Introduction to Algebra 1, Fall semester 2023


The lectures will be held on Mondays 14.10-15.50 and Thursday 10.05-11.45 in room H601, the problem solving classes will be on Tuesdays 15.15-17 and Thursdays 14.15-16 in room T604.


General info and useful links


Midterms:

There will be 2 midterms:

  1. On the 17th of October, from 15.00 in room T604 (at the practice class). The retake midterm will be on the 8th of November, from 14.00.
  2. On the 22th of November, from 15.00 in room T604 (at the practice class).

Here you find a sample test for Midterm 1 and here one for Midterm 2.


Home works:

You can find the home works on EduBase (registration needed), you can join the group of the course via this link. Each home work is due to the next Thursday at the beginning of the morning lecture.



Exams:

There will be three exams on the 20th of December, 11th and 18th of January. You find the details on Neptun.

Here is a list of topics for the (optional) oral part and a sample test for the written part of the exam.


Problem sheets for the practice class:

#1 Number systems (04-07.09.2023.)

#2 Divisibility, greatest common divisor (11-14.09.2023.)

#3 Primes, unique factorization (18-21.09.2023.)

#4 Modular arithmetics and Euler's totient function (25-28.09.2023.)

#5 Complex numbers (02-05.10.2023.)

#6 Polynomials (09-12.10.2023.)

#7 Irreducibles and factorization in polynomial rings (19-26.10.2023.)

#8 Cyclotomic polynomials and polynomial interpolation (26-31.10.2023.)

#9 Systems of linear equations (02.11.2023.)

#10 Vectorspaces (06-09.11.2023.)

#11 Linear maps and matrices (13-23.11.2023.)

#12 Rank and inverse of matrices, determinants (27-30.11.2023.)

#13 Applications of the determinant (04-07.12.2023.)


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