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| prakash@cset.et.utoledo.edu | ||
Numerical Methods
Welcome to the EET 2980 course pages. This 1-4 credit special topics course is designed to help you to better understand and apply the various concepts and techniques collectively known as numerical methods. This applications oriented course involves the study of computational methods for solving problems in linear algebra, nonlinear equations, approximation, and ordinary differential equations.
The focus of this course is on the application of computers to solving problems appropriate to engineering and technology. Topics include but are not limited to a selection from the following list:
- Nonlinear Equations
- Simultaneous Linear Algebraic Equations
- Matrix EigenValue Problem(Jacobi Method, Given's Method, House Holder's Method, Power Method)
- Curve Fitting and Interpolation (e.g., Lagrange Polynomials, Cubic Splines, Least Square Regression, Curve Fitting with multiple Variables)
- Statistical Methods(Basic Definitions, Statistical Characteristics, Normal Distribution, Chi-Square Test for Distribution)
- Numerical Differentiation (e.g., Forward Finite Differences, Backward Finite Differences, Centred Finite Differences, Taylor Series Expansions and Discretization Error)
- Numerical Integration (e.g., Monte Carlo Methods, Rectangular Rules, Mid-Point and Trapezoidal Rules, Simpson's Rule, Gauss Quadrature)
- Optimization (e.g., Linear-Programming, Simplex method, Nonlinear optimization, Minimization of Function of several variables)
