Licence professionnelle Smart Cities · Unit MTU1.1 · Semester 1 · 45 h · 3 credits · coefficient 2 · taught in English
A city is a dataset you can walk through. Streets are graphs, blocks are polygons, every bus stop is an optimisation problem. This module trains you to read the city with mathematics, then to improve it. Each week: 1h30 lecture in the amphi and 1h30 TD in groups. Every TD exercise has a twin in the street, on Google Maps or on your phone.
Start here
- Read the syllabus
- Opening lecture: Let's measure our city
- Keep the Algebra and Trigonometry reference at hand
Line G · Chapter 1 · Urban Geometry (weeks 1 to 3)
| Interactive page | Chapter 1 interactive (ZIP): download, right-click, Extract, then open index.html in Chrome |
| TD | Exercise Sheet 1 |
| Starter kit | References, tricks and glossary (EN · FR · AR). |
Line L · Chapter 2 · Linear Algebra for Urban Networks (weeks 5 and 6)
| Interactive page | Chapter 2 interactive: download, then open it in Chrome |
| TD | Exercise sheets: TD1 · Arrows and tables (week 5) · TD2 · Balancing the water (week 6, graded part) |
| Read |
Week 5: 10.8 Vectors · 7.5 Matrices Week 6: 7.1 Systems of two equations · 7.8 Cramer's rule (OpenStax, free) |
| Go further | Barabási, Network Science, chapter 2: sections 2.1, 2.3, 2.4 and 2.8 |
Coming next
Line O · Optimisation · Line P · Integrated Project · Review and exam
Offered:
2026