Required modules
- Limits, continuity, and numerical approximation
- Derivatives and physical rates of change
- Chain rule and composite robot models
- Linearization, sensitivity, and optimization
The learning path
Chart your path from first principles to a working robot.
Thirty-one connected courses combine the undergraduate engineering base with graduate robotics depth from UCSC, CMU, and UPenn.
There is no numbered order. Start at any entry point, then follow each course's prerequisite and unlock relationships.
Start with any unlocked course. Prerequisites—not course numbers—define the path.
4 entry points31 courses71 prerequisite links
Dependency band
Foundation
Dependency band
Intermediate
Dependency band
Advanced
Foundation · Mathematics
Calculus I
Model continuous change, motion, and sensitivity with limits and derivatives.
10–12 weeks7–9 hours/weekFoundation
Prerequisites
No prerequisites—start here.
Unlocks
Course project — Differential-drive motion notebook
- Define a smooth planar path with units
- Derive velocity and acceleration
- Validate with finite differences
- Publish plots, tests, and a technical note
Tools and references
- Tool: Python
- Tool: Jupyter
- Tool: SymPy
- Tool: NumPy
- Tool: Matplotlib
- Reference: MIT OpenCourseWare 18.01
- Reference: OpenStax Calculus, Volume 1
Completion criteria
- Complete every required module and revise missed work after review.
- Deliver project source or design files, assumptions, tests, results, and a concise technical report.
- Meet the project constraints and explain at least one failure mode, limitation, or tradeoff.
- Reproduce the final artifact or experiment from a clean setup.
Next steps
Calculus II and Mechanics & Dynamics