Applied Mathematics Courses and Certifications

Introduction to Dynamical Systems and Chaos

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In this course you'll gain an introduction to the modern study of dynamical systems, the interdisciplinary field of applied mathematics that studies systems that change over time.

• Complexity Explorer
• 10 weeks, 3-6 hours a week
• On-Demand
• Free Online Course

• Best of All Time

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

Institute for Pure & Applied Mathematics (IPAM)

Slow Time-Scale Behavior of Fast Microscopic Dynamics - IPAM at UCLA

Explores computational methods for understanding slow time-scale behavior of rapid microscopic dynamics, with applications in materials modeling and plasticity. Presents theory and examples for coarse-graining complex systems.

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

Applied Algebraic Topology Network

Applied Topology for Discrete Structures

Explore topological concepts applied to discrete structures modeling real data, bridging network science and applied topology for innovative analysis of complex systems.

• YouTube
• 59 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

Society for Industrial and Applied Mathematics

Optimal Transport for Inverse Problems and Implicit Regularization

Exploring optimal transport theory for inverse problems, addressing nonconvexity and noise sensitivity in least-squares methods, with applications in industry and broader data-fitting challenges.

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

Society for Industrial and Applied Mathematics

Hölder Stability in Quantitative Photoacoustic Tomography - Imaging and Inverse Problems Seminar

Explore Hölder stability in quantitative photoacoustic tomography, focusing on reconstructing diffusion and absorption coefficients from partial internal data near boundaries.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Entropic Optimal Transport - Eighteenth SIAM Activity Group on FME Virtual Talk

Explore entropic regularization in optimal transport with Marcel Nutz. Learn about convergence, local behavior, and applications in high-dimensional data problems.

• YouTube
• 1 hour 5 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

Nonlinear Spectral Decompositions in Imaging and Inverse Problems

Explore nonlinear spectral decompositions in imaging and inverse problems, focusing on variational theory and applications in data science, with computational methods discussed.

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