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Algebra 1 (NMAI062) - winter semester 2025-26

Lectures: Tuesday 09:00-10:30 at S9 by myself

Seminars in Czech: Tuesday 10:40-12:10 at S7 by Ondřej Chwiedziuk

Seminars in English: Tuesday 14:00-15:30 at S6 by Yağmur Sak

Lecture notes: czech, english

Evaluation: There will be weekly homeworks. Each homework will consist of one question. If you solve it correctly, you complete the homework. To obtain the credit (Zápočet) for the course you need to complete (strictly) greater than 50% of the homeworks. The final grade will be determined by a written exam, admission to the exam requires getting ''Zápočet'' first.

Overview

Date Topics Czech English
30/09 Primes, Euclid's algorithm, Fundamental theorem of arithmetic, Congruences cvičeni+dú tutorial homework
07/10 Euler's function, Euler's theorem, RSA cryptosystem, Chinese remainder theorem cvičeni+dú tutorial homework
14/10 Rings, Integral domains, Fields, Quotient fields cvičeni+dú tutorial homework
21/10 Polynomial rings, Division of polynomials, Roots cvičeni+dú tutorial homework
04/11 Irreducible elements, Unique factorization domains cvičeni+dú tutorial homework
11/11 Primitive polynomials, Gauss lemma cvičeni+dú
18/11
25/11
02/12
09/12
16/12
06/01