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: 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: Polynomials, rational functions, linear equations, simultaenous equation, quadratic equations, remainder theorem, factor theorem, inequalities, domain range, partial fractions, curve sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, telescoping series, limits, sums to infinity, complex numbers, Aragand diagram, De Moivre's theorem, matrices, determinants, rank of a matrix, Cramer's rule, sets, vennn diagram, binary operations, real number systems

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: models, economics, Market equilibrium, tax, Sets, Functions, Graphs, equations, Sequences, Limits, first-order recurrence, elements of finance, Interest, capital growth, cobweb model, calculus, special function, Powers, exponential function, logarithm function, Trigonometrical, Elasticity of demand, 2 Profit maximisation, derivative in economics, derivatives, Matrices, Equations, Vectors, preferences, convexity

Topics: Differential Equations, Modeling, Qualitative Methods, First-Order Differential Equations, Separable First-Order Differential Equations, Exact First-Order Differential Equations, Linear First-Order Differential Equations, Linear Differential Equations, Second-Order Linear Homogeneous Differential, nth-Order Linear Homogeneous Differential Equations, Method of Undetermined Coefficients, Variation of Parameters, Initial-Value Problems, Laplace Transform, matricies, Inverse Laplace Transforms, Convolutions, Unit Step Function, power series, Series Solutions, Classical Differential Equations, Gamma Functions, Bessel Functions, Partial Differentiall Equations, Second-Order Boundary-Value Problems, Eigenfunction Expansions, Difference Equations

Topics: One-Variable Calculus, Calculus, Exponents and Logarithms, Linear Algebra, Linear Equations, Matrix Algebra, Determinants, Euclidean Spaces, Linear Independence, Limits, Open Sets, Several Variables, Implicit Functions, Quadratic Forms, Definite Matrices, Unconstrained Optimization, Constrained Optimization, Homogeneous functions, Homothetic Functions, Concave Functions, Quasiconcave Functions, Eigenvalues, Eigenvectors, Ordinary Differential Equations, ODE, O.D.E, Subspaces, Matrix, Limits, Compact Sets, Sets, Numbers, Proofs, Trigonometric Functions, Complex Numbers, Integral Calculus, Probability

Topics: Economic Model, Sets, Subsets, Numbers, Functions, Sequences, Series, Limits, Derivative, Differential, Higher Order Derivatives:, Taylor Serie, Differentiation, One Variable, Maxima, Minima, Linear Algebra, Matrices, n-Variabies, Constrained Optimization, Comparative Statics, Kuhn-Tucker Conditions, Concave Programming, Integration, Integrals, Dynamic Methods, Economic Dynamics, Autonomous Equations, Qualitative Analysis, Simultaneous Systems, Difference Equations, Optimal Control, Maximum Principle, Optimization Problems, Alternative Boundary Conditions, Infinite Time Horizon, Control Variable, Free-Terminal-Time

Topics: Algebra, Arithmetic Reviews, Self-Tests, Sequences, Series, Limits, Continuity of Functions, One Variable, Optimization, Linear Equations, Matrices, Determinants, Inverse Matrix, n-Variables, Constrained Optimization, Comparative Statics, Concave Programming, Kuhn-Tucker Conditions, Integration, First-Order Difference Equations, Second-Order Difference Equations, Simultaneous Systems, Optimal Control

Topics: Comparative Statics, Paradigm of Economics, Economics, Marginalist Paradigm, Refutable Propositions, Theories Versus Models, Calculus, Functions of Several Variables, Functions, Partial Derivatives, The Chain Rule, Level Curves, Profit Maximization, Matrices, Determinants, Comparative Statics, Envelope Theorem, Duality, Cost Functions, Cost, Production Functions, Consumer Demand Functions, Consumer Theory, Intertemporal Choice, Behavior Under Uncertainty, Inequality and Nonnegativity Constraints, Contracts and Incentives, Imperfect Information, Markets, General Equilibrium, Welfare Economics, Optimal Control Theory