Mathematical modeling, numerical methods, and problem solving -- MATHLAB fundamentals -- Programming with mathlab -- Roundoff and truncation errors -- Roots: bracketing methods -- Roots: open methods -- Optimization -- Linear algebraic equations and matrices -- Gauss elimination -- LU factorization -- Matrix inverse and condition -- Iterative methods -- Eigenvalues -- Linear regression -- General linear least-squeares and nonlinear regession -- Fourier analysis -- Polynomial interpolation -- Splines and piecewise interpolation -- Numerical integration formulas -- Numerical integration of functions -- Numerical differentiation -- Initial-value problems -- Adaptive methods and stiff systems -- Boundary-value problems.