Mathematical Economics

  1. Static Equilibrium Analysis
    1. The Concept of Equilibrium
      1. Definition of Economic Equilibrium
        1. Types of Equilibrium
          1. Stable Equilibrium
            1. Unstable Equilibrium
              1. Neutral Equilibrium
              2. Existence and Uniqueness of Equilibrium
                1. Multiple Equilibria
                2. Partial Market Equilibrium
                  1. Assumptions of Partial Equilibrium Analysis
                    1. Linear Market Models
                      1. Linear Demand Functions
                        1. Linear Supply Functions
                          1. Algebraic Solution for Equilibrium Price and Quantity
                            1. Comparative Statics in Linear Models
                            2. Nonlinear Market Models
                              1. Nonlinear Demand and Supply Functions
                                1. Graphical Solutions
                                  1. Analytical Solutions
                                    1. Stability Analysis
                                    2. Market Interventions
                                      1. Price Controls
                                        1. Taxes and Subsidies
                                          1. Quotas and Tariffs
                                        2. General Market Equilibrium
                                          1. Assumptions of General Equilibrium
                                            1. Two-Commodity Market Model
                                              1. System of Equations for Two Markets
                                                1. Existence and Uniqueness Conditions
                                                  1. Graphical Representation
                                                  2. N-Commodity Market Model
                                                    1. System of n Equations
                                                      1. Walras' Law
                                                        1. Existence of General Equilibrium
                                                          1. Arrow-Debreu Model
                                                          2. Welfare Properties of General Equilibrium
                                                            1. Pareto Efficiency
                                                              1. First and Second Welfare Theorems
                                                            2. Equilibrium in National-Income Analysis
                                                              1. Keynesian Macroeconomic Model
                                                                1. Income-Expenditure Approach
                                                                  1. Consumption Function
                                                                    1. Investment Function
                                                                      1. Government Spending and Taxes
                                                                        1. Algebraic Solution for National Income
                                                                        2. The IS-LM Model
                                                                          1. Derivation of IS Curve
                                                                            1. Derivation of LM Curve
                                                                              1. Simultaneous Equilibrium in Goods and Money Markets
                                                                                1. Policy Analysis Using IS-LM
                                                                                2. Aggregate Demand and Supply Models
                                                                                  1. Aggregate Demand Curve
                                                                                    1. Aggregate Supply Curve
                                                                                      1. Macroeconomic Equilibrium

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                                                                                  1. Introduction to Mathematical Economics

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                                                                                  3. Linear Models and Matrix Algebra