Description
Connect robotics problems with the mathematics used to describe movement, orientation and uncertainty. The course develops vectors, matrices, calculus and probability through examples such as rover motion, robotic-arm movement and target tracking. Topics include dot products and projection, cross products and torque, rotation matrices, coordinate transformations, eigenvectors and eigenvalues.
The calculus material uses the Jacobian to connect joint movement with an arm's motion and examines gradient descent through a target-reaching example. Probability sections introduce Bayesian updates and a one-dimensional Kalman filter, including the role of Kalman gain. A final control-loop example brings these ideas together to track a moving object using an estimated position, with optional Python scripts for exploring the derivations.
Intended audience: Robotics students seeking the mathematics behind simulation and control code. Software developers moving toward robotics, computer vision or control systems.
What you will learn
- Relate vector operations and transformation matrices to robot motion and coordinate frames.
- Use Jacobian concepts to connect joint changes with end-effector movement.
- Explain gradient descent, Bayesian updating and a one-dimensional Kalman filter.
- Combine mathematical concepts in a target-tracking control example.
Course specifications
- Publisher
- Udemy
- Instructors
- Frank Robotics Lab
- Level
- Beginner to Advanced
- Duration
- 9 hours and 11 minutes
- Lecture count
- 53
- Subtitle
- None
- Quality
- 1080p
- Edition
- 2026-9
Course topics
View course topics
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Prerequisites
- High-school algebra, including rearranging equations and reading graphs.
- Ability to read basic Python functions, variables and loops.
- Python 3, NumPy and SymPy are optional for running the accompanying mathematical scripts.
- Earlier linear algebra, calculus and probability courses are not required by the source.
Pictures
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Introduction video
How to open the files
Keep all parts of the same edition together before extracting the first archive. Open the included course media with a compatible player.
Download resources
Choose one edition and keep its parts together. Alternate providers are available when listed.
2026-9 · 1080p · 1
Direct downloads
2026-9 · 1080p
2026-9 · 1080p · 2
Rapidgator
2026-9 · 1080p
Size
2.8 GB
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