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Thursday, June 28, 2018

Advanced Knowledge Problem of the Week 6-28-18: Conjugates of a Subgroup [Group Theory]

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Solution below.

Tuesday, June 26, 2018

Problem of the Week 6-26-18: Integers and Quartics [Number Theory]

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Solution below.

Thursday, June 21, 2018

Ramanujan's Sum Identity

A fascinating result due to Ramanujan!


Advanced Knowledge Problem of the Week 6-21-18: A Problem involving Connected Sets [Topology]

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Solution below.

Tuesday, June 19, 2018

Problem of the Week 6-19-18: A Polynomial Inequality [Inequalities]

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Solution below.

Thursday, June 14, 2018

Tuesday, June 12, 2018

New Video Series on Integration Tricks

Integration is a vast topic with many diverse techniques meant to help find the integrals of functions. Many delightful and elegant methods are used to tackle difficult integrals. This video series talks about a few of the less common, but still very useful, techniques. These videos cover topics such as the tangent half-angle substitution, integration with a parameter, and how symmetry in integrals can be useful. 


Problem of the Week 6-12-18: Making Polynomials Prime [Number Theory]

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Solution below.

Thursday, June 7, 2018

Advanced Knowledge Problem of the Week 6-7-18: Order of an Element [Abstract Algebra]

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Solution below.

Tuesday, June 5, 2018

Problem of the Week 6-5-18: A Composite Polynomial [Number Theory]

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Solution below.