MATA3510 Number Theory 2 (4 cr)
Study level:
Intermediate studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2024-2025, 2025-2026, 2026-2027, 2027-2028
Description
The course expands knowledge of the basics of number theory based on Number Theory 1.
The course covers, for example,
- Number-theoretic functions such as Euler's function, factor sum functions and Möbius' function
- Representing whole numbers as the sum of two or more squares
- Higher order Diophantus equations such as Fermat's and Pell's equations
- Number theory of rational numbers such as Farey's sequence, Diophantus' approximation, Continued fractions
- Riemann's zeta function
Learning outcomes
After completing the course, the student
- knows the central questions of number theory
- masters the number theory methods and techniques discussed in the course
Description of prerequisites
MATA151 Lukuteoria 1
Completion methods
Method 1
Description:
Participation in teaching, exercises and course exam.
Evaluation criteria:
The grade is determined based on the score of the course exam and exercise credits.
Select all marked parts
Method 2
Description:
Final exam
Evaluation criteria:
The grade is determined based on the score of the final exam.
Select all marked parts
Parts of the completion methods
x
Participation in teaching (4 cr)
Type:
Participation in teaching
Grading scale:
0-5
Language:
English, Finnish
x
Exam (4 cr)
Type:
Exam
Grading scale:
0-5
Language:
English, Finnish