Kinematics Courses and Certifications

Simons Foundation

From Rotating Needles to Stability of Waves: Local Smoothing in the 21st Century

Delve into the fascinating connection between wave equations, local smoothing phenomena, and the Kakeya needle problem through advanced mathematical concepts and their applications in physics.

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

The Royal Institution

Topology, Geometry and Life in Three Dimensions

Explore hyperbolic geometry's role in mapping complex 3D spaces and its influence on digital art. Learn about mathematical approaches to describing and investigating intricate maze-like structures.

• YouTube
• 58 minutes
• Self-Paced
• Conference Talk

Tom Rocks Maths

Oxford Calculus: How to Solve the Heat Equation

Learn to solve the Heat Equation, a fundamental PDE in calculus, with Oxford mathematician Dr Tom Crawford. Includes practice questions, interactive worksheets, and a free calculator app for comprehensive understanding.

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

Tom Rocks Maths

Oxford Calculus - Separable Solutions to PDEs

Learn to solve partial differential equations using separable solutions with Oxford mathematician Dr Tom Crawford. Includes examples, practice worksheets, and links to a free calculator app for checking your work.

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

Tom Rocks Maths

Oxford Calculus - Heat Equation Derivation

Comprehensive derivation of the Heat Equation from physical principles, including Liebniz Rule and Fourier's Law. Extends to 2D and 3D applications with interactive exercises for practice.

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

Artem Kirsanov

Elegant Geometry of Neural Computations - Understanding Phase Portraits and Bifurcations

Explore the geometric principles behind neural computations, from phase portraits to bifurcations, understanding how neurons achieve excitability, bistability, and resonant oscillations through mathematical modeling.

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

javidx9

Aiming Cannons at Worms - Part 1

Master the fundamentals of 2D ballistic calculations and projectile motion, learning how to determine precise cannon firing angles to hit targets in a wind-free environment.

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

Michael Penn

Linear Differential Equations - Homogeneous and Nonhomogeneous Methods

Master homogeneous and nonhomogeneous linear differential equations with constant coefficients, including repeated roots and undetermined coefficients method.

• YouTube
• 1 hour 33 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 International de Rencontres Mathématiques

Control Theory and Optimization

Explore advanced mathematical techniques in control theory, optimization, and mean field games through expert lectures covering PDEs, machine learning, and quantum computing applications.

• YouTube
• 4 days 4 hours 14 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

JuliaHub

System Identification in Julia

Master system identification techniques using Julia through hands-on experiments, model estimation, validation, and real-world applications like control systems and fault detection.

• YouTube
• 6 hours 21 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Harmonic Analysis - PCMI 28th Annual Summer Session 2018

Dive into advanced harmonic analysis through expert lectures on Almgren's center manifolds, elliptic homogenization, rectifiable measures, and minimal sets from leading mathematicians.

• YouTube
• 22 hours 53 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Lectures on Harmonic Analysis

Dive into advanced harmonic analysis through expert lectures covering Almgren's theory, elliptic homogenization, rectifiable measures, and minimal sets from leading mathematicians.

• YouTube
• 22 hours 53 minutes
• Self-Paced
• Free Video

Topos Institute

Polynomial Functors - Theory and Applications to Dynamical Systems and Data

Explore polynomial functors with applications to dynamical systems and data, balancing solid theoretical foundations with diverse examples from category theory.

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