Topics: PROBLEM FORMULATION, OPTIMIZATION THEORY, OPTIMIZATION METHODS, APPLICATIONS OF OPTIMIZATION, HEAT TRANSFER, ENERGY CONSERVATION, SEPARATION PROCESSES, FLUID FLOW SYSTEMS, CHEMICAL REACTOR DESIGN, CHEMICAL REACTOR OPERATION, INTEGRATED PLANNING SCHEDULING, OPTIMIZATION OF UNCONSTRAINED FUNCTIONS, UNCONSTRAINED MULTIVARIABLE OPTIMIZATION, LINEAR PROGRAMMING, NONLINEAR PROGRAMMING, MIXED-INTEGER PROGRAMMING, GLOBAL OPTIMIZATION

Topics: Line Search, Newton’s Methods, Conjugate Gradient Method, Quasi-Newton Methods, Trust-Region, Conic Model Methods, Theory of Constrained Optimization, Quadratic Programming, Penalty Function Methods, Methods for Constrained Problems, Non smooth Optimization

Topics: Classical Optimization Techniques, Linear Programming, Simplex Method, One-Dimensional Minimization Methods, Nonlinear Programming, Geometric Programming, Dynamic Programming, Integer Programming, Stochastic Programming, Optimal Control, Optimality Criteria Methods, Convex Functions, Concave Functions

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: Economic analysis.LOGIc, SET THEORY, ALGEBRA, SOLVING EQUATIONS, FUNCTIONS OF ONE VARIABLE, PROPERTIES OF FUNCTIONS, DIFFERENTIATION, SINGLE-VARIABLE OPTIMIZATION, INTEGRATION, FINANCIAL MATHEMATICS, COMPARATIVE STATICS, MULTIVARIABLE OPTIMIZATION, CONSTRAINED OPTIMIZATION, MATRIX, VECTOR ALGEBRA, DETERMINANTS, INVERSE MATRICES, LINEAR PROGRAMMING

Topics: Economic analysis.LOGIc, SET THEORY, ALGEBRA, SOLVING EQUATIONS, FUNCTIONS OF ONE VARIABLE, PROPERTIES OF FUNCTIONS, DIFFERENTIATION, SINGLE-VARIABLE OPTIMIZATION, INTEGRATION, FINANCIAL MATHEMATICS, COMPARATIVE STATICS, MULTIVARIABLE OPTIMIZATION, CONSTRAINED OPTIMIZATION, MATRIX, VECTOR ALGEBRA, DETERMINANTS, INVERSE MATRICES, LINEAR PROGRAMMING

Topics: Compiler Design, compiler Implementation, informal compiler algorithm notation, Low-Level Intermediate Languages, Multi-Level Intermediate Languages, run-time support, Data Representations, control-flow analysis, Data-Flow Analysis, Procedure Optimizations, Register Allocation, code scheduling, Memory Hierarchy optimization, Data-Cache Optimization

Topics: mathematical programming, linear programming, simplex method, dual simplex method, duality analysis, sensitivity analysis, integer programming, branch-and-round algorithm, cut algorithm, transportation algorithm, scheduling methods, nonlinear programming, single-variable optimization, multivarible optimization, network analysis, project planning, inventory models, forecasting, game theory, decision theory, dynamic programming, finite markov chains, markovian birth-death processes, queuing systems

Topics: Centralized Economy, Real-Business-Cycle Dynamics, Optimal Solution, Economic Growth, Modeling Economic Growth, Endogenous Growth, Decentralized Economy, Consumption, savings, Life-Cycle Theory, labour, firms, Government Budget Constraint, Public Finances, Financing Government Expenditures, Optimizing Public Finances, Fiscal Policy, Time-Consistent, Time-Inconsistent Fiscal Policy, Overlapping-Generations Model, Open Economy, traded goods, Current-Account Sustainability, Monetary Economy, Imperfectly Flexible Prices, Price Stickiness, Asset Pricing, Macroeconomics, Market Efficiency, Arbitrage, Asset Allocation, Financial Markets, Stock Market, bond market, FOREX Market, Nominal Exchange Rates, IS–LM Model, Monetary Policy, Keynesian Model of Inflation, Optimal Inflation Targeting, Optimal Monetary Policy, New Keynesian Model, Real Business Cycles, DGE Models, Economic Fluctuations, RBC Model, Mathematical Appendix, Continuous-Time Optimization, Dynamic Programming, Stochastic Dynamic Optimization, Time Consistency, Time Inconsistency, Linear Rational-Expectations Models

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