Systems Core Courses

Hussein Nasser

Optimizing Communication and Networking in Database Systems - The Backend Engineering Show

Explore communication patterns in database systems, focusing on 3-tier architecture, connection pooling, and multiplexing protocols to optimize performance and handle high concurrency.

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

Steve Brunton

Linear Systems of Differential Equations with Forcing - Convolution and the Dirac Delta Function

Explores linear differential equations with forcing, covering impulse response, Dirac delta function, and convolution integral. Essential for control theory and linear systems analysis.

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

Steve Brunton

Systems of Differential Equations - Diagonalization and Jordan Canonical Form

Explore diagonalization and Jordan Canonical Form for systems of differential equations, covering eigenvectors, complex conjugates, repeated eigenvalues, and general matrix applications.

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

Steve Brunton

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.

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

Steve Brunton

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.

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

Steve Brunton

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.

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

Steve Brunton

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.

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

Steve Brunton

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.

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

Steve Brunton

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.

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

Tooling for Incremental ASP.NET Core Migrations - Microsoft Build 2022

Explore new tooling for easier ASP.NET to ASP.NET Core migrations, including VS extensions, YARP, and System.Web Adapters. Learn about incremental migration strategies and session sharing benefits.

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

Future Possibilities for .NET Core and WASI - WebAssembly on the Server

Explore WebAssembly's potential beyond browsers, focusing on running .NET in WASI environments. Learn about compiling .NET code to WASI modules and the opportunities this presents for cloud-native architecture.

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

Output Caching in ASP.NET Core 7

Explore ASP.NET Core 7's Output Caching feature, including configuration, extensible stores, cache invalidation, and mitigation strategies for improved performance and scalability.

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

Create Web Apps and Services with ASP.NET Core, Minimal API, and .NET 6

Explore ASP.NET Core and minimal API to build efficient web apps. Learn Entity Framework Core integration, data persistence, and advanced routing techniques in .NET 6.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video

Introduction to Azure Stack HCI Core Technologies

Explore Azure Stack HCI core technologies, including Hyper-V, software-defined storage, and networking. Gain practical insights through demos and knowledge checks led by industry experts.

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

FX Trading Strategies - Core Concepts

Comprehensive FX trading guide covering strategies, analysis tools, pair selection, and market dynamics for beginners and experienced traders alike.

• YouTube
• 16 hours
• On-Demand
• Free Video