Computational Physics

  1. Mathematical Foundations
    1. Linear Algebra for Computational Physics
      1. Vector Operations
        1. Matrix Operations
          1. Eigenvalue Problems
            1. Singular Value Decomposition
              1. Matrix Norms and Condition Numbers
              2. Calculus and Analysis
                1. Differential Calculus
                  1. Integral Calculus
                    1. Vector Calculus
                      1. Complex Analysis Basics
                        1. Fourier Analysis
                        2. Differential Equations
                          1. Ordinary Differential Equations
                            1. Partial Differential Equations
                              1. Boundary Conditions
                                1. Initial Conditions
                                2. Probability and Statistics
                                  1. Probability Distributions
                                    1. Statistical Measures
                                      1. Error Analysis
                                        1. Monte Carlo Theory

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                                      1. Introduction to Computational Physics

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                                      3. Programming Fundamentals