Society for Industrial and Applied Mathematics Courses

Math and Healthcare - Optimizing and Coordinating Healthcare Networks and Markets

Explore optimization models for efficient healthcare resource management and network coordination, featuring insights from MIT's Retsef Levi on industry challenges and opportunities.

• YouTube
• 24 minutes
• Self-Paced
• Conference Talk

Factorization-based Sparse Solvers and Preconditioners - Lecture 3

Explore factorization-based sparse solvers and preconditioners, covering topics like minimum degree ordering, numerical pivoting, and sparse Gaussian elimination techniques.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

Matrix Equations and Model Reduction - Lecture 5

Explore matrix equations and model reduction techniques, focusing on Riccati equations, linear matrix equations, and solution methods for sparse matrices in this advanced mathematics lecture.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video

Functions of Matrices - Lecture 5

Explore matrix functions with Nick Higham, covering algorithms, analysis, nonnormality bounds, and practical coding experiments for advanced mathematical understanding.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

Matrix Equations and Model Reduction - Lecture 4

Explore matrix equations and model reduction techniques, focusing on SR method, high multiplicity, and theoretical background with renowned expert Peter Benner.

• YouTube
• 1 hour 38 minutes
• Self-Paced
• Free Video

Matrix Equations and Model Reduction - Lecture 3

Explore matrix equations and model reduction techniques with Peter Benner, covering enrichment, polar residual form, transfer functions, and moment matching for efficient system analysis.

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video

Feedback Control of Hybrid Dynamical Systems

Explore mathematical framework for analyzing and controlling hybrid systems with continuous and impulsive dynamics. Learn tools for stability, invariance, and applications in genetics and power systems.

• YouTube
• 40 minutes
• Self-Paced
• Conference Talk

Hierarchical Interpolative Factorization

Explore efficient matrix factorization techniques for differential and integral operators, focusing on interpolative decomposition and its applications in various dimensions and problem types.

• YouTube
• 33 minutes
• Self-Paced
• Conference Talk

From Razor Clams to Robots - The Mathematics Behind Biologically Inspired Design

Explore biomimicry in engineering through examples of snails, clams, and microorganisms. Learn how mathematical analysis of natural systems leads to innovative robotic designs and optimization techniques.

• YouTube
• 50 minutes
• Self-Paced
• Conference Talk

From Newton to Boltzmann - Fluctuations and Large Deviations in Hard Sphere Gas Dynamics

Explore macroscopic fluctuations in hard sphere gases, including deviations from the Boltzmann equation, central limit theorem, and large deviation bounds in the Boltzmann-Grad limit.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Generative AI: Disruptions and Implications for Institutions, Enterprises and Society

Explore the impact of generative AI on institutions, enterprises, and society. Learn about deployment, scalability, sustainability, and governance of this powerful technology.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

The Influence of Multiple Scales in Fractured Media on Flow and Transport Properties

Explore how fracture geometry and network structure in low-permeability media affect fluid flow and solute transport using discrete fracture network models and high-fidelity simulations.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Modeling Fractures in Geoenergy Applications

Explore advanced techniques for modeling fractures in subsurface reservoirs, including hierarchical models, machine learning, and simulation methods for geoenergy applications like geothermal production and carbon storage.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Exploring the World of Coupled Oscillators - Jürgen Moser Lecture

Pioneering insights into nonlinear systems and oscillatory dynamics, exploring emergent phenomena, synchrony, and chaos. Retrospective on key contributions to the field of coupled oscillators and dynamical reduction.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

E-Bike Future Prediction Model - M3 Challenge Finalist Presentation

High school team presents mathematical modeling solution predicting the future of E-Bikes in the U.S., showcasing innovative problem-solving skills and STEM application in a prestigious competition.

• YouTube
• 20 minutes
• Self-Paced
• Free Video