1 Mathematical Modeling, Numerical Methods, and Problem Solving 2 MATLAB Fundamentals 3 Programming with MATLAB 4 Roundoff and Truncation Errors 5 Roots: Bracketing Methods 6 Roots: Open Methods 7 Optimization 8 Linear Algebraic Equations and Matrices 9 Gauss Elimination 10 LU Factorization 11 Matrix Inverse and Condition 12 Iterative Methods 13 Eigenvalues 14 Linear Regression 15 General Linear Least-Squares and Nonlinear Regression 16 Fourier Analysis 17 Polynomial Interpolation 18 Splines and Piecewise Interpolation 19 Numerical Integration Formulas 20 Numerical Integration of Functions 21 Numerical Differentiation 22 Initial-Value Problems 23 Adaptive Methods and Stiff Systems 24 Boundary-Value Problems
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