Classes

1. (12 Sep) – SageMath introduction – exercises: 2/a-e; 3/a,b; 5; (3/c,d; 4)

2. (19 Sep) – Divisors, prime numbers – exercises: M: 2,3,5,6 – P: 13, 16, 17, 18, (14, 19)

3. (26 Sep) – Greatest common divisor – exercises: M: 1,3,6,7,8 – P: 11/b,c; 15; 16/a,b; (11/a+test; 12; 16/c)

4. (3 Oct) – Congruences – exercises: M: 1,2,5,6,7,8 – P: 10, 11, 13, (12)

5. (10 Oct) – Discrete logarithm – exercises: M: 3,4,6,7,8,9 – P: 10/c, 12, 13/a, 14, (10/a,b, 11, 15)

6. (17 Oct) – Euler's totient and RSA – exercises: M: 2,3,4,5,6 – P: 8, 10, (7, 9)

24 Oct – holiday

31 Oct – holiday

7. (7 Nov) – Midterm Test (classes 1-5) – sample test: paper part + programming part

8. (14 Nov) – Basics of polynomials – exercises: M: 1,5,8 – P: 9, 12, 13, (11, 14)

9. (21 Nov) – Algebraic structures – exercises: M: 1,2,3,4 – P: 8, 9, 10, (12)

10. (28 Nov) – Polynomial division – exercises: M: 2,3,4,5,6/a,b – P: 11/a-d; 12/a-c; 13; (11/e; 15)

11. (5 Dec) – Finite fields – exercises: M: 1,3,4,5,6 – P: 7; 8; 9/a,b; (9/c,d)

12. (12 Dec) – Endterm Test (classes 6,8-11) – sample test: paper part + programming part

Retake Test: 19 Dec, 10:15 (S 2-315)

Requirements

• Two tests (midterm + endterm):
  • 90 minutes each (on the classes, see the dates above).
  • 50 points each.
  • Paper part (20 points):
    • mathematical questions from the lecture part of the classes;
    • from the topics of the M-questions above (but not exactly the same questions);
    • only pen is allowed.
  • Programming part (30 points):
    • computer exercises like in the classes;
    • from the topics of the P-exercises above (but not exactly the same exercises);
    • allowed: Sage, lecture notes, your notes, your class work, Sage website;
    • not allowed: other internet, other person, artificial intelligence;
  • The programming part can be started after handing in the paper part.
  • Requirement: both parts of both tests are ≥ 40% (paper: ≥ 8/20p, prog.: ≥ 12/30p).
  • Grade limits per test: 43- (5), 35- (4), 28- (3), 20- (2).
  • You can retake one test → it overrides the original.
• Final grade:
  • Total points: 100 points = 50 (midterm) + 50 (endterm).
  • Grade limits: 85- (5), 70- (4), 55- (3), 40- (2)
  • But if any part of any test (after retake) is < 40% → your grade is 1.
• Attendance is compulsory:
  • You can miss ≤ 3,5 classes.
  • Absence is fractional, e.g. being late 35 minutes is ≈ 0,4 abs., and being absent for 5 minutes is ≈ 0,1 abs.
• Lecture notes:
  • Each class has lecture notes in PDF, and corresponding exercises, see the calendar above.
  • They are much more detailed than what you need to know.
  • You only need to know what we learnt on the classes (indicated in the calender above).