Core Mathematics & Physics Disciplines
From fundamental calculus to advanced classical dynamics and theoretical physics.
Advanced Mathematics
Calculus, Linear Algebra & Analysis
Comprehensive support for single & multivariable calculus, linear transformations, and ordinary/partial differential equations used in real-world modeling.
- Calculus I-III: Limits, derivatives, integration, vector calculus, line integrals, Stokes' Theorem.
- Linear Algebra: Vector spaces, matrix operations, eigenvalues/eigenvectors, SVD.
- Differential Equations: First/second order ODEs, systems of ODEs, Fourier transform applications.
- Discrete Math & Logic: Proof techniques, graph theory, combinatorics for CS.
Physics & Theoretical Foundations
Mechanics, Electromagnetism & Waves
Empowering students to solve complex physical problems through mathematical rigor and conceptual clarity.
- Classical Mechanics: Newtonian dynamics, energy/momentum conservation, rotational motion, Lagrangian formulation.
- Electromagnetism: Electrostatics, Maxwell's equations, magnetic fields, electromagnetic waves.
- Thermodynamics & Optics: Laws of thermodynamics, kinetic theory, wave interference, diffraction.
- Quantum Principles: Wave-particle duality, Schrödinger equation basics, atomic structures.
Our Teaching Framework
We move beyond rote memorization. Our approach emphasizes deep intuitive understanding combined with rigorous mathematical execution.
First-Principles Derivation
Learn how core formulas are derived so you can tackle non-standard exam and real-world engineering problems.
Problem-Solving Strategies
Develop structured frameworks for breaking complex physics and multi-step calculus problems into manageable parts.
Dual-Language Support
Instruction available in English, Japanese, Cantonese, or Mandarin to match your primary academic language.