Master the foundational math concepts that drive robotics and put them into practice using MATLAB. How do you create robots that operate well in the real world? Learn the key math concepts and tools used to design robots that excel in navigating our complex, unstructured world in environments such as aerospace, automotive, manufacturing and healthcare.
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In this course, part of the Robotics MicroMasters program, you will learn how to apply concepts from linear algebra, geometry and group theory and the tools to configure and control the motion of manipulators and mobile robots.
You will also learn how to use MATLAB, the standard robotics programming environment and learn step by step how to use this mathematical tool to write functions, calculate vectors and produce visualizations. You will get hands on experience applying your knowledge to projects using various simulations in MATLAB.
What you'll learn
- How to describe, analyze and think critically about fundamental problems in robotics, such as how to change the position or configuration of a robot
- The role of mathematics in describing robotic arms, mobile robots and other robotic platforms
- How to use the industry standard programming environment, MATLAB
Course Syllabus
Math Fundamentals
Week 1: Vector spaces, inner products, vector norms, orthogonality
Week 2: Linear transformations, matrix multiplication, matrix groups
Week 3: Coordinate transformations, rigid transformations, rotation matrices quaternions, Matrix groups SE(2) and SE(3)
Week 4: Project
Robot Kinematics
Week 5: Kinematic chains, forward kinematics,
Week 6: Inverse kinematics
Week 7: Parallel mechanisms
Week 8: Project
Kinematic Path Planning
Week 9: Graph based methods, Dijkstra’s method, A*Star
Week 10: RRT, configuration space,
Week 11: Artificial potential fields
Week 12: Project
