# ODE-1 · Course and Exam Prep A guided knowledge base for the TAU Ordinary Differential Equations 1 course (Spring 2026), built from the course's lecture notes, homework sheets, and past-exam material. > [!tip] Start here > **[[The Plan]]** is the one study route: W01 → W12, with concepts, questions, and a > checkpoint for every week. > > New here? Read [[How to Use This Vault]] once, then return to [[The Plan]]. On the > website, checkmarks show the last published vault state; durable progress stays in > Obsidian. ## Quick tools - **Recall and look up** — [[The ODE Dictionary]] · [[Formula Sheet]] · [[Textbook Map]] - **Practice for the exam** — [[Exam Dashboard]] · [[Final Exam Strategy]] · [[Past Exams]] - **Orient and repair** — [[How to Use This Vault]] · [[My Mistakes - Overview]] · [[Course Info]] ## Course at a glance ```mermaid graph LR W1[W1 Intro to ODEs] --> W2[W2 Separable and linear] W2 --> W3[W3 Vector fields] W3 --> W4[W4 Integrating factor] W4 --> W5[W5 A-priori estimates] W5 --> W6[W6 Constant coefficients] W6 --> W7[W7 General linear systems] W7 --> W8[W8 Higher-order equations] W8 --> W9[W9 Parameters] W9 --> W10[W10 Stability] W10 --> W11[W11 Equilibria and orbits] W11 --> W12[W12 Limit sets] classDef firstorder fill:#3b82f6,color:#fff classDef geometric fill:#22c55e,color:#fff classDef apriori fill:#ef4444,color:#fff classDef linear fill:#a855f7,color:#fff classDef parameters fill:#eab308,color:#000 classDef stability fill:#f97316,color:#fff classDef asymptotic fill:#06b6d4,color:#fff class W1,W2 firstorder class W3,W4 geometric class W5 apriori class W6,W7,W8 linear class W9 parameters class W10 stability class W11,W12 asymptotic ``` ### Seven themes 🔵 [[Theme - First-Order Equations]] · 🟢 [[Theme - Geometric Theory]] · 🔴 [[Theme - A-Priori Estimates]] · 🟣 [[Theme - Linear Theory]] · 🟡 [[Theme - Dependence on Parameters]] · 🟠 [[Theme - Stability Theory]] · 🩵 [[Theme - Asymptotic Dynamics]] ### The 12 weeks [[W01 Introduction to ODEs]] · [[W02 Autonomous, Separable and Linear Equations]] · [[W03 Vector Fields and Hamiltonian Equations]] · [[W04 Integrating Factor]] · [[W05 A-Priori Estimates]] · [[W06 Systems with Constant Coefficients]] · [[W07 General Linear Systems]] · [[W08 Higher-Order Linear Equations]] · [[W09 Dependence on Parameters]] · [[W10 Stability]] · [[W11 Equilibria and Closed Orbits]] · [[W12 Limit Sets]] > [!info]- Using this vault in Obsidian > The website already includes the course colors. When reading the vault locally, enable > **Settings → Appearance → CSS snippets → `ode-theme`** for the same definition, > theorem, method, trap, solution-step, and answer colors. ## What this course includes - **64 concept notes** — definitions, theorems, and methods, each with a quick-check and flashcards - **100 current-course questions** — statement → approach → staged solution with a next-move check - **83 historical problems** — drawn from 15 paper cohorts spanning 2021–2025 - **Interactive study aids** — click-to-reveal flashcards, sorters, quizzes, and progressively revealed solutions > [!warning] How much of this is AI-written — read before you trust a solution > **96 of the 183 worked solutions are AI-drafted or reconstructed**, each marked > **⚠ AI-drafted** at the top of its page: HW 9, HW 12, the sample midterm and final, every > past-exam paper except **2024 Moed A and 2024 Moed B** (which ship official solutions), > plus the officially distributed AI-origin solution to [[HW03.P8]]. Problem > *statements* usually come from question papers; four historical cohorts are reconstructed > from solution scans and explicitly flagged. The solutions on AI-drafted pages are not > official course material. [[Past Exams]] lists provenance paper by paper. The other > **87** solutions follow the official solutions, with visible corrections where noted.