MATA151 Number Theory 1 (4 cr)

Open the course unit brochure on Sisu
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

Elementary number theory: divisibility, prime numbers, number systems, congruence relation.

Learning outcomes

After completing the course, the student
  • can examine the divisibility of integers
  • knows the basics of the prime numbers
  • can use congruence in observing divisibility 
  • can start observing  a simple new problem in number theory without an example
  • know that an essential part of mathematics is research, making conjectures, and proving

Study materials

Lecture notes (in Finnish)

Literature

  • Gareth A. Jones and Josephine M. Jones, Elementary Number Theory; ISBN: 978-3-540-76197-6
  • Joseph H. Silverman, A Friendly Introduction to Number Theory; ISBN: 978-0-321-81619-1

Completion methods

Method 1

Description:
Suoritustavassa opintojakso suoritetaan osallistumalla luento-opetukseen ja siihen liittyviin laskuharjoituksiin, ja osallistumalla kurssitenttiin.
Evaluation criteria:
Course exam and exercises
Time of teaching:
Period 3
Select all marked parts

Method 2

Evaluation criteria:
Final exam
Select all marked parts
Parts of the completion methods
x

Teaching (4 cr)

Type:
Participation in teaching
Grading scale:
0-5
Language:
Finnish
Study methods:

Lectures 28h (in Finnish), 7 sets of exercises

Teaching

x

Exam (4 cr)

Type:
Exam
Grading scale:
0-5
Language:
English, Finnish

Teaching