Mohamed Omar
Our goal is to help prepare you to pursue math beyond the undergraduate level by exposing you to a wide range of tools, topics and techniques not typically covered in standard classes.
More about me at www.mohamedomar.org
Determinant of the Exponential of a Matrix
Solve f(7x+1)=49f(x) if f''(x) is continuous: IMC 2024 Problem 1 Day 1
A Strange Way To Find Eigenvalues: Primer to Circulant Matrices
A Rewarding Putnam Integral
How to Invert a Sequence Relationship
Group Homomorphisms: What Are They Really?
f(x+y)=f(x)+f(y) for rational x, and f is continuous. What must f be?
Graph Coloring!
Putnam 2023 A2
Planarity Inequalities
Planar Graphs & Euler's Formula
Trigonometric System of Equations
Recurrence Relation, Two-Term
Combinatorial Proofs
Math 55 Fall 2022: Oct 6 Class on Fundamentals of Counting
Convex: Local vs Global Minimum
Invariants and Monovariants
Vieta's Formula
Nonstandard Math Induction
Putnam Induction | A Nice Induction Problem from the Putnam Exam 2005 A1
An UNUSUAL Induction Technique | Two Variable Induction
Math Induction Trick RARELY taught in class!
SHOCKING surprise about Binomial Sums and a well-known sequence!
Big O Notation Finally Explained
International Mathematics Competition 2020 Day 2 Problem 1 | A Derivative Inequality
Функция Эйлера
Math with Tahoe!!
Contraction Mapping Theorem & Finding Fixed Points of Functions
How I Make Exams
Which Polynomials Satisfy This?