Mathematical Modeling Courses and Certifications

The Statue in the Stone: How Dynamical Systems Discover Environmental Patterns

Explores how complex systems adapt to environmental patterns, favoring stable configurations that match external forces. Illustrates with toy models and swarm-robotics experiment.

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

Phylodynamics and Genealogy-Valued Markov Processes

Explore a novel approach to phylodynamics that views pathogen genealogy as a Markov process, enabling more accurate likelihood function construction for genetic data analysis.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

The Swine Flu and You: Predicting and Controlling the H1N1 Pandemic

Explore the H1N1 pandemic: its impact, control strategies, and mathematical modeling for prediction and prevention. Learn about public health responses and the science behind epidemic management.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Using Networks to Make Predictions

Explore how network science aids in predicting outcomes, from flu vaccine efficacy to citation patterns, using mathematical models and computer simulations for informed decision-making.

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

A Framework for Machine Learning of Model Error in Dynamical Systems

Explore a framework for machine learning to model error in dynamical systems, focusing on linear oscillators, partial information, and hybrid modeling techniques.

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

Transient Dynamics - The Key to Ecological Understanding - Alan Hastings, SFI + UC Davis

Explore transient dynamics in ecology, challenging classical theory focused on long-term behavior. Examine implications for modeling, management, and understanding complex ecological systems.

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

Environment X Everything Interactions - From Evolution to Epidemics and Beyond

Explore environment-actor interactions across various fields, from evolution to epidemics, using mathematical frameworks and simulations to understand complex systems and their impacts.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Sidney Redner on Statistics and Everyday Life

Explore everyday phenomena through statistical analysis, revealing hidden patterns in parking, elevators, and sports. Learn how complex systems research uncovers universal principles in daily life.

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

Collective Behavior of Honeybees & Fireflies

Explore collective behavior in honeybees and fireflies, revealing how diversity and self-organization lead to emergent intelligence and adaptive swarm dynamics in insect communities.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Fluctuations in Complex Network-coupled Oscillators

Explore the dynamics of network-coupled oscillators, examining fluctuations and their impact on complex systems behavior and stability.

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

Evolution of Multicellularity in the Ancestors of Animals - Hydrodynamic Performance and Selective Factors

Explore how choanoflagellates provide insights into the evolution of multicellularity in animal ancestors, examining hydrodynamic performance and selective factors affecting colony formation and survival.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

The Dynamics of Computation and the Computational Power of Dynamics

Explore the intersection of computation and dynamics, examining computational models, physical systems, and mathematical concepts to understand the nature of computation and its manifestation in various forms.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Community Detection and Data Topology in Network Science

Exploring network science and mathematical approaches to uncover hidden structures in complex data. Discusses community detection, data topology, and applications in social networks and opinion dynamics.

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

On the Shape of Epidemics

Explore the patterns and dynamics of epidemic spread, examining factors that influence their shape and progression through populations.

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

Models of Identity Signaling

Explore mathematical models of identity signaling, examining their impact on cooperation, conflict, and social learning in complex human behavior and communication strategies.

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