Overview
Syllabus
The Legendary n^2+n+41 (why do we need math proofs?).
An Easy Putnam Exam Problem!.
Proving sqrt(2) is irrational by using the rational zero theorem.
Sqrt(2) is irrational! (Classic Proof).
Why do you rationalize the denominator? (here's my reason).
That Time Euler Was Wrong.
You, me, and my first IMO problem.
A Repeating Decimal Equation.
A Strong Induction Proof.
There are infinitely many primes (Euclid's proof).
Fibonacci Sequence (with a twist).
You, Me and The Legend of Question 6.
A "Can This Be Prime" Putnam Exam Problem.
Prime factor 1002004008016032.
The Harmonic Number Is Never An Integer When n Is BIGGER Than 1.
What does a ≡ b (mod n) mean? Basic Modular Arithmetic, Congruence.
Solving congruences, 3 introductory examples.
System of congruences, modular arithmetic.
When can we divide in a congruence?.
45^2+45+41 is NOT prime?.
Integral Calculus Marathon Livestream.
solving a quadratic congruence but the modulus is NOT prime.
Taught by
blackpenredpen
Reviews
5.0 rating, based on 1 Class Central review
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This course was interesting, wonderful and very useful. I hope to succeed and thank you for these useful free courses. I am a 13-year-old student. I love mathematics and I am very smart in it.