New Video Series on Unusual Properties in Math

     

This series gives examples of some of the unusual things that can happen in math. Some examples are an infinite field that cannot be ordered, a bounded function having no relative extrema, a function only continuous at irrational points, and a sequence of functions with derivatives that diverge everywhere.

Problem of the Week 6-27-19: A Pair of Equations [Algebra]

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Advanced Knowledge Problem of the Week 6-25-19: Fixed Point of a Group Action [Group Theory]

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Problem of the Week 6-20-19: Floor Functions and Exponents [Algebra]

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Advanced Knowledge Problem of the Week 6-18-19: Powers of an Element in a Subgroup [Group Theory]

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Problem of the Week 6-13-19: An Equation with Absolute Values [Algebra]

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Advanced Knowledge Problem of the Week 6-11-19: A Matrix with Given Trace and Determinant [Linear Algebra]

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Problem of the Week 6-6-19: Products and Powers of 2 [Algebra]

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New Video Series on Real Analysis

     

This series describes some basic real analysis. We go over some basic properties of sequences, basic facts about continuous functions and sequences of functions, as well as some of the basics of differentiation, partial differentiation, and Riemann integration.

Advanced Knowledge Problem of the Week 6-4-19: Closed Subset of a Complete Metric Space [Topology]

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