The binomial theorem in elementary algebra describes the expansion of powers of a binomial. The theorem allows for the polynomial (x + y)n to be expanded into a sum involving terms of the form axbyc, where b and c are nonnegative integers that add up to n, and a is a specific positive integer dependent on n and b. The coefficient a in each term is known as the binomial coefficient, which can be arranged to form Pascal's triangle and is used in combinatorics to determine the number of combinations of b elements from an n-element set.
Brown University
Spring 2023
CSCI 0220 provides a foundation in discrete math and probability theory. Key topics include logic, set theory, number theory, combinatorics, graph theory, and probability. No prior math background assumed. Aims to develop problem solving, communication, and collaboration skills. Introduces new concepts and ways of thinking to enable analyzing problems arising in computer science. Beginner-friendly introduction to core mathematical concepts underlying many aspects of CS.
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