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Tuesday, April 30, 2019

Advanced Knowledge Problem of the Week 4-30-19: Primitive Root and -1 [Number Theory]

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Solution below.

Thursday, April 25, 2019

Problem of the Week 4-25-19: Divisors of a Power of 10 [Number Theory]

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Solution below.

Tuesday, April 23, 2019

Advanced Knowledge Problem of the Week 4-23-19: Solutions of Linear Polynomials [Number Theory]

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Solution below.

Thursday, April 18, 2019

Problem of the Week 4-18-19: Find the Real Solution [Algebra]

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Solution below.

Tuesday, April 16, 2019

Advanced Knowledge Problem of the Week 4-16-19: A Strange Function [Real Analysis]

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Solution below.

Thursday, April 11, 2019

Problem of the Week 4-11-19: Complex Roots of a Quartic [Algebra]

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Solution below.

Tuesday, April 9, 2019

Advanced Knowledge Problem of the Week 4-9-19: Maximizing an Integral [Calculus]

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Solution below.

Friday, April 5, 2019

New Video Series on Topology

Image result for klein bottle


      


This series describes some basic topology. We go over some basic definitions of what metric spaces and topological spaces are, basics properties of continuity of functions and the interior, exterior, and boundary of sets. We also talk about compactness and connectedness of sets, as well as quotients of sets and separability properties of sets.

Thursday, April 4, 2019

Problem of the Week 4-4-19: An Algebraic Equation [Algebra]

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Solution below.

Tuesday, April 2, 2019