Course - Number Theory - MA1301
MA1301 - Number Theory
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | D |
Course content
This course gives an introduction to elementary number theory. Topics included are: greatest common divisor, Euclidean algorithm, linear diophantine equations, elementary prime number theory, linear congruences, Chinese remainder theorem, Fermat's little theorem, Euler's phi-function, Euler's theorem with application to cryptography. Additional topics that may change from year to year may include number theoretical functions, Fermat's last theorem for n = 4, continued fractions, rational approximations, Pell's equations, and quadratic reciprocity.
Learning outcome
1. Knowledge. The student is familiar with basic concepts in elementary number theory as specified under "Academic content". 2. Skills. The student is able to apply the theoretical knowledge to solve concrete problems. This includes being able to apply Euclid's division algorithm, solve diophantine equations and (systems of) linear congruences, encryption and decryption of messages in given RSA-systems. The student is able to write simple mathematical proofs.
Learning methods and activities
Lectures and compulsory exercises.
Compulsory assignments
- Exercises
Further on evaluation
The re-sit examination may be given as an oral examination.
There are 12 exercise sets, and students must complete at least 8 in order to take the exam.
Postponed exam may by the course responsible be changed to oral examination.
Recommended previous knowledge
There are no prerequisites beyond high school mathematics.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| MNFMA104 | 6.0 | ||
| MA6301 | 7.5 | AUTUMN 2007 | |
| TMA4155 | 3.0 | AUTUMN 2009 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: AUTUMN 2023
Language of instruction: Norwegian
Location: Trondheim
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 100/100 D 2023-11-30 09:00 INSPERA
-
Room Building Number of candidates SL325 Sluppenvegen 14 1 SL274 Sluppenvegen 14 2 SL120 blå sone Sluppenvegen 14 1 SL111 orange sone Sluppenvegen 14 53 SL111 lyseblå sone Sluppenvegen 14 40 - Summer UTS School exam 100/100 D INSPERA
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"