Foundations of Robot Modeling and Kinematics

Understanding how robots move and interact with the physical world is the first step toward building intelligent machines. This text-based course guides you through the foundational principles of robot modeling, bridging the gap between theoretical mechanics and practical robotic control. By reading these structured modules, you will learn how to represent robotic joints and links mathematically, derive kinematic equations, and understand the core mechanics that govern robotic manipulators. You will gain the confidence to analyze robot configurations and prepare them for modern control algorithms and software integration. What you'll learn: Understand foundational robotics terminology, coordinate systems, and spatial representations; Calculate forward and inverse kinematics using standard Denavit-Hartenberg parameters; Analyze the differential kinematics and Jacobian matrices that describe robot motion; Explore the relationship between mechanics, electronics, and control systems in modern robotics; Discover how robot models integrate with modern environments like ROS 2 and simulation tools; Practice deriving mathematical models through step-by-step written exercises and examples. The course begins with essential definitions of spatial descriptions and transformations before moving into kinematic modeling of serial manipulators. You will then progress to differential motion and introductory dynamics, setting a solid foundation for physical robot control. This course is designed for beginners, students, and aspiring robotics engineers who want a solid mathematical foundation in robot modeling. No prior robotics experience is required, though a basic understanding of linear algebra and physics is helpful. Start reading today to unlock the mathematical secrets behind robot movement and control.