Applied Mathematics Courses and Certifications

Steve Brunton

Sparse Identification of Nonlinear Dynamics - SINDy

Explore a novel algorithm combining machine learning and sparse regression to identify nonlinear differential equations from measurement data, with applications in dynamical systems.

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

Derek Banas

Prelinear Algebra - Essential Concepts for Linear Algebra

Comprehensive introduction to vectors, trigonometry, and geometry as foundational concepts for Linear Algebra, with applications in various fields like physics, economics, and machine learning.

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

TabletClass Math

A Race Car Goes 150 MPH for 5 Minutes - Can You Find the Circular Track's Width?

Solve a challenging geometry problem involving a race car on a circular track, applying concepts of speed, time, distance, and circular motion through a detailed step-by-step solution.

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

Steve Brunton

Hankel Alternative View of Koopman Analysis

Decomposing chaos into linear systems with intermittent forcing using HAVOK analysis. Explores eigen-time-delay coordinates for regression models, offering new insights into complex dynamical systems.

• YouTube
• 47 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

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

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

ICTP Mathematics

Summer School in Dynamics - Introductory and Advanced

Explore fundamental and advanced concepts in dynamical systems through circle maps, ergodic theory, and renormalization techniques with expert-led lectures and hands-on tutorials.

• YouTube
• 1 day 1 hour 23 minutes
• Self-Paced
• Free Video

ICTP Mathematics

School and Conference on Dynamical Systems

Explore advanced dynamical systems theory through expert lectures on chaotic dynamics, conservative systems, ergodic theory, and geometric aspects from leading mathematicians.

• YouTube
• 2 days 9 hours 28 minutes
• Self-Paced
• Free Video

ICTP Mathematics

School on Algebraic, Geometric and Probabilistic Aspects of Dynamical Systems and Control Theory

Explore algebraic, geometric and probabilistic aspects of dynamical systems through expert minicourses covering counting techniques, group actions, symbolic dynamics, and Brownian motion.

• YouTube
• 1 day 6 hours 1 minute
• Self-Paced
• Free Video

ICTP Mathematics

Dynamical Systems

Explore mathematical systems that evolve over time through 20 comprehensive lectures covering fundamental theory, applications, and advanced concepts in dynamical systems.

• YouTube
• 1 day 4 hours 18 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

Demonology - Intelligence in Physics & Biology

1 rating

Explore the historical role of intelligence in physics and biology, from Laplace's demon to modern information theory, and its implications for understanding natural phenomena.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video