Robotics: Kinematics and Mathematical Foundations

edX Robotics: Kinematics and Mathematical Foundations

Platform
edX
Provider
University of Pennsylvania
Effort
8 to 10 hours per week
Length
12 weeks
Language
English
Credentials
Paid Certificate Available
Part of
MicroMasters Program: Robotics
Course Link
Overview
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.

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
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

Taught by
Camillo J. Taylor and Mark Yim
Author
edX
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