Great Year Weeks 13-24
Moving into Weeks 13–24, the curriculum shifts from the singular to the complex.
In math and physics, we move from the study of objects in isolation to the study of Fields, Fluids, and Multivariable Systems. In Web Development, we transition from the browser (Frontend) to the server and database (Backend).
Month 4: Gravity, Hellenism, and the Data Stack
| Week | Algebra/Trig | Calculus (Vol 1/2) | Physics (Vol 1) | Full-Stack Web Dev | History & Mythology | Python (Data) |
- | Week 13 |
- Matrix Algebra | Inverse Trig Deriv | Gravitation | React Hooks (State) | Kingdom of David | Pandas: DataFrames |
- | 14 | Determinants | L’Hôpital’s Rule | Kepler’s Laws | React Context API | Hellenistic Greece | Data Cleaning |
- | 15 | Vector Dot Prod | Integration: Parts | Fluid Statics | Next.js Routing | Rise of Rome | API Integration |
- | 16 | Vector Cross Prod | Trig Substitution | Fluid Dynamics | Next.js Auth | Christian Origins | Scipy: Statistics |
Key Weekly Challenges
* Week 13: Calculate the gravitational force between two planetary bodies using F = G \frac{m_1 m_2}{r^2}.
* Week 15: Build a dynamic navigation system in Next.js using the App Router.
* Week 16: Analyze the transition from Roman Polytheism to the rise of Monotheism.
Month 5: Thermodynamics, The Silk Road, and Deployment
| Week | Algebra/Trig | Calculus (Vol 2) | Physics (Vol 1) | Full-Stack Web Dev | History & Mythology | Python (Systems) |
|—|—|—|—|—|—|—|
| 17 | 3D Lines/Planes | Partial Fractions | Temp & Heat | Tailwind CSS | Qin/Han China | List Comprehension |
| 18 | Quadric Surfaces | Improper Int. | 1st Law Thermo | TypeScript Intro | Three Kingdoms | Decorators |
| 19 | Cylindrical Coord | Arc Length | Kinetic Theory | TS Interfaces | Asuka Period Japan | RegEx (re) |
| 20 | Spherical Coord | Surface Area | 2nd Law Thermo | Docker Basics | Viking Expansion | Generators |
Key Weekly Challenges
* Week 18: Implement a Type-safe interface in a TypeScript project to handle API responses.
* Week 19: Use Calculus to find the arc length of a parabolic trajectory.
* Week 20: Containerize your Day 15 Next.js application using Docker.
Month 6: Electromagnetism and The Medieval Transition
| Week | Algebra/Trig | Calculus (Vol 3) | Physics (Vol 2) | Full-Stack Web Dev | History & Mythology | Python (Dev) |
|—|—|—|—|—|—|—|
| 21 | 3D Review | Multivar Limits | Electric Charge | GraphQL Intro | Abbasid Caliphate | OOP: Inheritance |
| 22 | Parametric Eq. | Partial Derivs | Electric Fields | Apollo Client | Celtic/Arthurian | OOP: Polymorph |
| 23 | Polar Calculus | Chain Rule (3D) | Gauss’s Law | Redis Caching | Gupta Empire India | PyTest: Unit Tests |
| 24 | Master Review | Lagrange Mult. | Electric Potential | CI/CD Pipelines | Classical Review | Final Refactoring |
Key Weekly Challenges
* Week 21: Begin University Physics Volume 2; calculate the force between point charges using Coulomb’s Law.
* Week 22: Use Partial Derivatives to find the slope of a 3D surface in a specific direction.
* Week 24: Automate your deployment process using a GitHub Actions CI/CD pipeline.
Synthesis Briefing: Weeks 13–24
* Math/Physics Integration: In Week 15/16, you will use the Vector Cross Product to calculate torque and angular momentum in fluid systems.
* History/Mythology Focus: This quarter covers the “Imperial Era,” where mythology becomes codified into state religions (Rome, Han China, the Caliphate).
* Python/Web Integration: You will begin using Python for the “Logic Layer,” fetching data from the APIs you build in the Web Dev track.
Would you like to continue to the detailed reading list for Weeks 25–36, or would you like to focus on the Day 3 Deep Dive for Week 1?