Please note! Course description is confirmed for two academic years (1.8.2018-31.7.2020), which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.
- The student understands the basic concepts of number theory and is able to perform modular arithmetics.
- The student understands the quadratic reciprocity law, one of the most important theorems in Number Theory.
- The student is familiar with some applications of Number Theory in Cryptography.
Schedule: 26.10.2020 - 02.12.2020
Teacher in charge (valid 01.08.2020-31.07.2022): Camilla Hollanti
Teacher in charge (applies in this implementation): Camilla Hollanti
Contact information for the course (applies in this implementation):
CEFR level (applies in this implementation):
Language of instruction and studies (valid 01.08.2020-31.07.2022):
Teaching language: English
Languages of study attainment: English
CONTENT, ASSESSMENT AND WORKLOAD
integer factorization, primes, pseudo primes, modular arithmetics, squares and nonsquares in modular arithmetics, quadratic reciprocity, primititive roots, applications to cryptography.
Assessment Methods and Criteria
Lectures, homework, project work
16h lectures+12h exercise session (4h+2h / week) + self-study. Some of the scheduled lectures (in Oodi/MyCourses) and exercise sessions are used for project work.
William Stein: Elementary Number Theory: Primes, Congruences, and Secrets
Substitutes for Courses
High school mathematics. MS-A040X OR MS-C1080 is recommended.
- Teacher: Camilla Hollanti