Library

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🧮Understand Vector Spaces: The Rulebook Behind Linear Algebra

See why polynomials, pixel images, and 3D arrows all live in the same mathematical world — then design your own vector space of polynomials up to degree two and compute its dimension from scratch.

Foundations~2-week path · 5-8 min/day

Understand the Fundamental Theorem of Calculus

Build the Fundamental Theorem of Calculus from accumulation first — feel why differentiation undoes integration before you ever see the formal statement. You'll finish by pulling a real dataset and verifying the theorem numerically with your own code.

Applied~2-week path · 5-8 min/day

Understand Stellar Evolution: Birth to Death of a Star

Trace a star's life from collapsing gas cloud to white dwarf, neutron star, or black hole — using mass as the single rule that decides its fate.

Applied~2-week path · 5-8 min/day

⚗️Understand Chemical Bonding: Ionic, Covalent, Metallic

Stop memorizing 'ionic, covalent, metallic' as three separate labels and start seeing them as one story — atoms trading, sharing, or pooling electrons to reach stability. By day 14, you'll predict a compound's bond type from its elements and explain why salt dissolves, copper conducts, and diamond doesn't scratch.

Foundations~2-week path · 5-8 min/day

🦀Rust Lifetimes Explained

Stop reading `'a` as line noise and start reading it as scope arithmetic — one failing snippet at a time — until you can thread lifetimes through a small parser or iterator adapter without fighting the borrow checker.

Applied~2-week path · 5-8 min/day

🐍Python Decorators Introduction

Build one mental model for Python decorators that covers closures, argument passing, functools.wraps, and stacking — then ship a working caching or logging decorator from scratch in under 30 lines.

Applied~2-week path · 5-8 min/day

🇧🇷Portuguese Ser vs Estar

Stop collapsing Portuguese into Spanish ser/estar and missing the third verb entirely. Build the three-way instinct — ser for identity, estar for current state, ficar for location, becoming, and staying — and prove it by describing yourself, your home, and your week using all three the way Brazilians actually do.

Foundations~2-week path · 5-8 min/day

📈Learn the Pareto Principle (80/20 Rule)

Turn the vague '80/20 rule' into a repeatable audit you actually run — log your real week, spot the 20% that drives your results, and finish with a monthly review cadence that keeps you honest.

Foundations~2-week path · 5-8 min/day

🔵Learn Set Theory Basics: The Language Every Math Class Assumes

Stop squinting at ∪, ∩, and ∁ — shade Venn diagrams first, then translate them into clean notation, until you can model anything from music genres to probability events as sets you can actually picture.

Foundations~2-week path · 5-8 min/day

🔗Learn Habit Stacking

Install a morning routine that actually sticks by chaining new habits onto anchors you already do. Walk away with a 3-habit stack designed around your real mornings — not a fantasy schedule.

Foundations~2-week path · 5-8 min/day

🎹Learn Diatonic Chords in a Major Key

Go from guessing which chords 'sound right together' to knowing exactly why. Build the seven diatonic chords from any major scale, read the pattern that makes every pop song work, and write an 8-bar section of your own.

Foundations~2-week path · 5-8 min/day

🏛️Learn Aristotle's Virtue Ethics

Turn Aristotle's ethics from a list of noble traits into a working life project. By the end, you'll audit your own character, pick one virtue to habituate, and design a two-week practice plan.

Applied~2-week path · 5-8 min/day

Japanese Katakana Mnemonics

Lock all 46 katakana characters plus modifiers using mnemonics that build on your hiragana knowledge, then decode real Japanese menus, signs, and brand names on sight.

Foundations~2-week path · 5-8 min/day

📈Big O Intuition

Stop treating Big O as math you memorized for an interview — build the intuition to spot O(n²) disasters, pick the right data structure without thinking, and rewrite a slow function from O(n²) to O(n) in under five minutes.

Foundations~2-week path · 5-8 min/day

🎲Understand the Law of Large Numbers and Stop Misreading Randomness

Watch averages crawl toward the true mean in live simulations, catch gambler's fallacy traps at a glance, and finish by estimating pi with your own Monte Carlo dart-throw. Fourteen drops that rebuild your intuition for randomness from the ground up.

Applied~2-week path · 5-8 min/day

🚀Understand Special Relativity Without the Math

Build real intuition for special relativity from two postulates — no equations required. Walk away able to explain in one paragraph why simultaneity itself depends on who's watching.

Foundations~2-week path · 5-8 min/day

⚛️Understand Quantum Superposition Without the Hype

Strip the mysticism from quantum superposition and walk the math-light intuition from Schrödinger's cat to qubits — finishing with a one-paragraph explainer that never leans on the word 'both.'

Foundations~2-week path · 5-8 min/day

🌋Understand Plate Tectonics: Why Continents Drift

Trace one coherent story from mantle convection to boundary types to earthquakes and mountain ranges — and finish able to predict what happens when two fictional plates meet.

Foundations~2-week path · 5-8 min/day

🧬Understand DNA Replication Step by Step

Meet the enzymes of DNA replication one at a time, then draw a working replication fork from memory with leading and lagging strands correctly labeled.

Applied~2-week path · 5-8 min/day

🔁The JavaScript Event Loop

Draw the JavaScript event loop on a whiteboard from memory, then predict the output of any mixed sync/async code — and instrument a real program to prove you're right.

Applied~2-week path · 5-8 min/day

🇪🇸Spanish Reflexive Verbs

Stop drowning in the reflexive-verb list. Learn to read the 'se' — routine, change of state, reciprocal, idiomatic — and prove it by narrating your morning routine with at least eight reflexive verbs in a row.

Foundations~2-week path · 5-8 min/day

⚛️React Hooks Mental Model

Build one mental model for React hooks — each render is a snapshot, and every hook either reads from it or syncs the outside world to it — then use that model to fix stale closures, tame dependency arrays, and extract clean custom hooks from a real component.

Applied~2-week path · 5-8 min/day

🍅Learn the Pomodoro Technique

Learn the full six-step Cirillo protocol that most people skip, run four real pomodoros a day for a week while logging every interruption, then design a personalized variant that actually fits your work.

Foundations~2-week path · 5-8 min/day

🧭Learn the Eisenhower Matrix for Prioritization

Turn the Eisenhower Matrix from a whiteboard diagram into a 3-minute morning triage ritual. You'll sort your own tasks into the four boxes every day for two weeks and finish with a personal version that tells you exactly what to delegate.

Foundations~2-week path · 5-8 min/day