Notes, exercises

SageMath introduction

SageMath introduction (exercises)

Divisors, prime numbers

Divisors, prime numbers (exercises)

Greatest common divisor

Greatest common divisor (exercises)

Modular arithmetic

Modular arithmetic (exercises)

Discrete logarithm

Discrete logarithm (exercises)

Euler's totient and RSA

Euler's totient and RSA (exercises)

Polynomials

Polynomials (exercises)

Algebraic structures

Algebraic structures (exercises)

Applications of polynomials

Applications of polynomials (exercises)

Classes

1. (12 Sep) – SageMath introduction (parts 1 and 3) – exercises: ~1-5

2. (19 Sep) – quiz – SageMath introduction (part 2: Python) – exercises: 11/c,d, 16, 17/a-e, 18/a,b, 23

3. (26 Sep) – quiz – Divisors, prime numbers – exercises: 4,8,9,10,11,12

4. (3 Oct) – quiz – Greatest common divisor – exercises: 2/b, 5, 6

5. (10 Oct) – quiz – Modular arithmetic – exercises: 1, 2, 3

6. (17 Oct) – quiz – Discrete logarithm – exercises: 1, 2, 4/a, 5, 6

7. (24 Oct) – quiz – Euler's totient and RSA (parts 1-3) – exercises: 1, 2, 3/some, 4

31 Oct – holiday

8. (7 Nov) – Midterm Test (8:20-): from classes 1-6

9. (14 Nov) – quiz – Euler's totient and RSA (parts 4-5) – exercises: 5, 6, 8, 9, 10

10. (21 Nov) – quiz – Polynomials – exercises: 1, 6, 7, 8, 9

11. (28 Nov) – quiz – Algebraic structures – exercises: 1/a-e, 2, 3

12. (5 Dec) – quiz – Applications of polynomials – exercises: 1, 2, 3

13. (12 Dec) – Endterm Test (8:20-): from classes 7-12

Retake Test: 19 Dec, 8:30-10:00+ (S 2-520)

Retake Quiz: 19 Dec, 10:15-10:30 (S 2-520)

Requirements

• Two tests (midterm + endterm):
  • computer exercises like in the classes;
  • on the classes (see dates above);
  • allowed: Sage, lecture notes, your notes, your class work, Sage website;
  • not allowed: other internet, other person, artificial intelligence;
  • 40 points each;
  • grade limits (from 2 to 5): 16-22-28-34;
  • requirement: both tests pass (≥ 16 points);
  • you can retake one → it overrides the original.
• 10 quizzes (aka. short tests):
  • ~5 minutes each, in the beginning of most classes (see dates above);
  • simple short question from the last class's lecture part;
  • accessible from this website after login (on the class);
  • no help or equipment is allowed;
  • 2 points each, 20 points in total;
  • requirement: ≥ 8 points;
  • if you miss one → 0 points;
• Final grade:
  • 100 points in total: 40 (midterm) + 40 (endterm) + 20 (quizzes);
  • grade limits (from 2 to 5): 40-55-70-85;
  • if any great test fails (after retake) → your grade is 1;
  • if the quizzes fail (< 8 p) → your grade is 1.
• Attendance is compulsory:
  • you can miss ≤ 3 classes;
  • there is also "half-absence" (0.5 missed class).