Course Outline

 

Topic
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 Problemstd>
Last modified: Monday, 12 September 2011, 6:42 PM