Applied Mathematics Courses and Certifications

Alan Turing Institute

Best Practice From Julia - Impact Through Efficient Research Code

Explore Julia's impact on efficient research code, from self-driving cars to astronomy. Learn about cutting-edge tools for mathematical modeling and machine learning in various fields.

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

Alan Turing Institute

Modal Analysis from Random and Compressed Samples

Explores modal analysis techniques for structural health monitoring, focusing on efficient sampling and compression strategies in wireless sensor networks to minimize power consumption.

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

MITCBMM

Dynamical Systems in Neuroscience

Explore cluster computing and OpenMind for brain and cognitive sciences, covering dynamical systems, models, and observation techniques in neuroscience research.

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

Institute for Advanced Study

On the Spatial Restricted Three-Body Problem - Agustin Moreno

Explore the spatial restricted three-body problem, global hypersurfaces, and Hamiltonian return maps. Learn about a higher-dimensional Poincaré-Birkhoff theorem and its applications to orbital dynamics.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 Lecture - Constrained Optimization with LaGrange Multipliers

Learn to optimize multivariable functions with constraints using gradients and LaGrange multipliers. Master this powerful calculus technique through clear explanations and challenging examples.

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

Insights into Mathematics

Center of Mass and Barycentric Coordinates - Wild Linear Algebra A

Explore vectors, forces, and motion through engaging games. Learn about center of mass, Archimedes' principle, and barycentric coordinates in this comprehensive linear algebra lecture.

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

Insights into Mathematics

Understanding Uniform Motion - Are Radians Really Necessary? - WildTrig

Explores the concept of radians, questioning their necessity in uniform motion and examining the distinction between pure and applied mathematics in this context.

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

Insights into Mathematics

Curvature, Turning Numbers and Winding Numbers - Differential Geometry

Explore curvature, turning numbers, and winding numbers in planar curves. Learn about irrational numbers and transcendental functions from an applied perspective using rational turn angles.

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

Steve Brunton

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

Explore dynamical systems: fixed points, linearization, manifolds, bifurcations, and chaos. Gain insights into nonlinear dynamics and their applications in describing our changing world.

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

The Royal Institution

The Maths of Contagion: Why Things Spread and Why They Stop - With Adam Kucharski

Explore mathematical models for disease spread, misinformation, and internet memes. Learn how outbreaks occur, why some are predictable, and strategies for controlling epidemics and viral content.

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

International Centre for Theoretical Sciences

Modeling Noisy Count Data I by Sayan Mukherjee

Explore statistical modeling techniques for analyzing noisy count data, focusing on methods to handle variability and uncertainty in numerical datasets.

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

Fields Institute

Modelling of Spatial Infection Spread Through Heterogeneous Population

Explore spatial infection spread modeling in heterogeneous populations, examining key factors and methodologies for understanding disease transmission dynamics.

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

Hausdorff Center for Mathematics

Hydrodynamic Limits and Condensing Zero Range Processes

Explore hydrodynamic limits and condensing zero range processes in interacting particle systems. Learn about phase separation, relative entropy method, and non-closed hydrodynamic descriptions.

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

Hausdorff Center for Mathematics

Propagation of Chaos for Exotic Interactions

Explore alignment mechanisms in N-particle models with topological interactions, examining the kinetic equation's derivation and statistical independence in mean-field limits.

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

Hausdorff Center for Mathematics

On Boltzmann Type Equations in Socio-Economic Applications

Explores Boltzmann-type models for large interacting agent systems, focusing on Elo rating and knowledge growth. Discusses scaling limits, dynamics, and balanced growth path solutions.

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