Deskripsi
Produk : Question Bank
Daftar Topik:
1. Review: Optimization with Equality Constraints
– Effects of a constraint
– Finding stationary values using Lagrange
– Second-order conditions: Bordered Hessian and Bordered Determinant
2. Optimization with Inequality Constraints (1)
– Effect of no-negativity restrictions
– Effect of inequality constraints
– Kuhn-Tucker conditions, introduction
3. Optimization with Inequality Constraints (2)
– Kuhn-Tucker conditions
– The constraint qualification
– Linear constraints
– Economic applications: wartime rationing
4. Optimization with Inequality Constraints (3)
– Economic applications: peak load pricing
– Sufficiency theorems in nonlinear programming
– Duality and the Envelope theorem
5. Dynamic Analysis and Integral
– Review: indefinite integral, definite integral, improper integral
– Economic applications
– Investment and capital formation
– Domar growth model
6. Continuous Time: First-Order Differential Equations (1)
– First-order linear differential equations with constant coefficient and term
– Dynamics of market price
– Variable coefficient and variable term
7. Continuous Time: First-Order Differential Equations (2)
– Exact differential equations
– Nonlinear differential equations of the first order and first degree
– The qualitative-graphic approach
– Solow Growth model
8. Higher-Order Differential Equations (1)
– Second-order linear differential equations with constant coefficients and term
– Complex number and circular functions
9. Higher-Order Differential Equations (2)
– Derivatives of circular functions
– Definite solution & dynamic stability
10.Higher-Order Differential Equations (3)
– market model with price expectations
– The interaction of inflation and unemployment
– Differential equations with a variable term
11.Discrete Time: First-Order Difference Equation (1)
– Discrete time, differences, and difference equation
– Solving a first-order difference
– The dynamic stability of equilibrium
12.Discrete Time: First-Order Difference Equation (2)
– The Cobweb model
– Nonlinear difference equations, the qualitative-graphic approach
13.Higher-Order Difference Equation (1)
– Second-order linear difference equations with constant coefficients and term
– Complex number and circular functions in difference equations
14.Higher-Order Difference Equation (2)
– Definite solution & dynamic stability in difference equations
– Samuelson Multiplier-Acceleration interaction model
15.Higher-Order Difference Equation (3)
– Inflation and unemployment in discrete time
– Difference equations with a variable term
16.Simultaneous Differential and Difference Equation
– Matrix solution of simultaneous differential equations
– Matrix solution of simultaneous difference equations
17.Introduction to Optimal Control (1)
– Hamiltonian functions with fixed endpoints
– Sufficiency conditions in optimal control
– Hamiltonian functions with free endpoints
18.Introduction to Optimal Control (2)
– Optimal control theory with inequality constraint
– Current-valued Hamiltonian functions
Ulasan
Belum ada ulasan.