PROVENANCE & CURRICULUM MAP
Every unit connects to its sources.
A contents-and-selected-passages map of 20 books and 27 Notes units, not a claim of full-page review of every book. Scanned sources received visual contents checks. Lesson citations separately give verified PDF and printed pages.
Lesson citations distinguish one-based PDF pages from printed pages. Outline entries provide PDF locations only; no printed page is inferred for them.
Book text, scanned pages and third-party solutions are not distributed with the site. Models, code, case narratives and activities are original.
How the books are used
| Book | Curriculum role | Core workshops |
|---|---|---|
| A primer on mathematical models in biology (Lee A. Segel, Leah Edelstein-Keshet) 435 PDF pages | Core 1, 3; biology pathway | 01 · A tank, a boundary, a balance03 · Mechanisms become trajectories |
| Advanced Mathematical Modeling with Technology (Advances in Applied Mathematics) (Fox, William P., Burks, Robert E.) 573 PDF pages | Core 5; modeling and optimization | 05 · The assumptions behind an optimum |
| Applied Mathematics And Modeling For Chemical Engineers, Second Edition (Richard G. Rice, Duong D. Do) 397 PDF pages | Engineering methods and transport | 01 · A tank, a boundary, a balance06 · When a smooth picture lies |
| Fundamentals of Algebraic Modeling An Introduction to Mathematical Modeling with Algebra and Statistics (Daniel L. Timmons, Catherine W. Johnson etc.) 459 PDF pages | Prerequisite algebra and statistics | Prerequisite / advanced reading |
| Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations (Abba B. Gumel) 360 PDF pages | Dynamics-preserving discretizations | 03 · Mechanisms become trajectories06 · When a smooth picture lies |
| Mathematical Foundations of Deep Learning Models and Algorithms (Konstantinos Spiliopoulos etc.) 527 PDF pages | Learning-model theory pathway | 02 · A good fit, an uncertain future05 · The assumptions behind an optimum |
| Mathematical Modeling in Continuum Mechanics (Roger Temam, Alain Miranville) 354 PDF pages | Continuum and energy-balance pathway | 01 · A tank, a boundary, a balance06 · When a smooth picture lies |
| Mathematical Modeling Models, Analysis and Applications (Sandip Banerjee) 276 PDF pages | Core 6; discrete, ODE and spatial models | 03 · Mechanisms become trajectories06 · When a smooth picture lies |
| Mathematical Modelling and Simulation in Chemical Engineering (M. Chidambaram) 265 PDF pages | Core 1; chemical system boundaries | 01 · A tank, a boundary, a balance |
| Mathematical Modelling with Differential Equations (Ronald E. Mickens) 284 PDF pages | Core 3; discretization and dynamics | 03 · Mechanisms become trajectories |
| Mathematical models in biology an introduction (Elizabeth S. Allman, John A. Rhodes) 386 PDF pages | Core 2; biological curve fitting | 02 · A good fit, an uncertain future |
| Mathematical models in biology solution manual (Elizabeth S. Allman, John A. Rhodes) 81 PDF pages · Internal checking only | Internal checking only; no solution text published | Prerequisite / advanced reading |
| Mathematical Models in Developmental Biology (Stephen Childress, Jerome Kenneth Percus) 265 PDF pages | Pattern formation pathway | 06 · When a smooth picture lies |
| Mathematics of the Financial Markets Financial Instruments and Derivatives Modelling, Valuation and Risk Issues (Alain Ruttiens) 351 PDF pages | Financial modeling pathway | Prerequisite / advanced reading |
| Modeling Social Behavior Mathematical and Agent-Based Models of Social Dynamics and Cultural Evolution (Paul Smaldino) 361 PDF pages | Core 4; rules, replication and model–reality boundaries | 04 · Local choices, collective patterns |
| Neural Networks, Machine Learning, and Image Processing Mathematical Modeling and Applications (Manoj Sahni, Ritu Sahni etc.) 221 PDF pages | Applications and critical reading in learning models | Prerequisite / advanced reading |
| Option Pricing Mathematical Models and Computation (Paul Wilmott, Jeff Dewynne, Sam Howison) 234 PDF pages | Financial PDE and numerical-method pathway | 06 · When a smooth picture lies |
| 中学数学建模与赛题集锦 (上海市中学生数学知识应用竞赛组织委员会编 etc.) 244 PDF pages | Context selection and prerequisite activities | Prerequisite / advanced reading |
| 中学数学建模教与学 (卜月华等主编, 主编卜月华 , 编者卜月华 ... [等] etc.) 366 PDF pages | Scaffolding and model-formulation activities | Prerequisite / advanced reading |
| 数学建模教学研究与竞赛实践 (吕跃进主编, 吕跃进主编 , 全国大学生教学建模竞赛广西赛区组委会编, 吕跃进 etc.) 477 PDF pages | Teaching practice and reflective writing | Prerequisite / advanced reading |