المستوى الخامس Level 5 Math and number theory & Computational Geometry & Combinatorics
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طلاب مسجلين:3
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التسجيل الآن مؤقتا
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المستوىمتوسط
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مجموع المسجلين3
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آخر تحديثيونيو 6, 2026
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شهادةشهادة الإنجاز
أهلاً بك مرة أخرى!
وصف الكورس:
مرتبط
محتوي الدورة
1 – Math and number theory introduction
1.1 – Primes and Factors
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Lesson 1 : Factors and Factorization – Explanation With Code
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Lesson 2 : prime factorization – Explanation with Code
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Lesson 3 : The number of factors of a number n – Explanation With Code
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Lesson 4 : The sum of factors of n – Explanation With Code
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Lesson 5 : The product of factors of n – Explanation With Code
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Lesson 6 : a perfect number
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Lesson 7 : Number of primes
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Lesson 8 : Density of primes
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Lesson 9 : Check if a number is prime using sqrt – Explanation with Code
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Lesson 10 : Check if a number is prime using Factors – Explanation with Code
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Problem 1 : CF 122A – Lucky Division
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Problem 2 : CF 762A – k-th divisor
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Problem 3: CF 1445C – Division
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Problem 4 : CF 27E – Number With Given Divisors
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Problem 5 : CF 1247D – Power Products
1.2 – The Sieve of Eratosthenes
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Lesson 11 : The Sieve of Eratosthenes – Checking if Numbers are Prime
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Lesson 12 : Segmented Sieve of Eratosthenes – Checking if Numbers are Prime
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Lesson 13 : Linear Sieve of Eratosthenes – Checking if Numbers are Prime
1.3 – Euclidean algorithm
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Lesson 14 : Euclidean algorithm algorithm The greatest common divisor
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Lesson 15 : Euclidean algorithm algorithm The least common multiple
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Lesson 16 : Extended Euclidean algorithm
1.4 – Euler’s totient function
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Lesson 17 : Euler’s totient function
1.5 – Modular Arithmetic
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Lesson 18 : Modular Arithmetic Explanation With Code
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Lesson 19 : Modular exponentiation – ( Fast Power ) Explanation With Code
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Lesson 20 : Modular Multiplicative inverse
1.6 – Conjectures
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Lesson 21 : Goldbach’s conjecture
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Lesson 22 : Twin prime conjecture
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Lesson 23 : Legendre’s conjecture
1.7 – Primality tests
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Lesson 24 : Fermat Primality testing
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Lesson 25 : Miller Rabin Primality testing
1.8 – Solving equations
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Lesson 26 : Diophantine equations
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Lesson 27 : Chinese remainder theorem
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Lesson 28 : Lagrange’s theorem
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Lesson 29 : Zeckendorf ’s theorem
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Lesson 30 : Pythagorean triples
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Lesson 31 : Wilson’s theorem
2 – Matrices
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Lesson 1 : matrix and vector
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Lesson 2 : matrix Transpose
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Lesson 3 : square matrix
2.1 – Matrix Operations
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Lesson 4 : Matrix multiplication – identity matrix
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Lesson 5 : Matrix power
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Lesson 6 : Determinant
2.2 – Linear recurrences
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Lesson 7 : linear recurrence
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Lesson 8 : Fibonacci numbers
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Lesson 9 : General case
3 – Probability
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Lesson 1 : Probability Calculation
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Lesson 2 : Probability using sample spaces
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Lesson 2 : Events
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Lesson 2 : complement
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Lesson 5 : union
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Lesson 6 : intersection
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Lesson 7 : Conditional probability
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Lesson 8 : Random variables
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Lesson 9 : Expected value
3.1- Distributions
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Lesson 10 : Distributions
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Lesson 11 : uniform distribution
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Lesson 12 : binomial distribution
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Lesson 13 : geometric distribution
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