Covering essential mathematical concepts that form the backbone of many advanced algorithms.
Implementing and understanding the Euclidean algorithm for GCD and its relation to LCM.
Exploring primality tests and efficient prime generation using sieves like the Sieve of Eratosthenes.
Understanding operations (addition, multiplication, inverse) in a modular system.
Learning the binary exponentiation (exponentiation by squaring) method for efficient power calculation.
Understanding permutations, combinations, and solving counting problems.
Applying basic probability theory to analyze randomized algorithms and solve related problems.