Mapping Nexus
Mapping what you understand today to the foundations you will need tomorrow
What is Mapping Nexus?
Mapping Nexus is the engine that sits at the center of Mapping Our Thoughts. It models concepts, prerequisites, and levels of understanding so that we can see where someone is today and compute clear paths to the foundations required for the problems they want to solve. Instead of treating topics as a flat list, Nexus captures how ideas depend on one another and uses that structure to guide learning and application.
Platform Features
Concept Explorer
Browse core ideas in mathematics, computer science, physics, control systems, and systems engineering. See clean definitions, key examples, and the role a concept plays inside larger topics and problems.
Prerequisite View
Start from any topic you care about and work backward. Mapping Nexus shows which ideas it depends on, where gaps are likely to appear, and which foundational topics should be mastered first.
Foundational Libraries
Access curated collections of explanations and problems that focus on the underlying ideas, not just rote procedures. Each library is organized around the structure of the subject so you can build depth instead of memorizing steps.
Readiness Checks
Use short, targeted checks to see if your foundations are strong enough for a given topic. Nexus highlights which ideas are solid, which are fragile, and which need focused practice before you move on.
Cross Domain Links
Discover how a single idea can appear in many places. See how concepts from algebra show up in control theory, how probability informs cybersecurity, and how physics and computing meet in simulation work.
Progress Over Foundations
Track growth in terms of ideas you have truly understood, not just courses completed. Nexus records which concepts you have strengthened and which remain open, so you can see your foundations evolve over time.
How Mapping Nexus Works
Build Foundations
Begin by strengthening your core understanding with EduMentor. As you work, Nexus records which concepts you have seen and how well you understand them, building a picture of your current foundations.
Map What Comes Next
Nexus compares your current understanding with the structure of the disciplines. It identifies missing prerequisites, highlights fragile areas, and proposes a sequence of concepts, examples, and problems that will move you from where you are to where you need to be.
Apply and Grow
As you work through problems, projects, and challenges, Nexus updates its view of your foundations and adjusts the path. Over time, you build the depth needed to contribute to real problems, not just pass a single course or exam.
Ready to explore Mapping Nexus?
Mapping Nexus is in active development. We are shaping it with the same care we bring to our research in mathematics, computer science, physics, control systems, and systems engineering.