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Explore modular arithmetic fundamentals in this 80-minute lecture from MIT's Mathematics for Computer Science course. Learn how modular arithmetic provides elegant solutions to everyday computational problems, such as determining whether a sum is even or odd, calculating what day of the week it will be after a given number of days, and understanding the underlying mathematical operations needed for such calculations. Discover the practical applications of modular arithmetic through examples like computing rem(100, 2) = 2 to determine that 100 days from Tuesday results in Thursday. Master the theoretical foundations and computational techniques that make modular arithmetic an essential tool in computer science and mathematics.
