| PART I. General Introduction Mathematical Modeling, Programming, Approximations and Round-Off Errors, Truncation Errors and the Taylor Series PART II. Roots of Equations Bracketing & Open Methods PART III. Linear Algebraic Equations Gauss Elimination, Gauss-Jordan, Gauss-Seidel PART IV. Optimization One-dimensional unconstrained optimization PART V. Curve Fitting Least Squares Regression, Interpolation PART VI. Numerical Differentiation and Integration Newton-Cotes Formulas (Trapezoidal & Simpson's Rules), Integration of Equations (Romberg Integration, Gauss Quadrature) PART VII. Ordinary Differential Equations Runge Kutta Methods, Multistep Methods, Boundary Value Problems
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