Robotics: Kinematics and Mathematical Foundations
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assignment 等级:高级
chat_bubble_outline 语言:英语
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Welcome to the first course in the Robotics MicroMasters series. This is an advanced course designed for learners who have a bachelor's degree in engineering or a similar field.

Learners will succeed in this course if they have familiarity with basic operations on matrices and vectors, as well as exposure to derivatives and partial derivatives.

The fundamental challenge this course addresses is how one can create robots that operate well in the real world.

  • 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

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  • College-level algebra and trigonometry (matrices, vectors)
  • Fundamentals of calculus (derivatives, partial derivatives)
  • Basic knowledge of computer programming (variables, functions, control flow, some knowledge of graphs)



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



Camillo J. Taylor
Professor, Computer and Information Science, School of Engineering and Applied Science
University of Pennsylvania

Mark Yim
Professor, Mechanical Engineering and Applied Mechanics, School of Engineering and Applied Science
University of Pennsylvania



University of Pennsylvania
The University of Pennsylvania (commonly referred to as Penn) is a private university, located in Philadelphia, Pennsylvania, United States. A member of the Ivy League, Penn is the fourth-oldest institution of higher education in the United States, and considers itself to be the first university in the United States with both undergraduate and graduate studies.



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