Applied Mathematics Courses and Certifications

Society for Industrial and Applied Mathematics

The Half-space Matching Method for Solving Scattering in Complex Media

Explore innovative wave scattering solutions in complex media using the Half-space Matching Method, offering efficient alternatives to traditional computational techniques.

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

Society for Industrial and Applied Mathematics

From Applied Mathematicians to Entrepreneurs - Industry Panel Discussion

Applied mathematicians share their journeys to entrepreneurship, offering insights on career paths, challenges, and advice for aspiring math entrepreneurs in various industries.

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

Society for Industrial and Applied Mathematics

Contract Theory and Mean Field Games to Inform Epidemic Models

Contract theory and mean field games applied to epidemic control: exploring models with one principal and multiple agents to inform regulatory decisions in continuous and discrete state spaces.

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

Society for Industrial and Applied Mathematics

Families of Polynomials in Biochemical Reaction Networks

Exploring polynomial systems in biochemical reaction networks, focusing on computational techniques for analyzing families of polynomials with combinatorial structures derived from reaction digraphs.

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

Society for Industrial and Applied Mathematics

Applications of Homotopy Continuation in Science and Engineering

Explore homotopy continuation in numerical algebraic geometry and its applications in chemistry, mechanical engineering, and biological modeling. Learn about tracking solutions to parameterized nonlinear equations.

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

Society for Industrial and Applied Mathematics

Wave Enhancement Through Spectral Optimization - 33rd IMAGINE Seminar

Explore efficient optimization of wave transmission in cavities through boundary condition adjustments, using spectral analysis and layer potential methods for accurate eigenvalue calculations.

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

Society for Industrial and Applied Mathematics

Spectral Problems in Inverse Scattering Theory - 21st IMAGINE OneWorld SIAM-IS Seminar

Explore scattering theory's spectral problems, focusing on poles, non-scattering frequencies, and transmission eigenvalues. Learn how these relate to scattering operators and material properties in inhomogeneous media.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Certificates of Nonnegativity and Their Applications in Theoretical Computer Science

Explore nonnegativity certificates in real algebraic geometry, focusing on sums of squares and sums of nonnegative circuit polynomials, with applications to polynomial optimization and theoretical computer science.

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

Society for Industrial and Applied Mathematics

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
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

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
• On-Demand
• Free Video

Steve Brunton

A Compressed Overview of Sparsity

Explore compressed sensing in engineering mathematics, covering sparsity, compression techniques, and L1 minimization. Learn key principles and applications beyond image processing.

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

Hausdorff Center for Mathematics

Dynamic Brittle Fracture as a Well-Posed Nonlocal Initial Value Problem

Explore a nonlocal model for dynamic brittle damage, examining its phases, evolution, and energy balance. Learn how this approach relates to Griffith fracture energy and Navier's equation for crack propagation.

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

Institute for Mathematical Sciences

Optimization in Theory and Practice

Explore optimization techniques and their real-world applications with insights from Stephen Wright of University of Wisconsin-Madison, blending theoretical foundations and practical implementations.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

From Materials to Minds: Nonlocal Approaches to Damage and Degeneration

Explore nonlocal analysis for modeling damage in materials, drawing parallels to neural networks and potential applications in cognitive degeneration research.

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

Society for Industrial and Applied Mathematics

Pathwise Entropy Solutions of SPDEs via Rank-Based Models - SIAM FME Virtual Talk

Explore pathwise entropy solutions for SPDEs, linking stochastic portfolio theory and rank-based models. Uncover probabilistic insights under Brownian motion in this advanced mathematical presentation.

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