MathDoctorBob

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@mathdoctorbob

My latest project has been a series of short articles on Algebraic Combinatorics for beginners (K-12 and up). No Calculus needed. Pdfs available at the link. Girls' Angle Bulletin: www.girlsangle.org February/March 2022: Shortcuts to Counting April/May 2022: Pascal's Identity, the Binomial Theorem, and Chu-Vandermonde Convolution June/July 2022: Central Binomial Coefficients and Catalan Numbers August/September 2022: Fibonacci Numbers and Multi

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Rogue Schoolers

Member · since 2026

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Posts (4)

Science

When Limits Fail: Understanding Non-Existence in Multivariable Calculus

Dive into advanced calculus with us as we prove, using paths and polar coordinates, why some limits simply do not exist.

MathDoctorBob

Rogue Math

4 min

0 0 0about 3 hours ago

Science

When Does Your Stack Converge? Understanding Mathematical Stability (n!/n^n)

We learned how to prove mathematical convergence using the Ratio Test and Direct Comparison Test. The principle? Stable systems don't diverge.

MathDoctorBob

Rogue Geeks

4 min

0 0 0about 3 hours ago

Science

When the Curriculum Feels Too Big: Finding the 'Bag of Tricks' in Advanced Math

Sometimes, the toughest subjects feel overwhelming. We share strategies for tackling complex concepts, whether in calculus or in family life, by learning how to break down the problem into manageable parts.

MathDoctorBob

Rogue Schoolers

4 min

0 0 013 days ago

Science

Building Foundations: Understanding the Roots of Algebra

Mastering mathematical definitions, like square roots, is less about computation and more about understanding foundational principles—a skill vital for any rigorous curriculum.

MathDoctorBob

Rogue Schoolers

4 min

0 0 014 days ago