Topics: Well Test Interpretation, well test, wellbore storage, Radial Flow Semilog Analysis, Log-Log Type Curve Analysis, Pressure Transient Testing, gas flow equation, flow regimes, diagnostic plot, bounded reservoir behavior, Variable Flow Rate, flow rate, wellbore phenomena, Near-Wellbore Phenomena, Well Test Interpretation Workflow, Well Test Design Workflow

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Topics: DISTRIBUTION OF BLOOD

Topics: simplex method, degeneracy, duality theory, primal simplex method, Lagrangian duality, sensitivity analysis, parametric analysis, implementation issues, convex analysis, game theory, regression, structural optimization, interior-point methods, central path, Lagrange multipliers, path-following method, KKT system, affine-scaling, method, integer programming, quadratic programming, convex programming, Markowitz model

Topics: Logic, abstract thinking, Permutation, Combination, Binomial Theorem, Algebraic Expressions, matrix, determinant

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method

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: 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: Hydrodynamics, Compressible fluid flow, Incompressible fluid flow, isothermal flow, fluid dynamics, fluid flow, flow rate, Bernoulli’s principle, Bernoulli’s equation, Continuity equation