Student, who passed this course, will:
- Operate with machine numbers and calculate absolute and relative roundoff erros.
- Interpolate functions using Lagrange, Chebyshev and Hermite polynomials.
- Learn basics of spline interpolation.
- Be introduced to approximaton and interpolation by rational functions.
- Perform numerical differentiation and integration and estimate their errors.
- Solve systems of linear and nonlinear algebraic equations using iterative methods.
- Solve numerically matrix eigenvalue problems.
- Be introduced to analysis of convergence and stability of different numerical schemes.
- Be introduced to the method of succesfull approximatons and its convergence analysis.
- Construct function approximations using least-squares theory.
- Apply the matrix singular value decomposition theorem to quadratic forms.