi 

Description
ECTS Credits 

5 ECTS credits

 
Language of instruction 

Finnish

 
Timing 

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.

 
Contents 

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

 
Grading 

1-5, fail

 
Person responsible 

Pekka Salmi

 
Working life cooperation 

No

 


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