International STEM Teaching & Curriculum Architecture
Bridging theoretical STEM education with production-grade software engineering. As an international educator and curriculum architect, I have developed 10 reproducible, open-source algorithmic laboratories that translate complex Olympiad computer science, calculus, coordinate geometry, biophysics, and quantum mechanics into test-verified Python engines.
Interactive computer science learning platform with 8 conceptual modules covering Boolean algebra simplification, finite-state automata (FSA) visualization, graph shortest path routing, and bitwise assembly tracing.
- >Boolean Algebra Simplifier (AND, OR, XOR, NOT logic trees)
- >Finite-State Automata (FSA) State Transition Simulator
- >BFS/Dijkstra Shortest Path Graph Routing Engine
- >Assembly Language Virtual Machine Register Tracing
State-tracking simulation playground testing warehouse routing invariants, card table game mechanics, grid rotation transformations, and Numbrix spiral matrix walking.
- >Warehouse Routing Simulation with Detour Cost Verification
- >90° Clockwise 2D Grid Matrix Transposition & Reflection
- >Spiral Matrix Generator (Numbrix & Matrix Walk Invariants)
A 12-section structured Python curriculum teaching file I/O, csv.DictReader parsing, 2D array manipulations, exception handling, and OOP leaderboard ranking systems without exposing student records.
- >csv.DictReader Stream Parsing & Validation
- >Leaderboard Multi-Key Sorting & Ranking Calculation
- >Statistical Aggregators (Mean, Median, Standard Deviation)
Object-oriented algorithm implementations covering Binary Search Tree (BST) traversals, BFS/DFS graph search, dynamic programming memoization (Fibonacci/Knapsack), and trace table generators.
- >Recursive Binary Search Tree Inorder/Preorder Traversals
- >Dynamic Programming Memoization Engine for Exponential Recursion
- >Trace Table Generator for Algorithm State Verification
Calculus Interactive Studio & Proof Engine
Numerical calculus laboratory approximating definite integrals via left, right, midpoint, and trapezoidal Riemann sums, alongside Taylor polynomial convergence engines for trigonometric and exponential functions.
- >Trapezoidal and Left/Right Riemann Sum Integration Approximator
- >Taylor Series Polynomial Convergence Calculator (sin, cos, exp)
- >Numerical Derivative Secant Line Limit Evaluator
Interactive coordinate geometry engine calculating subtended angles and dynamically verifying 8 classical circle theorems (Thales semicircle theorem, cyclic quadrilaterals, alternate segment theorem).
- >Center Angle vs Circumference Angle Verification (2:1 Ratio)
- >Cyclic Quadrilateral Opposite Angle Supplementarity (180° Sum)
- >Intersecting Chords Theorem Product Verification (AE * EB = CE * ED)
Conics, Complex Numbers & 3D Vectors Lab
Mathematical solver and calculation engine for conic sections (eccentricity, foci, directrix), complex roots of unity via De Moivre's theorem, and 3D vector dot/cross products.
- >Ellipse & Hyperbola Eccentricity, Focal Distance, and Area Engine
- >3D Vector Dot Product, Cross Product, and Orthogonality Calculator
- >De Moivre's Theorem Roots of Unity Evaluator
Topic-balanced mock exam generator and weak-topic analytics engine using independently authored biology olympiad questions across Genetics, Cell Biology, Plant Physiology, and Ecology.
- >Topic-Balanced Randomized Mock Exam Generator
- >Diagnostic Weak-Topic Accuracy Evaluator
- >Mendelian & Dihybrid Phenotypic Ratio Calculator
Biochemical simulation engine modeling active transport stoichiometry (Na+/K+ ATPase ATP consumption) and Nernst equilibrium potentials across mammalian neuronal membranes.
- >Active Transport ATP Cost Stoichiometry Calculator
- >Nernst Electrochemical Equilibrium Potential Evaluator (mV)
- >Organelle Metabolic Balance Comparator
Physics Systems & Electromagnetic Simulator
Numerical physics simulation engine calculating Faraday electromagnetic induction EMF rates, RLC circuit resonance impedance curves, photoelectric kinetics, and de Broglie matter wavelengths.
- >Faraday Magnetic Flux Induction EMF Rate Calculator
- >RLC Series Circuit Resonant Frequency & Phase Impedance Engine
- >Photoelectric Effect Maximum Kinetic Energy & Work Function Solver
- >De Broglie Matter Wavelength Quantum Estimator
All teaching laboratories are released under the MIT License with 100% original code. Zero proprietary textbooks, exam booklets, or student identifiers are embedded within any public repository.