Pascal's Triangle Courses and Certifications

Hausdorff Center for Mathematics

Terence Tao: Singmaster's Conjecture in the Interior of Pascal's Triangle

Explore Singmaster's conjecture in Pascal's triangle, combining Archimedean and non-Archimedean arguments to establish the conjecture in the triangle's interior region.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Precalculus 4: Exponentials and logarithms

76 ratings at Udemy

The Algebra 2 topics of exponential, logarithmic, and power functions, preparing for studies of Calculus

• Udemy
• 2 days 2 hours 9 minutes
• On-Demand
• Paid Course

Math at Andrews;  Andrews University

Discrete Math

Explore fascinating mathematical concepts like knots, cyphers, and encryption through engaging topics such as magic squares, Pascal's triangle, and Eulerian paths.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Explore counting theory, Pascal's Triangle, and the pigeonhole principle. Apply Python sets to solve counting problems and understand their relevance in computer science.

• Codecademy
• 1 hour
• On-Demand
• Free Trial Available

Eddie Woo

Binomial Theorem

Explore proofs and applications of the Binomial Theorem, from basic algebra to probability. Discover connections to Pascal's Triangle and learn to solve complex polynomial problems.

• YouTube
• 8 hours
• On-Demand
• Free Video

Mathologer

Secret of Row 10 - A New Visual Key to Ancient Pascalian Puzzles

Explore hidden patterns in Pascal's triangle and snail shells through a visual key, featuring Sierpinski's triangle and modular arithmetic in this fascinating mathematical journey.

• YouTube
• 30 minutes
• On-Demand
• Free Video

The Organic Chemistry Tutor

Spin Spin Splitting - N+1 Rule - Multiplicity - Proton NMR Spectroscopy

Comprehensive introduction to spin-spin splitting in proton NMR spectroscopy, covering N+1 rule, multiplicity, signal intensity ratios, and complex splitting patterns using practical examples.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Mathologer

Why Don't They Teach Newton's Calculus of What Comes Next?

Explore discrete calculus, Newton-Gregory interpolation, and sequence analysis. Uncover connections to Fibonacci, Pascal's triangle, and Maclaurin series in this alternate mathematical reality.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Mathologer

The Moessner Miracle - Why Wasn't This Discovered for Over 2000 Years?

Explore the fascinating Moessner Miracle, a mathematical gem discovered 70 years ago. Learn proofs, amazing facts, and connections to other mathematical concepts in this accessible and engaging presentation.

• YouTube
• 26 minutes
• On-Demand
• Free Video

The Julia Programming Language

Random Walks II - Lecture 13

Explore random walks, Pascal's triangle, and probability distributions using Julia programming. Learn to implement time evolution of probabilities and understand cumulative sums in computational thinking.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Brian McLogan

Polynomials

Comprehensive guide to polynomials covering characteristics, binomial expansion, real, irrational, and complex zeros. Includes practical examples and step-by-step solutions for various polynomial-related problems.

• YouTube
• 5 hours 15 minutes
• On-Demand
• Free Video

Simple Snippets

Pascal's Triangle Pattern Printing with C++ Code

Learn to code Pascal's Triangle pattern in C++, including concept explanation, step-by-step dry run, and implementation. Enhance your programming skills with this fundamental algorithm.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Mathematics in Nature - Exploring Fibonacci and the Golden Ratio

Explore the fascinating connections between mathematical sequences and nature, art, and architecture, revealing how mathematics shapes our perception of beauty and the world around us.

• YouTube
• 18 minutes
• On-Demand
• Free Video

Excellence Academy

Complex Numbers: Definition, Addition, Subtraction, Multiplication, and Division

Learn to define, add, subtract, multiply, and divide complex numbers with clear examples and explanations of complex number algebra.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Numberphile

The Freshman's Dream - A Classic Mathematical Mistake

Explore the intriguing mathematical concept of the Freshman's Dream, a common algebraic mistake that sometimes holds true, in this engaging Numberphile video featuring Kevin Tucker.

• YouTube
• 20 minutes
• On-Demand
• Free Video