Computational Economics

  1. Mathematical Foundations
    1. Linear Algebra
      1. Vectors and Vector Operations
        1. Matrices and Matrix Operations
          1. Matrix Multiplication
            1. Matrix Inversion
              1. Determinants
                1. Eigenvalues and Eigenvectors
                  1. Systems of Linear Equations
                    1. Gaussian Elimination
                      1. LU Decomposition
                      2. Calculus and Analysis
                        1. Single Variable Calculus
                          1. Differentiation
                            1. Integration
                              1. Optimization
                              2. Multivariable Calculus
                                1. Partial Derivatives
                                  1. Gradients and Hessians
                                    1. Chain Rule
                                      1. Implicit Function Theorem
                                      2. Differential Equations
                                        1. Ordinary Differential Equations
                                          1. First-Order Linear ODEs
                                            1. Second-Order Linear ODEs
                                              1. Systems of ODEs
                                              2. Difference Equations
                                                1. First-Order Difference Equations
                                                  1. Higher-Order Difference Equations
                                                    1. Stability Analysis
                                                  2. Probability and Statistics
                                                    1. Probability Theory
                                                      1. Sample Spaces and Events
                                                        1. Probability Axioms
                                                          1. Conditional Probability
                                                            1. Independence
                                                            2. Random Variables
                                                              1. Discrete Random Variables
                                                                1. Continuous Random Variables
                                                                  1. Probability Distributions
                                                                    1. Joint Distributions
                                                                    2. Expectation and Moments
                                                                      1. Expected Value
                                                                        1. Variance and Standard Deviation
                                                                          1. Covariance and Correlation
                                                                            1. Higher-Order Moments
                                                                            2. Statistical Inference
                                                                              1. Point Estimation
                                                                                1. Interval Estimation
                                                                                  1. Hypothesis Testing
                                                                                    1. Maximum Likelihood Estimation
                                                                                  2. Optimization Theory
                                                                                    1. Unconstrained Optimization
                                                                                      1. First-Order Conditions
                                                                                        1. Second-Order Conditions
                                                                                          1. Convexity and Concavity
                                                                                          2. Constrained Optimization
                                                                                            1. Equality Constraints
                                                                                              1. Inequality Constraints
                                                                                                1. Lagrange Multipliers
                                                                                                  1. Karush-Kuhn-Tucker Conditions
                                                                                                  2. Duality Theory
                                                                                                    1. Primal and Dual Problems
                                                                                                      1. Strong and Weak Duality
                                                                                                        1. Complementary Slackness

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                                                                                                    1. Introduction to Computational Economics

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