Dynamic Systems Modeling and Simulation Fundamentals

How do complex engineering systems—combining mechanical, electrical, and thermal components—behave in the real world? This course introduces you to the foundational principles of dynamic systems modeling. You will learn how to break down multi-domain physical systems into mathematical representations, allowing you to predict and control their behavior. Starting with core definitions, you will progress to building state-space models and analyzing system dynamics using modern analytical approaches.\n\nWhat you'll learn:\n- Understand the fundamental concepts of multi-domain physical systems, energy storage, and dissipation\n- Represent complex engineering systems using network models and state-space formulations\n- Apply Lagrangian and Hamiltonian mechanics to derive equations of motion\n- Analyze system stability and key control-relevant properties\n- Simulate dynamic behaviors using modern computational and numerical methods\n\nYou will begin by learning key terminology and the basic physics of energy flow across different domains. From there, you will explore network representations, state-space formulations, and advanced analytical mechanics, concluding with practical simulation techniques.\n\nThis course is designed for beginners, aspiring engineers, and students looking for a clear, text-based introduction to system dynamics. No prior advanced engineering background is required.\n\nStart reading today to unlock the skills needed to model and analyze complex dynamic systems.