Lectures related to Basic Properties

Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.

Covers the properties of subtraction and the distributivity of multiplication.

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

Covers the advanced counting topic of distinct n-duples of integers.

Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.

Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Covers bitwise operators for integers and representing colors using 32-bit integers.