Publications & Expository Writings
Quality of Math Problems and their Impact on Student Behavior and Attitude Towards Math - (WTAMU Thesis)
Introductive Guide to Competitive Calculus
Homer's False Counterexample in Fermat's Last Theorem Disproved with Fermat's Little Theorem
Integrating with Inverses of Integral Functions
Trig-Substitution in Differentiation
The Sneakiest Ugly Integral Trick - Crux Mathematicorum
Game Changing Glasser's Master Theorem - w/ Vishal Gupta
Curiously Integrating the Quadratic Formula
University of Florida Integration Bee 2024 Solutions
UC Berkeley Integration Bee 2024 QUAL Solutions
UC Berkeley Integration Bee 2024 Bracket Round SolutionsÂ
Problem 2186 Solution Proposal, Mathematical Magazine Preprint
Integration Bee Topics Guide for Problem Writers
Future Expository Papers/Handouts and Projects
Plannings / Work in Progress:
The Art of Speed Integrating
Linear Algebra Translator Book
An Integral Inside of an Integral
Some Satisfying Raabe's Integrals
The Coolest, the Craziest, and the Cruelest King's Rule
Solving for the "Coefficient" of the Equation
Norwegian Substitution
A Breakdown of Ahmed's Integral
Pffff...Who Needs Them Triangles!!
Enough with the Ultraviolet Voodoo!!
Some Beautiful Forms of Gaussian Integrals
Math Strategies to Survive Punishing Minigames from Murder Trivia Party
Conditioning Math Students to Enjoy Mathematical Proofs
Using Murder Trivia Party to Gamify the Class
The Idea of Roleplaying to Practice Application Problems
Academic Words vs Funny/Outrageous Words: How Much Can You Memorize?
Amazing List of Topics for Beginner Undergraduates to Perform and Practice Mathematical Research!
Legendary Integrals
Surviving HMMT Integration Bee
Most Unintuitive Inhumane Integration Bee Tricks
Most Evil and Cruel Integrals Towards Competitors
Easy yet Evil Integrals to Tease Mathematicians
Evil Ways to Give an Integral (to Students, Teachers, or Mathletes)
Important Integrals to KNOW to ACE Integration Bee Qualifying Exams
Integrals Small yet Deadly!!
Calculus Not Taught in Class, but Must Know for Calculus Competitions
Topics in Competitive Calculus
Tricks and Proof Techniques for Introductory Real Analysis
U-Sub Like a Ninja!
The Art of Piecewise Integrals
Dodging Partial Fractions
Handling Floor Function Integrals that Double Sums!!
Full Angle Weierstrass Substitution: sin(arctan(x))
Integrals that Revolutionized Integration Bee + My Personal Additions
Summoning the Laplace Demon!!
Ahmed and Coxeter Substitution
Fiborithm
Tetramod
Jailbreaking Out of the Inverse: The Beauty of the Sum of Inverses Integral Trick
Catalan's Constant Integrals
The Connecting Integration of Einstein Functions
Messing Around with LambertW Integrals
Algebraic Manipulations with LambertW Functions
Constructing Monster Integrals
Satisfying Special Functions Integrated with Taylor Series
Coolest Ways to Solve for x
Power Round Mock Practice for Beginners
Competitive Math Topics Every Math Teacher Should Know
Modular Arithmetic Techniques
Estimating Definite Integrals
Simple Tasks yet Olympiad Level Math Problems
Special Topics for Future Projects/Handouts for Students:
Carotid Kundalini Function
Glasser Function
Fibonacci Hyperbolic Functions
Mittag-Leffler Function
Owen T-Function
E_n and Ein Function
Tetration
Bilateral Laplace Transform
Abel's Integral
Ahmed's Integral
Ramanujans Integral Formula
Binet's Log Gamma Formulas
Borwein Integrals
Apery's Constant
Glashier-Kinkelin Constant
Erdos-Borwein Constant
du Bois-Reymond Constants
Khinchins Constant
Hh Function
Ramanujans Master Theorem
Sievert's Integral
Vardi's Integral
Dirichlet Lambda Function
Ramanujans Interpolation Formula
Bell Polynomials
Bessel Function of the First Kind/Second Kind
Hansen-Bessel Formula
Jinc Function
Beurlings Function
Rogers L-function
Kapteyn Series
Mehlers Bessel Function Formula
Bessel Function Neumann Series
Modified Bessel Functions
Sommerfelds Formula
Lommels Integral
Entire Functions in General
Airy Functions
Anger Functions
Catalan Integrals
Parseval's Integral
Struve Function & Modified Struve Function
Weber Functions
Sophomore's Dream
Omega Constant
Complete Elliptic Integrals
Dixon's Elliptic Integral
Clausen's Integral
Lobachevsky Function
Laplace's Integral (Legendre Polynomials)
Laplace-Mehler Integral
Hadjicostas Formula
Bailey-Borwein-Plouffe Formulas (Series)
Dirichlet Kernel
Fejer Kernel & Fejer Theorem
Foxtrot Series
Gregory Series
Millin Series
Lebesgue Constants
Xi-Function