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← Dynamic Systems Engineering Foundations · Semester 1, Week 12

Capstone: Building and Validating a Dynamic Systems Model

Theme

The purpose of the capstone is to demonstrate mastery of the Dynamic Systems Engineering methodology. Students are no longer analyzing prepared examples. They must select an unfamiliar system, develop a model, identify important variables, reason about causes, design improvements, validate predictions, and preserve their findings as a structured knowledge artifact. The objective is not simply to produce an answer. The objective is to demonstrate a reliable process for building knowledge.

Learning Objectives

By the end of the capstone, students should be able to:

Capstone Requirements

Students select a dynamic system from any domain — artificial intelligence, education, transportation, healthcare, business, economics, ecology, manufacturing, sports, human behavior, or social systems. The chosen system must contain: multiple interacting variables, change over time, feedback, uncertainty, and opportunities for improvement.

Phase 1 — System Definition
Identify the system: name, purpose, function, users or stakeholders, environment. Define the boundary: what's included, what's excluded, why this boundary was chosen, and how changing it would change the analysis.
Phase 2 — State Analysis
Observable variables — information that can be directly measured (temperature, revenue, speed, test scores, user behavior). Hidden variables — important variables that cannot be directly observed (motivation, future demand, internal system conditions, user intent). Essential variables — variables that must remain within acceptable limits for the system to succeed; explain why each is essential, what threatens it, and how it's regulated.
Phase 3 — Causal Model
Create a causal map including inputs, outputs, causes, effects, dependencies, constraints, feedback loops, delays, and unintended consequences. Students must distinguish observation ("what happened?") from explanation ("why did it happen?").
Phase 4 — Knowledge Engineering Artifact
Create a structured knowledge artifact containing: definitions of important terms, relationships between concepts, assumptions the model depends on, evidence that supports it, remaining uncertainty, and a revision history of how understanding changed.
Phase 5 — AI Collaboration
AI may assist with brainstorming variables, finding missing perspectives, generating alternative hypotheses, identifying weaknesses, and organizing knowledge. Students must maintain responsibility for evidence evaluation, model accuracy, and final conclusions.
AI Artifact Protocol
During the project, the AI should periodically ask: "Would you like me to create an artifact summarizing the important knowledge developed so far?" If approved, the artifact should preserve concepts learned, the system model, evidence, assumptions, open questions, and revisions. The human reviews and approves important knowledge preservation.
Phase 6 — Prediction and Validation
Identify predictions (what should happen if the model is correct), measurements (how outcomes will be observed), tests (how the model will be challenged), and failure modes (where the model could fail).
Phase 7 — System Improvement Proposal
Design an intervention. The proposal must include current system weaknesses, the proposed change, expected effect, possible side effects, tradeoffs, and a validation method.

Final Deliverable

The final submission contains seven parts: (1) System Overview — description of the system and purpose; (2) Dynamic Model — variables, state, relationships, and feedback; (3) Causal Analysis — explanation of mechanisms; (4) Knowledge Artifact — structured representation of understanding; (5) Engineering Proposal — recommended improvements; (6) Validation Plan — how success will be measured; (7) Reflection — how the model changed through the engineering process.

Final Reflection Questions

Final Competency

A student completing Dynamic Systems Engineering Foundations should be able to approach a new problem and: observe reality, define a system, identify state, reason causally, model mathematically, analyze feedback, organize knowledge, use AI responsibly, test predictions, learn from failure, improve the system, and preserve knowledge. The student has learned not only how to analyze systems, but how to continuously build reliable understanding of complex reality.

Semester complete. See the Supporting Documents — Core Principles, Analysis Template, AI Artifact Specification, Research Methodology, AI Evaluation Framework, Instructor/AI Facilitator Guide, Competency Model, and Example Library — for the reusable scaffolding this capstone runs on.