Non-Normal Linear Systems and Transient Energy Growth - Bypass Transition to Turbulence
Explore non-normal linear systems and their role in turbulence, including examples, code demonstrations, and applications in fluid dynamics and bypass transition.
Drawing Phase Portraits for Nonlinear Systems
Learn to analyze nonlinear systems by drawing phase portraits, identifying fixed points, linearizing, and inferring global dynamics. Gain practical skills in stability analysis using eigenvalues and eigenvectors.
Systems of ODEs: Imaginary Eigenvalues and Center Fixed Points
Explore imaginary eigenvalues and center fixed points in 2D ODE systems. Learn to compute eigenvectors, write solutions, and understand geometric intuition behind rotational dynamics.
Systems of ODEs - Saddle Points and Instability
Explore unstable saddle points in 2D linear ODEs, their applications in energy-efficient transport, and analysis using eigenvalues, eigenvectors, and phase portraits.
Systems of ODEs - Sources and Sinks
Explore 2D linear ODEs with real eigenvalues, analyzing unstable sources and stable sinks through eigenvalues, eigenvectors, and phase portraits. Gain insights into solution methods and visualizations.
Eigenvalues and Eigenvectors
Explore eigenvalues and eigenvectors, key concepts in linear algebra. Learn to compute them for any matrix, understand their significance in transformations, and apply them to solve complex linear systems.
Second-Order ODE: Spring-Mass-Damper
Comprehensive tutorial on solving second-order ODEs for damped harmonic oscillators, covering derivation, solution methods, and practical implementation in Matlab and Python.
Second-Order Ordinary Differential Equations - Solving the Harmonic Oscillator Four Ways
Explore four methods to solve second-order ODEs for harmonic oscillators: guessing, Taylor series, alternative guessing, and matrix systems. Gain practical problem-solving skills in differential equations.
The Simplest Ordinary Differential Equation and Its Exponential Solution
Explore exponential solutions to simple ODEs through real-world examples like population growth, compound interest, and radioactive decay. Gain intuitive understanding of Euler's number and its applications.
Gentle Introduction to Modeling with Matrices and Vectors - A Probabilistic Weather Model
Explore probabilistic weather modeling using matrices and vectors, with practical examples in Python and MATLAB. Learn to represent and update weather states mathematically.
Differential Equations and Dynamical Systems - Overview
Explore dynamical systems and their applications in various fields. Learn classic and modern techniques for modeling real-world phenomena, from fluid dynamics to epidemiology.
Brew a Coffee With Python - Tuya Smart IOT Platform Walkthrough
Learn to automate coffee brewing and control LED lights using Python and the Tuya Smart IOT Platform. Explore Internet of Things concepts and create practical smart home applications.
How to Draw an Isometric Gingerbread House
Learn to create a charming isometric gingerbread house using Procreate. Master digital illustration techniques, from setup to shading, with step-by-step guidance and free resources.
How to Properly Install a Quick Release Steering Wheel With Working Horn
Comprehensive guide on installing a quick release steering wheel, covering removal of old wheel, wiring the horn, and adding push-to-talk buttons. Includes tool recommendations and safety precautions.
Restoration Tonka Crane 1965 - Restore
Detailed restoration process of a 1965 Tonka Crane, showcasing disassembly, sandblasting, metal treatments, plastic restoration, and reassembly, resulting in an impressive like-new finish.
Making Magic with Micro:bits - Holiday Projects Using MakeCode
Create holiday decorations using MakeCode and BBC micro:bit. Learn about LEDs, buttons, and radio signals for fun displays. Includes tips for family and school projects from a primary school tech educator.
Stability of Forward Euler and Backward Euler Integration Schemes for Differential Equations
Explore stability of Forward and Backward Euler integration schemes for differential equations through eigenvalue analysis, covering continuous and discrete dynamics, scalar and matrix systems.
You Can Draw This Isometric Room in Procreate
Learn to create an isometric bedroom in Procreate with step-by-step guidance. Master sketching, coloring, shading, and adding realistic details to bring your digital artwork to life.
Processing and Shaping Optical Fiber
Explore optical fiber processing techniques, including splicing multicore fibers and lensing tips. Learn about intrinsic fiber characteristics and various processing methods for different fiber types.
Photodetectors: Technology and Selection Criteria
Comprehensive overview of photodetector technology, covering materials, operation, signal processing, and selection criteria for various applications in light characterization.
Power and Energy Meters - Technology and Selection Criteria
Comprehensive overview of power and energy meters, covering technology, selection criteria, and best practices for accurate light measurement in various applications.