Akademik Dersler - İçerik

Recognize matrices and employ matrix methods in the solution of various problems.
Distinguishes matrix types and matrix elements.
Calculate matrix determinants and inverses.
Use matrices in the solution of linear algebraic equations.
Identify areas of use of numerical methods, make comparisons with analytical methods and define the notion of error.
Categorize numerical methods, lists areas of application.
Explain the notion of error, categorizes and calculates errors.
Find roots of nonlinear equations.
Formulate graphical, interval halving, Newton-Raphson and secant methods and uses them for finding roots.
Calculate the errors in the roots found.
Employ curve fitting methods.
Recognize interpolation methods and use them for generating polynomials; calculate the errors in the polynomialls found.
Fit curves to data using the least squares method.
Fit curves to linearized data after making the necessary transformations.
Apply numerical integration methods.
Formulate and use the Newton-Cotes integration formulas.
Calculate the errors in the results.
Solve Ordinary Differential Equations.
Solve ordinary differential equations using Euler, Taylor and Runge-Kutta methods.
Calculate the errors in the results.