Mathematical Modeling Courses and Certifications

Mathologer

How Water Solved the 1800-Year-Old Talmudic Bankruptcy Problem

Discover how ancient bankruptcy disputes were resolved using water physics principles and game theory, exploring a fascinating intersection of Talmudic wisdom and mathematical reasoning.

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

TabletClass Math

How to Solve Pool Draining Rate Problem - Algebra Word Problem

Learn how to solve algebra word problems involving rates and proportions through a practical example of calculating pool drainage time using mathematical reasoning.

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

Physics Videos by Eugene Khutoryansky

Exponential Decay - Understanding Growth and Rate of Change

Discover how exponential decay works as a mathematical model for describing rates of decrease, with clear visual explanations and practical applications.

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

Artem Kirsanov

Differential Equations: The Language of Change

Explore dynamical systems and differential equations through intuitive examples. Learn key concepts like state variables, phase portraits, and limit cycles to understand how systems change over time.

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

Dr Trefor Bazett

Optimal Block Stacking - Tower of Lire and Parabolic Methods

Explore optimal block stacking strategies, from spinal to parabolic configurations, analyzing asymptotic behavior and balancing forces in mathematical tower construction.

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

Instituto de Matemática Pura e Aplicada

Numerical Methods for Partial Differential Equations (2022)

Master advanced computational techniques for solving partial differential equations through rigorous mathematical analysis and practical implementation methods.

• YouTube
• 1 day 4 hours 26 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

CRM CAMP in Nonlinear Analysis - Computer-Assisted Methods of Proof

Explore computer-assisted proof methods for dynamical systems and nonlinear analysis through expert presentations on chaos, bifurcations, and rigorous numerical techniques.

• YouTube
• 2 days 10 hours 41 minutes
• On-Demand
• Free Video

Steve Brunton

PyDMD - A Python Package for Dynamic Mode Decomposition

Discover Dynamic Mode Decomposition with PyDMD package for data-driven modeling, system diagnostics, reconstructions, and predictions using Python on snapshot data.

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

Society for Industrial and Applied Mathematics

Essentials of Math Modeling - A Seven-Part Series Focused on Students Featuring MATLAB

Master mathematical modeling fundamentals through MATLAB programming, data analysis, disease spread models, probability, regression, and effective writing practices.

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

ICTP Mathematics

Summer School in Dynamics - Introductory and Advanced

Explore fundamental and advanced concepts in dynamical systems through circle maps, ergodic theory, and renormalization techniques with expert-led lectures and hands-on tutorials.

• YouTube
• 1 day 1 hour 23 minutes
• On-Demand
• Free Video

ICTP Mathematics

School and Conference on Dynamical Systems

Explore advanced dynamical systems theory through expert lectures on chaotic dynamics, conservative systems, ergodic theory, and geometric aspects from leading mathematicians.

• YouTube
• 2 days 9 hours 28 minutes
• On-Demand
• Free Video

ICTP Mathematics

School on Algebraic, Geometric and Probabilistic Aspects of Dynamical Systems and Control Theory

Explore algebraic, geometric and probabilistic aspects of dynamical systems through expert minicourses covering counting techniques, group actions, symbolic dynamics, and Brownian motion.

• YouTube
• 1 day 6 hours 1 minute
• On-Demand
• Free Video

ICTP Mathematics

Dynamical Systems

Explore mathematical systems that evolve over time through 20 comprehensive lectures covering fundamental theory, applications, and advanced concepts in dynamical systems.

• YouTube
• 1 day 4 hours 18 minutes
• On-Demand
• Free Video

Steve Brunton

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

Explore dynamical systems: fixed points, linearization, manifolds, bifurcations, and chaos. Gain insights into nonlinear dynamics and their applications in describing our changing world.

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

Steve Brunton

Koopman Spectral Analysis - Overview

Explore Koopman operator theory for dynamical systems, its recent resurgence, and applications like Dynamic Mode Decomposition in this comprehensive overview.

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