Generating Functions Courses and Certifications

Michael Penn

Generating Functions - Number Theory

Explore generating functions in number theory, learning their applications and techniques for solving complex mathematical problems.

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

ACM SIGPLAN

Guaranteed Bounds for Discrete Probabilistic Programs with Loops via Generating Functions - LAFI'24

Explore a technique for finding guaranteed bounds on posterior distributions in probabilistic programs with loops using probability generating functions and inductive invariants.

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

Analytic Combinatorics

72 ratings at Coursera

Explore precise quantitative predictions of large combinatorial structures through symbolic methods, generating functions, and complex analysis for deriving accurate asymptotics.

• Coursera
• 17 hours
• On-Demand
• Paid Course

Mathematical (Actuarial) Statistics:(Exam P/CT3/CS1)

398 ratings at Udemy

Master statistical concepts from probability theory to Bayesian analysis, covering key topics like hypothesis testing, regression, and sampling - ideal for actuarial exams and data analysis applications.

• Udemy
• 13 hours 46 minutes
• On-Demand
• Paid Course

Principles of Discrete Applied Mathematics

Master discrete mathematics through counting, probability, optimization, coding theory, and algebraic structures with hands-on problem-solving and communication skills development.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

3Blue1Brown

Olympiad Level Counting - How Many Subsets of {1,…,2000} Have a Sum Divisible by 5?

Explore advanced counting techniques using generating functions and complex numbers to solve a challenging subset sum problem, with applications to Olympiad-level mathematics.

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

Michael Penn

Lah Numbers and an Appearance of Exponential Generating Functions

Explore Lah Numbers and their connection to exponential generating functions through mathematical analysis and problem-solving techniques.

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

Combinatorics and Algorithms Design

Master combinatorial mathematics and algorithm design principles through advanced counting techniques, generating functions, recurrence relations, and problem-solving strategies.

• XuetangX
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Cut Generating Functions

Explore cut generating functions in mixed integer programming, focusing on subadditive functions, their properties, and applications in deriving cutting planes. New results and open questions discussed.

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

Hausdorff Center for Mathematics

A Quantification of the Fourth Moment Theorem for Cyclotomic Generating Functions

Quantitative normal approximation for random variables with real or cyclotomic polynomial generating functions, using Stein-Tikhomirov method. Unified approach for both cases.

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

Professor Knudson

Moment Generating Functions

1 review

Explore moment generating functions in-depth with Professor Knudson's comprehensive 8-part video series, covering theory and applications in probability and statistics.

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

IIT Delhi;  NPTEL

Advanced Probability Theory

Explore probability theory, from axioms to distributions, generating functions, and limit theorems. Develop skills in analyzing random variables and their properties for advanced statistical applications.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

NPTEL;  Institute of Mathematical Sciences

Algebraic Combinatorics

Explore advanced combinatorics: Möbius inversion, combinatorial classes, LGV lemma, and symmetric functions. Ideal for graduate-level mathematics and computer science students.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

NPTEL;  IIT Bombay

Modeling Stochastic phenomena for Engineering applications: Part-1

Explore stochastic processes in engineering, from random walks to Brownian motion. Learn to model and analyze probabilistic systems, with applications in various fields including chemical reactions, eco-dynamics, and market fluctuations.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

statisticsmatt

Characteristic, Moment Generating, Factorial Generating Functions

Explore generating functions in probability theory, including characteristic, moment, and factorial, with applications to various distributions and statistical problems.

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