Economics · Network Science · Mathematics · Artificial Intelligence
Hanyang University · 한양대학교
An open archive of course materials I write as I study, arranged like a university course catalog. Four departments — Economics, Physics · Network Science, Mathematics, and Artificial Intelligence — each have their own tech tree of prerequisites and their own catalog that separates what is published, in progress, and planned. Finished courses are published as web books you can read in the browser.
공부하며 만드는 강의 자료의 공개 아카이브를, 대학 수강편람처럼 정리했습니다. 경제학 · 물리학(네트워크 과학) · 수학 · 인공지능 네 학과가 각자 선수과목 테크트리와, 게시됨·제작 중·예정을 구분한 카탈로그를 갖습니다. 완성된 강의는 웹 교재로 게시되어 바로 읽을 수 있습니다.
Legend · 범례 🟩 Published · 게시됨 | 🟨 In progress · 제작 중 | ⬜ Planned · 예정(TBD) | ⟿ dashed node = prerequisite from another department · 타 학과 선수과목
Departments · 학과 🟦 Economics · 🟪 Physics · Network Science · 🟩 Mathematics · 🟧 Artificial Intelligence
From principles to computational and network economics. · 원론에서 계산·네트워크 경제학까지.
graph TD
classDef done fill:#2da44e,stroke:#1a7f37,color:#ffffff;
classDef wip fill:#bf8700,stroke:#9a6700,color:#ffffff;
classDef todo fill:#eaeef2,stroke:#afb8c1,color:#24292f;
classDef ext fill:#ffffff,stroke:#afb8c1,stroke-dasharray:4 3,color:#57606a;
C100["ECON 100 · Python for Economists"]:::done
C101["ECON 101 · Principles of Economics"]:::done
C201["ECON 201 · Microeconomic Theory"]:::todo
C202["ECON 202 · Macroeconomic Theory"]:::todo
C301["ECON 301 · Econometrics"]:::todo
C311["ECON 311 · Game Theory"]:::todo
C320["ECON 320 · Industrial Organization"]:::todo
C401["ECON 401 · Time-Series Analysis"]:::todo
C410["ECON 410 · Network Economics"]:::todo
C510["ECON 510 · Math for Economists"]:::wip
C520["ECON 520 · Mathematical Economics"]:::todo
Xm1["MATH ⟿ Probability / Linear Algebra"]:::ext
Xn1["NETS 301 ⟿ Network Science"]:::ext
C101 --> C201
C101 --> C202
C201 --> C311
C201 --> C320
C201 --> C301
C202 --> C301
Xm1 --> C301
C301 --> C401
C100 --> C510
Xm1 --> C510
C510 --> C520
C201 --> C520
C201 --> C410
Xn1 --> C410
The statistical physics and mathematics of networks — my bridge from economics toward AI. · 네트워크의 통계물리와 수학, 경제학에서 AI로 가는 다리.
graph TD
classDef done fill:#2da44e,stroke:#1a7f37,color:#ffffff;
classDef wip fill:#bf8700,stroke:#9a6700,color:#ffffff;
classDef todo fill:#eaeef2,stroke:#afb8c1,color:#24292f;
classDef ext fill:#ffffff,stroke:#afb8c1,stroke-dasharray:4 3,color:#57606a;
N301["NETS 301 · Mathematics of Network Science"]:::wip
N310["NETS 310 · Statistical Physics for Networks"]:::todo
N320["NETS 320 · Complex Systems and Random Graphs"]:::todo
N330["NETS 330 · Dynamical Processes on Networks"]:::todo
N410["NETS 410 · Network Economics"]:::todo
Xm2["MATH ⟿ Linear Algebra / Probability"]:::ext
Xa2["AI 410 ⟿ Graph Neural Networks"]:::ext
Xm2 --> N301
N310 --> N320
N301 --> N320
N301 --> N330
N301 --> N410
N301 --> Xa2
| Code | Course · 강의 | Prereq · 선수 |
|---|---|---|
| 🟨 In progress · 제작 중 | ||
NETS 301 | Mathematics of Network Science · 네트워크 과학의 수학 (64p textbook) | MATH 110 · MATH 120 |
| ⬜ Planned · 예정 (TBD) | ||
NETS 310 | Statistical Physics for Networks · 네트워크 통계물리 | MATH 120 |
NETS 320 | Complex Systems and Random Graphs · 복잡계와 랜덤그래프 | NETS 301 · NETS 310 |
NETS 330 | Dynamical Processes on Networks · 네트워크 동역학 (epidemics, percolation) | NETS 301 |
NETS 410 | Network Economics · 네트워크경제학 (cross-listed ECON 410) | NETS 301 · ECON 201 |
The proof-level foundation that everything else stands on. · 다른 모든 것이 딛고 서는 증명 수준의 기초.
graph TD
classDef done fill:#2da44e,stroke:#1a7f37,color:#ffffff;
classDef wip fill:#bf8700,stroke:#9a6700,color:#ffffff;
classDef todo fill:#eaeef2,stroke:#afb8c1,color:#24292f;
classDef ext fill:#ffffff,stroke:#afb8c1,stroke-dasharray:4 3,color:#57606a;
M100["MATH 100 · HS to Calculus Bridge"]:::todo
M101["MATH 101 · Calculus"]:::wip
M201["MATH 201 · Real Analysis"]:::wip
M110["MATH 110 · Linear Algebra"]:::todo
M120["MATH 120 · Probability and Statistics"]:::todo
M210["MATH 210 · Differential Equations"]:::todo
Xout["⟿ feeds ECON · NETS · AI"]:::ext
M100 --> M101
M101 --> M201
M101 --> M210
M101 --> M120
M110 --> Xout
M120 --> Xout
M201 --> Xout
| Code | Course · 강의 | Prereq · 선수 |
|---|---|---|
| 🟨 In progress · 제작 중 | ||
MATH 101 | Calculus · 미적분학 (14-week, SymPy-verified) | MATH 100 |
MATH 201 | Real Analysis · 해석학 (completeness to Taylor to Euler) | MATH 101 |
| ⬜ Planned · 예정 (TBD) | ||
MATH 100 | HS to Calculus Bridge · 고교수학 가교 | — |
MATH 110 | Linear Algebra · 선형대수학 | — |
MATH 120 | Probability and Statistics · 확률통계 | MATH 101 |
MATH 210 | Differential Equations · 미분방정식 | MATH 101 |
Data foundations up to graph neural networks, where this all converges. · 데이터 기초에서 그래프 신경망까지, 모든 갈래가 모이는 곳.
graph TD
classDef done fill:#2da44e,stroke:#1a7f37,color:#ffffff;
classDef wip fill:#bf8700,stroke:#9a6700,color:#ffffff;
classDef todo fill:#eaeef2,stroke:#afb8c1,color:#24292f;
classDef ext fill:#ffffff,stroke:#afb8c1,stroke-dasharray:4 3,color:#57606a;
D100["AI 100 · SQLP Certification"]:::wip
D110["AI 110 · Data Analysis with pandas"]:::todo
A200["AI 200 · AI-Assisted Learning"]:::todo
A301["AI 301 · Machine Learning"]:::todo
A310["AI 310 · Deep Learning with PyTorch"]:::todo
A410["AI 410 · Graph Neural Networks"]:::todo
Xpy["ECON 100 ⟿ Python"]:::ext
Xm3["MATH ⟿ Linear Algebra / Probability"]:::ext
Xn3["NETS 301 ⟿ Network Science"]:::ext
Xpy --> D110
D100 --> D110
Xpy --> A200
D110 --> A301
Xm3 --> A301
A301 --> A310
A310 --> A410
Xn3 --> A410
Built with · Quarto, Jupyter Book, and MyST, published on GitHub Pages. Code and proofs are checked with Python (SymPy, NumPy, NetworkX, pandas) and typeset in LaTeX. · Quarto·Jupyter Book·MyST로 작성하고 GitHub Pages에 게시. 코드·증명은 Python으로 검증, 수식은 LaTeX.
Open to collaboration on network analysis, computational economics, and related work — voidmain443@gmail.com. · 네트워크 분석·계산경제학 협업 환영.