Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Topics: Operations Research, Operations Research models, linear programming, two-variable linear programming model, modelling, simplex method, sensitivity analysis, artificial starting solution, duality, post-optimal analysis, primal-dual relationships, simplex algorithms, transportation model, assignment mode, network mode, shortest-route problem, Minimal spanning tree algorithm, maximal flow model, critical path model, revised simplex method, revised algorithm, bounded-variables algorithm, parametric linear programming, goal programming, goal programming formulation, goal programming algorithm, integer linear programming, Heuristic programming, greedy heuristic, local search heuristic, metaheuristic, constriant programming, traveling salesperson problem, deterministic dynamic programming, dynamic programming, inventory modelling, probability, probability distribution, decision analysis, games, game theory, probabilistic inventory models, Markov chains, queuing systems, simulation modeling, classical optimization theory, Nonlinear programming algorithms

Topics: ECONOMIC THEORY, CONSUMER CHOICE, One-Variable Calculus, LINEAR FUNCTIONS, NONLINEAR FUNCTIONS, COMPUTING DERIVATIVES, Calculus, DIFFERENTIABILITY, CONTINUITY, Chain Rule, Exponents, Logarithms, LINEAR SYSTEMS, Matrix, Matrices, Euclidean Spaces, VECTORS, PLANES, Linear Independence, Limits, Open Sets, Sets, Functions, DIRECTIONAL DERIVATIVES, GRADIENTS, LINEAR CONSTRAINTS, BORDERED MATRICES, Optimization, CONDITIONS, Homogeneous Functions, Homothetic Functions

Topics: Ordinary Differential Equations, linear constant coefficient equations, initial value problem, integrating factor method, linear variable coefficient equation, Bernoulli equation, separable equation, Euler Homogenous equations, exact differential equation, exponential decay, Newton's cooling law, carbon-14 dating, nonlinear equations, second order linear equations, variable coefficients, Homogenous Constant Coefficients Equations, Euler Equidimensional Equation, Nonhomogeneous Equations, power series, Laplace transform, discontinous sources, Two-Dimensional Homogeneous Systems, Two-Dimensional Phase Portraits, Autonomous Systems, Stability, Boundary Value Problems, linear algebra, matrix algebra, Eigenvalues, Eigenvectors, Diagonalizable Matrices, Matrix Exponential, exponential function

Topics: Power System Engineering, Power System Engineering planning, Power System Engineering design, power system load, load forecast, Low-Voltage Systems, power system planning principles, power system planning criteria, loss evaluation, energy losses, power losses, power system topology, Busbar Arrangements, Double Busbar Arrangement, transformers, Thermal Permissible Loading, cable systems, Permissible Current, overload lines, Flexible AC Transmission Systems, Parallel Compensation of Lines, Serial Compensation of Lines, Phase-Shifting Equipment, HVDC-Transmission, Converter Stations, Breakers, Reactors, Electrodes, Load-Flow Calculation, Short-Circuit Current Calculation, faults, disturbances, Overcurrent Protection, Impedance Protection, Differential Protection of Lines, Ground-Fault Protection, Buchholz Protection, Overvoltages, Insulation Coordination, Slow-Front Overvoltages, Fast-Front Overvoltages, Neutral Earthing, Residual Current Compensation

Topics: Probability, distributions, Estimation, hypothesis testing, random variation, randomized block design, Latin square designs, factorial treatment structure, Linear regression, Variance homogeneity, linear relationships, Linear models, non-Linear models, analysis of proportions, experimental measurements, experimental measurements analysis, Sampling finite populations, Experimental Biology, Agricultural Statistical Methods

Topics: Managerial Economics, Economic Analysis, Business Decisions, Theories of Profit, profit, Profit maximization, sales, growth rate, Long-Run Survival, Market Shares, Entry Prevention, Constrained Optimisation, Substitution Method, Lagrangian Multiplier Method, Decision Analysis, Decision Problem, Expected Monetary Value Decision, Market Demand, Market Demand analysis, Demand Functions, Linear Demand Function, Non-Linear Demand Function, Multi-Variate Demand Function, Dynamic Demand Function, Elasticity of Demand, Own-Price Elasticity, Cross-Elasticity, Income-Elasticity, Advertisement-Elasticity, Demand Forecasting, Forecasting Techniques, Production, Cost Analysis, Production Function, Optimal Input Combinations, Break-Even Analysis, Linear Cost Functions, Revenue Functions, Non-Linear Cost Functions, Revenue Functions, Price Determination, Perfect Competition, Monopoly

Topics: Statistical Computing, file management, data entry, Data Manipulation, sort data, Standardize data, Descriptive Statistics, Chi-square, Frequencies, Normality test, graphs icon, scatter plot, error bars, histogram, Bar Chart, Line Graph, Pie Chart, Paired-sample t-test, ANOVA, Pearson's Correlation, Spearman's Correlation, covariance, linear regression, Straight Line Fit, Curved Line Fit, Multiple Linear Regression

Topics: Business Forecasting, Linear Regression Model, Linear Model, Single-equation Regression Models, Distributed Lags, Dummy Variables, Nonlinear Regressions, Equation Stability, Equation Robustness, Smoothing Data, Time-series Decomposition Model, Linear Trends, Nonlinear Trends, Univariate Time-series Modeling, ARMA Model, Sales Forecasting, Long-term Forecasting, Macroeconomic Forecasting, Macroeconomic Model

Topics: linear programming, simplex method, duality theory, Linear Programming under Uncertainty, Algorithms for Linear Programming, Transportation and Assignment Problems, Network Optimization Models, Dynamic Programming, Integer Programming, Nonlinear Programming, Metaheuristics, Game Theory, Decision Analysis, Queueing Theory, Inventory Theory, Markov Decision Processes, Simulation