Learning Paths
Learning Paths
Guided sequences through books, papers, videos, and tools tailored to your goals.
Start by Persona
Not sure where to begin? Pick the persona that fits your background and goals:
Learner
New to control theory or biomechanics
Build foundational knowledge from first principles. Start with the mathematics and physics before diving into applications.
- First Page: Foundations Learning Path
- 30-Minute Route: Lagrangian Mechanics Reference
- Go Deeper: Volume I: The Geometry of Motion
Workflows: Governed Workflows (installation-verification)
Researcher
Academic or scientific focus
Deep-dive into theoretical foundations, research methods, and peer-reviewed analysis techniques.
- First Page: Control Theory Learning Path
- 30-Minute Route: Theory Part 1 — Control-Affine Derivation
- Go Deeper: Tangent Space Series
Workflows: Governed Workflows (reference-double-pendulum-analysis, reference-simulation-report)
Integrator
Software developer integrating tools
Integrate AffineDrift computational tools and APIs into your own projects.
- First Page: Programming Hub
- 30-Minute Route: Software Tools Catalog
- Go Deeper: Governed Workflows
Workflows: Governed Workflows (companion-export, installation-verification, program-catalog-export)
Experimentalist
Hands-on simulation and modeling
Run simulations, analyze experimental data, and explore computational models.
- First Page: Programs & Models
- 30-Minute Route: Model Ladder
- Go Deeper: Governed Workflows
Workflows: Governed Workflows (reference-double-pendulum-simulation, reference-simulation-plot, launch-monitor-import-export)
Reviewer
Critical evaluation of claims
Evaluate scientific claims, review methodologies, and contribute critical analysis.
- First Page: Research Reviews
- 30-Minute Route: Critiques & Responses
- Go Deeper: Scientific Claim Audit
Workflows: Governed Workflows (companion-export, zero-torque-counterfactual)
Contributor
Contributing to the project
Join the community and contribute code, content, or critical reviews.
- First Page: Collaborate
- 30-Minute Route: About & Authority
- Go Deeper: Development Roadmap
Workflows: Governed Workflows (program-catalog-export, companion-export)
Curious Golfer / Coach
Physics, equipment, and swing mechanics
Explore the mechanics, shaft dynamics, and impact physics of the golf swing from a scientific perspective. Notice: AffineDrift is a scientific and theoretical mechanics resource; it does not provide swing instruction or swing coaching.
Notice: AffineDrift is a scientific and theoretical mechanics resource. It does not provide swing instruction, swing fixes, or personal coaching.
- First Page: Golf Science Learning Path
- 30-Minute Route: Impact Dynamics & Oblique Collision
- Go Deeper: The Physics of Golf Monograph
Workflows: Governed Workflows (launch-monitor-import-export, zero-torque-counterfactual)
Student
Coursework, robotics, and biomechanics
Study rigid-body mechanics, optimal control, and human movement dynamics with open code and reproducible examples.
- First Page: Foundations Learning Path
- 30-Minute Route: Lagrangian Mechanics Reference
- Go Deeper: Biomechanics & Motor Control Path
Workflows: Governed Workflows (installation-verification, reference-double-pendulum-simulation)
Short on time? See the Short On-Ramp Paths. They give 5-minute, 30-minute, and 3-hour plans for each persona.
Overview
AffineDrift covers control theory, biomechanics, robotics, and golf science. The paths below put these into learning sequences that match your goal. The steps and modules for each path are listed below.
How to Use These Paths
Each path is a sequence of learning “modules”. Each module has:
- Book chapters or textbook sections (the core reading)
- Supporting papers (peer-reviewed background)
- Videos or lectures (other ways to learn the same idea)
- Tools or notebooks (hands-on practice)
- Estimated time to finish
Example Module Structure (Illustrative)
The diagram below shows the general shape of a module. It is not a specific path. For the real modules, readings, and time estimates of a path, see that path’s own page linked above.
Module N: <topic> (weeks W1–W2)
├─ Read: relevant book chapter(s)
├─ Papers: key papers on the topic
├─ Video: lecture or talk
└─ Practice: notebook or code exercise
↓ (estimated hours)
Module N+1: <next topic> ...
Each published path (Foundations, Control Theory, Biomechanics, Golf Science) lists its own modules, with real readings and time estimates. See the path pages linked above for the actual sequence.
What Happens After?
Once you finish a path, you can:
- Take another path to learn more.
- Do your own research with the Resources section.
- Join the community and contribute.
- Write critical reviews for the Research Reviews section.
- Build applications using the Build section.
Resources by Learning Style
Visual Learners
- Start with Videos.
- Use: Notebooks with visuals.
- Add: Textbook chapters.
Hands-On Learners
- Start with Software Tools.
- Use: Jupyter notebooks and code examples.
- Add: Papers on the theory.
Theory-First Learners
- Start with textbook chapters and papers.
- Use: Math derivations.
- Add: Examples of how to build it.
Applied Learners
- Start with Golf Science or applications.
- Use: Real-world data and case studies.
- Add: The theory, as you need it.
Difficulty Progression
Introductory (10–80 hours)
↓
Intermediate (80–160 hours)
↓
Advanced (160+ hours)
Each path shows its estimated total time. There are no time limits, so learn at your own pace.
Getting Started
- Name your goal. What problem do you want to solve?
- Check your background. What do you already know?
- Choose a path from the four options above.
- Start with Module 1 in that path.
- Use the Resources section for more materials.
- Join the community for talk and feedback.
Questions?
- Which path fits my background? See the Books Roadmap for help choosing.
- Need more detail on a topic? See Research Reviews.
- Looking for a book or paper? See Books, Papers, or Videos.
- Want to contribute? See Collaborate.
Path Index
- Short On-Ramp Paths — 5-minute, 30-minute, and 3-hour plans for each persona.
- Foundations Learning Path — Start here if you have no background.
- Control Theory & Robotics Path — For people who work on control systems.
- Biomechanics & Motor Control Path — For biology and movement science.
- Golf Science Path — For golf-specific uses.
Citation
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