Online Course in Robotics: Kinematics and Mathematical Foundations

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The Robotics: Kinematics and Mathematical Foundations course from the University of Pennsylvania offers a rigorous introduction to the mathematical underpinnings essential for building real‑world robots. Targeted at learners with a bachelor’s degree in engineering or a related discipline, the program expects familiarity with matrix operations, vectors, and basic calculus. Over the span of several weeks, you’ll dive deep into the geometry of motion, exploring how coordinate transformations, forward and inverse kinematics, and Jacobian matrices enable precise control of robotic arms and mobile platforms.

Practical assignments complement the theory, guiding you through the development of simulation models and the implementation of control algorithms in Python or MATLAB. You’ll learn to analyze singularities, optimize trajectories, and apply differential equations to predict system behavior under varying loads. By tackling real‑world case studies—from industrial manipulators to autonomous drones—you’ll gain confidence in translating abstract mathematics into functional robotic solutions.

This fully online, English‑language course is free of tuition and application fees, allowing you to focus on mastering the core concepts without financial barriers. Upon completion, you’ll possess a strong analytical toolkit that prepares you for advanced robotics courses, research collaborations, or technical roles in automation and AI‑driven industries worldwide.