Problem of the Week 5-30-19: A Triplet of Integers [Algebra]

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Advanced Knowledge Problem of the Week 5-28-19: A Modified Derivative [Real Analysis]

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Problem of the Week 5-23-19: Looking for Integer Solutions [Number Theory]

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Advanced Knowledge Problem of the Week 5-21-19: Rank of a Matrix [Linear Algebra]

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Problem of the Week 5-16-19: Sums of Squares and 7 [Number Theory]

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Advanced Knowledge Problem of the Week 5-14-19: A Null Product of Matrices [Linear Algebra]

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Problem of the Week 5-9-19: Simplifying a Square Root [Algebra]

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Advanced Knowledge Problem of the Week 5-7-19: Subgroups of a Cyclic Group [Group Theory]

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Problem of the Week 5-2-19: Finding the Coefficient of a Term [Algebra]

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New Video Series on Field Theory

      

This series describes some basic field theory. We go over some basic definitions of what fields are, basic properties of polynomials over fields and polynomials over integers, extensions of fields, finite fields and some of their properties, and ruler and compass constructions.