Engineering & math calculators, articles, and locally-reproduced research.

Each calculator implements one homework-problem pattern with full derivation and test cases. Each simulation re-runs a scholarly paper locally — equations extracted by an LLM, solved with open-source numerics, and graded against the paper's own claims.

• Aircraft Propulsion
  9 calculators44 articles42 videos· aerospace
• Spacecraft-Design
  50 articles45 videos
• Engineering-Optimization
  52 articles37 videos
• Calculus
  86 articles1 video
• Kinematics
  70 articles
• Integration
  65 articles
• Electric Circuits
  6 calculators37 articles15 videos· ee
• Mechanics
  57 articles
• Physics
  48 articles4 videos

• Improper Integral Convergence by p-Test
  calculus cal 2 · 6 tests
• Area Between Curves
  calculus cal 2 · 2 tests
• Average Value Of Function
  calculus cal 2 · 2 tests
• Convergence Of Integrals
  calculus cal 2 · 2 tests
• Definite Integral Evaluation
  calculus cal 2 · 2 tests
• Distance Traveled
  calculus cal 2 · 2 tests
• Tangent Line Equation
  calculus cal 2 · 2 tests
• Volume Of Revolution
  calculus cal 2 · 2 tests
• Distance To Subspace
  linear algebra · 2 tests

Scholarly papers we re-implemented locally. Equations extracted by an LLM, simulated with open-source backends (SciPy / SymPy / Mesa / PyBaMM / SimPy / OpenMM / Rebound), and graded for fidelity against the paper's own claims. Where the paper compares an intervention to a baseline, both arms run and the delta is reported.

• Extreme rotational events in a forced-damped nonlinear pendulum
  ODET3fidelity 0.05
• Equivalence of Mass Action and Poisson Network SIR Epidemic Models
  ODET3fidelity 0.05vs. high-degree-poisson-network
  epidemiology, network disease dynamics
• Asymptotically Optimal Appointment Scheduling in the Presence of Patient Unpunctuality
  Discrete-eventT2fidelity 0.05vs. laplace-vs-normal-unpunctuality
  healthcare operations / appointment scheduling
• The Lotka-Volterra Predator-Prey Model with Disturbance
  ODET2fidelity 0.00
• Heterogeneous RBCs via Deep Multi-Agent Reinforcement Learning
  Agent-basedT2vs. heterogeneous-agents
  macroeconomic agent-based modelling
• BESTOpt: A Modular, Physics-Informed Machine Learning based Building Modeling, Control and Optimization Framework
  Agent-basedT3
  building energy systems and control

• Aero Structures 1: Applications to Engineering Problems
  aero-structures-1beam-theorythin-walled-structuresstructural-analysis
• Aero Structures 1: Underlying Assumptions and Validity Regimes
  aero-structureselasticitybeam-theorythin-walled-sections
• Aero Structures 1: Real-World Engineering Case Studies
  aero-structures-1structural-analysiselasticitybeam-theory
• Aero Structures 1: Common Mistakes and Misconceptions
  aero-structures-1structural-analysisbeam-theoryelasticity

• aero structures 1 pitfalls debugging
  Explainer · structural-analysis
• spacecraft design v diagram requirements traceability
  Explainer · spacecraft-design
• spacecraft design review checkpoints v diagram
  Explainer · spacecraft-design
• spacecraft design ii historical development context
  Explainer · spacecraft-design
• spacecraft design ii foundations first principles
  Explainer · spacecraft-design
• spacecraft design geometric physical intuition
  Explainer · spacecraft-design