# 机器人技术：运动学和数学基础

## Robotics: Kinematics and Mathematical Foundations

Master the foundational math concepts that drive robotics and put them into practice using MATLAB.

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edX
• 完成时间大约为 12
• 高级
• 英语

### 你将学到什么

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

### 课程概况

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.

### 课程大纲

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

### 预备知识

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)

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