Topics: transformers, phasors, network equations, three-phase circuits, single-phase, per unit system, transmission line parameters, transmission line design, power flows, faults, sequence networks, system protection, Transient stability, power distribution, smart grids

Topics: Real Numbers, Mathematical Induction, Mathematical Conventions, Complex Numbers, Taylor Theorem, Maclaurin Theorem, Vectors, Vector Spaces, Matrices, linear equation, Echelon, Eigen, Differential equations, fourier series, Laplace transform, vector calculus, complex analysis, bernoulli, riccati, cauchy-euler, Gamma function, frobenieus method, bessel function, Fourier integrals, Fourier transform, Vector Differential Calculus, Vector Integral Calculus, analytic functions, complex intergration, laurent series

Topics: Optics, Light, Vision, The Geometric Behavior Of Light, Optical Objects, Images, Thin Lenses, Ray Diagrams, Thin Lens Equations, Thin Lens Eye Models, Single Spherical Refracting Interfaces, Plane Refracting Interfaces, Reduced Systems, Lenses, Astigmatism: On Axis, Prisms, Prism Properties Of Lenses, Prism, Dioptric Power In Off-Axis Meridians, Reflection, The Gauss System, System Matrices, Angular Magnification, Spectacle Magnification, Relative Spectacle Magnification, Stops, Aberrations, Waves, Superposition, Diffraction, Scattering, Absorption, Dispersion, Polarization, Emission, Absorption, Photons, Lasers, Spatial Distribution Of Optical Information

Topics: Fluid Mechanics, Fluid-Flow Phenomena, Equations of Fluid Flow, Flow of Incompressible Fluids, Flow of Compressible Fluids, Flow past immersed bodies, Transportation of fluids, Metering of fluids, Agitation of liquids, mixing of liquids, Heat transfer, heat flow in fluids, Heat transfer to fluids without phase change, Heat transfer to fluids with phase change, Radiation heat transfer, Heat exchange equipment, Evaporation, Equilibrium stage operations, Distillation, multicomponent distillation, Leaching, Extraction, Diffusion, Mass Transfer between Phases, Gas Absorption, Humidification Operations, Drying of Solids, Adsorption, Membrane Separation Processes, Crystallization, Properties of Particulate Solids, Handling of Particulate Solids, Mixing of Particulate Solids, Mechanical Separations

Topics: Conduction, Steady-State Conduction, Transient Conduction, Convection, external flow, internal flow, free convection, boiling, condensation, heat exchanger, radiation, diffusion mass transfer, Thermophysical Properties of Matter, Convection Transfer Equations

Topics: Conduction, Steady-State Conduction, Transient Conduction, Convection, external flow, internal flow, free convection, boiling, condensation, heat exchanger, radiation, diffusion mass transfer, Thermophysical Properties of Matter, Convection Transfer Equations

Topics: Electromagnetic Model, Vector analysis, Static electric field, Electrostatics, steady electric current, static magnetic fields, Varying Fields, Maxwell's Equations, Plane Electromagnetic Waves, Theory and Applications of Transmission Lines, Waveguides, Cavity resonators, Antennas, Radiating system

Topics: Electromagnetic Model, Vector analysis, Static electric field, Electrostatics, steady electric current, static magnetic fields, Varying Fields, Maxwell's Equations, Plane Electromagnetic Waves, Theory and Applications of Transmission Lines, Waveguides, Cavity resonators, Antennas, Radiating system

Topics: Fluid Statics, Basic Equations in Integral Form for a Control Volume, Angular-Momentum Principle, Differential Analysis of Fluid Motion, Incompressible Inviscid Flow, Dimensional Analysis, Similitude, Internal Incompressible Viscous Flow, External Incompressible Viscous Flow, fluid machinery, flow in open channels, compressible flow, fluid property data

Topics: measure theory, independence, integral, moments, laws of large numbers, convergence theorem, Lp-Spaces, Radon–Nikodym Theorem, Conditional Expectations, martingale, optional sampling theorem, Martingale Convergence Theorem, Backwards Martingale, exchangeability, De Finetti's theorem, convergence of measures, Characteristic Function, Central Limit Theorem, Infinitely Divisible Distribution, markov chains, Electrical Network, Ergodic Theory, Brownian motion, iterated logarithm, large deviations, Poisson point process, Itô Integral, Stochastic Differential Equations