Elementary Number Theory
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Course code
MLM6206.DT
old course code
MLM6206
Course title in Estonian
Arvuteooria
Course title in English
Elementary Number Theory
ECTS credits
4.0
Assessment form
Examination
lecturer of 2022/2023 Autumn semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
lecturer of 2022/2023 Spring semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
Course aims
Major. To study concepts of numbers, divisibility theory and arithmetical functions in general.
Brief description of the course
Introduction to number theory. Basic properties of divisibility. Number theoretic functions. Continued fractions. Linear diophantine equations. Continued fractions and approximation of real numbers. Basic properties of congruences. Modular arithmetic. Linear congruences. The Chinese remainder theorem. High-order congruences. Quadratic residues. Orders and primitive roots. Index Calculus. Some applications of Number Theory in cryptography.
Learning outcomes in the course
Upon completing the course the student:
- knows mathematical facts and is able to use methods in volume of a subject





Teacher
Tatjana Tamberg
Study programmes containing that course
Swedish Philology (GRR3B/19.HT)
Swedish Philology (GRR3B/22.HT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/22.DT)
Integrated Natural Sciences (MLLB/22.LT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/21.DT)
Swedish Philology (GRR3B/21.HT)
Integrated Natural Sciences (MLLB/21.LT)
Swedish Philology (GRR3B/20.HT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/20.DT)
Integrated Natural Sciences (MLLB/20.LT)
Integrated Natural Sciences (MLLB/19.LT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/19.DT)
Primary School Teacher (KAKLI/16.HR)
Mathematics, Mathematical Economics and Data Analysis (MLMB/18.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/17.DT)
Primary School Teacher (KAKLI/15.HR)
Integrated Natural Sciences (MLLB/00.LT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/16.DT)
Integrated Natural Sciences (MLLB/16.LT)
Computer Science (IFIFB/15.DT)
Integrated Natural Sciences (MLLB/15.LT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/15.DT)
Computer Science (IFIFB/14.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/14.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/13.DT)
Computer Science (IFIFB/13.DT)
Computer Science (IFIFB/12.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/12.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/11.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/10.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/09.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/08.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/00.DT)
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