Załącznik Nr 5 do Zarz. Nr 33/11/12
Z1-PU7
COURSE DESCRIPTION
(faculty stamp)
1. Course title: NUMBER THEORY
WYDANIE N1
Strona 1 z 2
2. Course code
3. Validity of course description: 2014/2015
4. Level of studies: 1st cycle of higher education
5. Mode of studies: intramural studies
6. Field of study: MATHEMATICS
RMS
7. Profile of studies: general
8. Programme: all
9. Semester: V
10. Faculty teaching the course: Institute of Mathematics
11. Course instructor: prof. dr hab. Olga Macedońska-Nosalska
12. Course classification: a limited selection of items ( monographic lecture)
13. Course status: elective
14. Language of instruction: English
15. Pre-requisite qualifications: basic English
16. Course objectives: learning English specific for understanding, reading and writing mathematical texts.
17. Description of learning outcomes:
Nr
1.
2.
3.
4.
5.
Learning outcomes description
Method of assessment
Reading and understanding text in Number Theory
book. Understanding speakers, e.g. the lecturer
Test,
observation, conversation
Presentation of mathematical papers in English
Giving a talk
Test,
observation, conversation
Test,
observation, conversation
Discussions,
Giving a talk
Teaching methods
Learning
outcomes
reference code
Lecture, class
Presentation prepared in program Beamer
Learning basic theorems in Number Theory
Application of theoretic facts for solving problems
Learning methods of proving Theorems
Lecture, class
Lecture, class
Lecture, class
18. Teaching modes and hours
Lecture
30
Class
30
Laboratorium
Projekt
Seminar
Lecture / BA /MA Seminar / Class / Project / Laboratory
19. Syllabus description:
Semester 5 :
Lectures: The Euclidean Algorithm, The linear Dophantine Equation, The fundamental Theorem of Arithmetics, The theory of congruences, The
little Fermat’s theorem, Wilson’s theorem, Arithmetic functions, Fibonacci numbers, Pythagorean triples, Fermat Last theorem.
Class-Tutorial: Problems for solving will illustrate the theoretic material and help for better understanding the ideas described in English during
the lectures.
20. Examination: none
21. Primary sources:
Elementary Number Theory, D.M.Burton, Allyn and Bacon Inc. Boston-London-Sydney-Toronto 1980
1
22. Secondary sources:
1. Elementy teorii liczb, Wacław Marzantowicz, Piotr Zarzycki, Wydawnictwo Naukowe UAM, ISBN 83-232-0973-1
2. A. Prószyński, Algebra z teorią liczb, Wydawnictwa Uniwersytetu Kazimierza Wielkiego, Bydgoszcz 2009.
23. Total workload required to achieve learning outcomes
Lp.
Teaching mode :
Contact hours / Student workload hours
1
Lecture
30/30
2
Classes
30/59
3
Laboratory
/
4
Project
/
5
BA/ MA Seminar
/
6
Other
1/
Total number of hours
61/89
24. Total hours: 150
25. Number of ECTS credits:
5
26. Number of ECTS credits allocated for contact hours:
5
27. Number of ECTS credits allocated for in-practice hours (laboratory classes, projects):
0
26. Comments:
To get credits one has to get no less than 41 points out of 100. Student writes 2 tests 2x30 points, can get 20 points for tutorial, 20 for presentation
and 7 for being present at the lectures. At the test student has to get no less than 30% for every topic,
Approved:
…………………………….
(date, Instructor’s signature)
…………………………………………………
(date , the Director of the Faculty Unit signature)
2