Categories
Math for Fluid Mechanics
Vector calculus to asymptotics, mastered for real
Linear Algebra
Vector spaces to the SVD
Multivariable & Vector Calculus
Gradients, flux, and the big three theorems
Ordinary Differential Equations
Model, solve, and read the phase plane
Partial Differential Equations
Heat, waves, and Laplace, solved
Complex Analysis
Contours, residues, and conformal maps
Numerical Methods
For when closed form runs out
Probability & Stochastic Processes
Randomness, quantified
Fluid Mechanics
From continuity to Navier-Stokes, properly
Advanced Fluid Mechanics
Turbulence, boundary layers, and compressible flow
Solid Mechanics
Stress, strain, and why structures hold
Classical Dynamics
Newton to Lagrange to Hamilton
Continuum Mechanics
One framework for solids and fluids
Vibrations & Structural Dynamics
Resonance, modes, and staying standing
Aerodynamics
Lift, drag, and the compressible world
Thermodynamics
Energy, entropy, and what is possible
Heat & Mass Transfer
Conduction, convection, radiation, mastered
Combustion
Flames, fuels, and reacting flows
Energy Systems Engineering
Power cycles to grids, engineered
Electromagnetism
Maxwell's equations, start to finish
Circuits & Electronics
From Kirchhoff to working hardware
Signals & Systems
Fourier, Laplace, and the LTI world
Optics & Photonics
Light, from rays to lasers
Acoustics
Sound, vibration, and wave propagation
Quantum Mechanics I
States, operators, and the Schrödinger equation
Quantum Mechanics II
Perturbation, spin, and scattering
Statistical Mechanics
From microstates to thermodynamics
Special & General Relativity
Spacetime, bent and understood
Solid State Physics
Crystals, bands, and why materials work
Scientific Computing
Floating point to fast solvers
Computational Fluid Dynamics
Navier-Stokes meets the mesh
Finite Element Analysis
Weak forms to working models
Machine Learning for Scientists & Engineers
Machine learning with physics in mind
Optimization
Convexity, constraints, and algorithms
Physical Chemistry
Thermo and quantum for molecules
Transport Phenomena
Momentum, heat, and mass, unified
Materials Science
Structure, properties, performance
Reaction Engineering
Kinetics to reactor design
Polymer Physics
Chains, networks, and soft matter
Control Theory
Feedback that keeps systems honest
Dynamical Systems & Chaos
Stability, bifurcations, and chaos
Robotics Fundamentals
Kinematics, dynamics, and control
Systems Engineering
Complexity, managed end to end
Biomechanics
The body as a mechanical system
Biofluid Mechanics
Blood, breath, and biological flow
Geophysical Fluid Dynamics
Rotating, stratified planetary flow
Atmospheric & Ocean Dynamics
The physics of weather and climate