Topics: abstract Algebra, linear Algebra, Sets, Cartesian products, Hausdorff maximality principle, groups, Homomorphisms, permutations, rings, domains, fields, Polynomial rings, Chinese remainder theorem, Boolean rings, matrices, matrix rings, Systems of equations, Determinants, Summands, transpose principle, Nilpotent homomorphisms, Jordan canonical form, Eigenvalues, Euclidean domains, jordan blocks, Jordan canonical form

Topics: Economics, Mathematical Models, Mathematical Economics, econometrics, Nonmathematical Economics, Algebraic Methods, Constant Function, sets, polynomial functions, rational functions, Transcendental Functions, matrix algebra, matrices, Linear-Equation System, Matrix Inversion, Cramer’s Rule, Differential Calculus, Rules of Differentiation, Integral Calculus, Indefinite Integrals, Rules of Integration

Topics: Power Systems Analysis, power system, electric power generation, fossil power plants, hydroelectric power plants, solar power, wind power plants, geothermal power, biomass power plants, fuel cell, modern power system, smart grid, energy control center, complex power, complex power balance, power factor corrrection, per phase analysis, balanced three-phase power, generator models, transformer models, per unit system, transformer performance, autotransformers, three-winding transformers, transmission line parameters, line model, line compensation, power flow analysis, bus admittance matric, Gauss-Seidel power flow solution, Newton-Raphson method, power flow programs, synchronous machine, transient analysis, unbalanced fault, stability, swing equation, transoent stability, steady-state stability, power system control, automatic generation control, load frequency control, MATLAB, frequency response, reactive power, voltage control, excitation system

Topics: Linear Models, Matrix, Algebra, simultaneous equation

Topics: Econometrics, Correlation Theory, Regression Analysis, Hypothesis Testing, Single Equation Problem

Topics: Logarithms, logarithm properties, change of base formula, Equations involving Logarithms

Topics: Oxidation, Reduction, oxygen, calculating oxidation number, Identifying Redox Reactions, balancing Redox Equations, Balancing comproportionating reaction, Oxidizing agents, Reducing agents

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: Enzymes, Enzyme kinetics, Basic concept of enzymes, Classification of enzymes, Nature of enzymes, enzyme action, enzyme-catalyzed reaction, Michaelis - Menten equation

Topics: Electrochemical cells, cell potentials, Nernst equation, Batteries, fuel cells, Electrochemical Corrosion, Electrolytic cells