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Putnam Competition.pdf

2018.pdf

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Summary

The 79th William Lowell Putnam Mathematical Competition features 12 problems, including:
A1: finding ordered pairs (a,b) of positive integers satisfying an equation,
A2: calculating the determinant of a matrix,
A3: determining the greatest possible value of a sum of cosines,
A4: showing that two group elements commute,
A5: proving the existence of a positive integer n and real number x such that a function's nth derivative is negative,
A6: showing that a quotient of triangle areas is rational,
B1: finding vectors in a set that can be partitioned into two sets of equal size and sum,
B2: proving that a polynomial has no roots in the closed unit disk,
B3: finding positive integers n that satisfy certain divisibility conditions,
B4: proving that a sequence is periodic if it reaches zero,
B5: proving that a function from R2 to R2 is one-to-one,
B6: proving an upper bound on the cardinality of a set of sequences.

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Description

The 79th William Lowell Putnam Mathematical Competition features 12 problems, including:
A1: finding ordered pairs (a,b) of positive integers satisfying an...

Technical Information

File Format: PDF
File Size: 82 KB
Pages: 1
Language: EN
Total Downloads: 137
Last Updated: 1 month ago

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