Applied Mathematics Courses and Certifications

Michael Penn

Series Solutions for Differential Equations

Master series solution techniques for differential equations including ordinary points, Frobenius method, and Airy's equation through detailed examples and theoretical foundations.

• YouTube
• 2 hours 46 minutes
• Self-Paced
• Free Video

ICTP Condensed Matter and Statistical Physics

Physics of Complex Systems - Spring College

Explore complex systems through statistical physics, random matrices, biological optimization, thermodynamics, and bacterial physiology in this intensive program from leading researchers.

• YouTube
• 2 days 9 hours 43 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

Integrability in Condensed Matter Physics and Quantum Field Theory

Explore advanced mathematical techniques in integrable systems, from spin chains to quantum field theory, through expert lectures on Bethe ansatz, conformal bootstrap, and modern applications.

• YouTube
• 1 day 7 hours 12 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Numerical Methods for Partial Differential Equations (2022)

Master advanced computational techniques for solving partial differential equations through rigorous mathematical analysis and practical implementation methods.

• YouTube
• 1 day 4 hours 26 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

CRM CAMP in Nonlinear Analysis - Computer-Assisted Methods of Proof

Explore computer-assisted proof methods for dynamical systems and nonlinear analysis through expert presentations on chaos, bifurcations, and rigorous numerical techniques.

• YouTube
• 2 days 10 hours 41 minutes
• Self-Paced
• Free Video

Society for Industrial and Applied Mathematics

Analysis and Methods for Partial Differential Equations - SIAM PDE Seminar Series

Explore cutting-edge research in partial differential equations through expert webinars covering fluid dynamics, wave theory, plasma turbulence, and mathematical analysis methods.

• YouTube
• 1 day 16 hours 44 minutes
• Self-Paced
• Free Video

Let's Code Physics

Euler-Cromer Method for Beginners

Master the Euler-Cromer numerical method for physics simulations, covering position, velocity, forces, energy conservation, and angular momentum with practical coding examples.

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

Let's Code Physics

Learning the Runge-Kutta Method

Master numerical integration techniques for solving differential equations using Runge-Kutta methods, from basic concepts to adaptive step sizes and higher-order systems.

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

Let's Code Physics

Interpolation for Beginners

Discover linear interpolation, Lagrange polynomials, cubic splines, and data visualization techniques in this beginner-friendly physics programming series.

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

Let's Code Physics

Numerical Integration for Beginners

Discover numerical integration techniques from Riemann sums to Monte Carlo methods, including midpoint, trapezoidal, Simpson's rules, and double integrals.

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

International Centre for Theoretical Sciences

Ergodic Theory and Dynamical Systems 2022

Explore advanced topics in ergodic theory and dynamical systems through expert lectures on Diophantine approximation, homogeneous dynamics, and measure theory applications.

• YouTube
• 1 day 16 hours 22 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Tipping Points in Complex Systems

Explore critical transitions in complex systems through dynamical theory, early warning signals, stochastic processes, and real-world applications in climate, ecology, and biology.

• YouTube
• 1 day 11 hours 3 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Calculus of Variations in Probability and Geometry

Explore advanced mathematical techniques connecting calculus of variations, probability theory, and geometric inequalities through expert lectures on isoperimetric problems and applications.

• YouTube
• 11 hours 14 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Evolution of Interfaces - Trimester Program

Explore advanced mathematical theories on interface evolution, covering De Giorgi-Almgren theory, Brakke's mean curvature flow, convex integration, and cutting-edge research in PDEs and fluid dynamics.

• YouTube
• 1 day 11 hours 40 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Multiscale Problems - Algorithms, Numerical Analysis and Computation

Explore advanced mathematical techniques for solving complex multiscale problems through expert lectures on numerical analysis, finite element methods, and computational algorithms.

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