Applied Mathematics Courses and Certifications

Why There Are No Three-Headed Monsters

Explore developmental constraints, brain tumors, and marriage dynamics through mathematical biology, offering insights into morphogenesis, medical interventions, and relationship predictions.

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

From Ronald Ross to ChatGPT: The Birth and Strange Life of the Random Walk

Explore the fascinating history of random walks in mathematics, from mosquito control to AI, and their impact on various fields including physics, finance, and theology.

• YouTube
• 54 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

Society for Industrial and Applied Mathematics

Mathematical Framework and Numerical Aspects of Adapted Optimal Transport

Explore mathematical frameworks for transfer learning and numerical aspects of adapted optimal transport in financial mathematics and engineering through expert talks from leading researchers.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

The Role of Mathematics in Solving the World's Main Challenges

Explore how mathematics and computation contribute to understanding climate, energy, the cosmos, and life itself through TED-style talks by renowned computational scientists.

• YouTube
• 2 hours 33 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Analytic Shape Reconstruction of a Planar Conductivity Inclusion

Explore mathematical techniques for reconstructing planar conductivity inclusions using generalized polarization tensors and Riemann mapping coefficients in this advanced applied mathematics seminar.

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

Society for Industrial and Applied Mathematics

Orthogonality Sampling Methods for Electromagnetic Inverse Scattering Problems

Exploring orthogonality sampling methods for electromagnetic inverse scattering problems, focusing on implementation simplicity, noise robustness, and applications in 2D and 3D experimental data.

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

Society for Industrial and Applied Mathematics

Shape Optimization Approach for Sharp-Interface Reconstructions in Inverse Problems

Shape optimization techniques for inverse problems: analyzing piecewise constant models, shape derivatives, and Lagrangian approaches. Applications in electrical impedance tomography and full waveform inversion.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Parametric Polynomial Systems and Biochemical Reaction Networks

Explore parametric polynomial systems in biochemical reaction networks, focusing on multistationarity and the dual futile cycle. Gain insights into steady state analysis and parameter region determination.

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