Binomial Coefficients Courses and Certifications

Michael Penn

On Means of Binomial Coefficients

Explore limits related to arithmetic and geometric means of binomial coefficients, with strategies for solving complex mathematical problems in this advanced mathematics lecture.

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

Combinatorics and Probability

869 ratings at Coursera

Explore combinatorics and probability through counting techniques, binomial coefficients, and random variables. Develop intuition for solving complex problems and apply knowledge to create a program for an intriguing dice game.

• Coursera
• 23 hours 5 minutes
• On-Demand
• Paid Course

Counting - Binomial Coefficients, Bijections, and Catalan Numbers - Lecture 4

Master binomial coefficients, bijections, and counting techniques while exploring how Catalan numbers connect Dyck paths, plane trees, and binary trees in discrete mathematics.

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

Sundeep Saradhi Kanthety

Binomial Theorem with Examples - Expansion, Coefficients, and Terms in Discrete Mathematics

Master the binomial theorem through clear explanations of expansion, coefficients, and terms with practical examples in discrete mathematics.

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

Sundeep Saradhi Kanthety

Finding Binomial Coefficients in Binomial Expansion with Example - Finding Term from Ending

Master the process of finding binomial coefficients in expansions, including techniques for identifying terms from the end, with practical examples in discrete mathematics.

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

Discrete Math for Computer Science - Counting & Probability

Master combinatorial counting and probability theory to analyze algorithms, model uncertainty, and solve complex computational problems with systematic mathematical precision.

• Coursera
• 14 hours 21 minutes
• On-Demand
• Paid Course

Combinatorics (University Level) : Counting Principles

111 ratings at Udemy

Counting for Data Science, GRE, DAT, GMAT, probability, and combinatorics!

• Udemy
• 5 hours 43 minutes
• On-Demand
• Paid Course

Discrete Mathematics Course for Beginners

2 reviews

Master combinatorics, number theory, and prime numbers with practical Python implementations. Explore permutations, modular arithmetic, and algorithms essential for computer science applications.

• freeCodeCamp
• 9 hours 6 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

Michael Penn

Mathematical Induction - Number Theory

Explore mathematical induction in number theory through examples, proofs, and practice problems. Learn to apply this powerful technique to prove statements about integers and sequences.

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

Wrath of Math

The Density of Prime Numbers - A Mathematical Proof

Delve into an elementary proof demonstrating how prime numbers become increasingly sparse, exploring key mathematical concepts like the Prime Number Theorem and density of primes through clear step-by-step analysis.

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

MindYourDecisions

Brain Busting Apple Interview Puzzle - Paths On Grid

Uncover the surprising mathematical pattern behind Apple's brain-busting interview puzzle about counting paths on a grid using both computational and elegant shortcut methods.

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

Center for Science of Information NSF STC

Combinatorics - Rule of Sum, Rule of Product, Permutations, and Combinations

Discover fundamental counting principles including permutations, combinations, binomial coefficients, and problem-solving techniques for discrete mathematical structures.

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

Counting Problems - Combinations and Pascal's Triangle Identity C(n, k) = C(n − 1, k) + C(n − 1, k − 1)

Explore combinatorics through Pascal's triangle and binomial coefficients, uncovering the mathematical beauty of counting arrangements and combinations in this engaging talk.

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

Insights into Mathematics

Calculus with Integral Polynumbers - Arithmetic and Geometry Math Foundations 70

Explore calculus with integral polynumbers, covering Pascal's Array, Taylor polynumbers, derivatives, and subderivatives. Learn alternative approaches to traditional calculus concepts and their applications.

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