The students
• know the basic concepts of numerical mathematics.
They are able to
• apply numerical methods to linear algebra problems, interpolation, for compensation problems, and program corresponding algorithms in MATLAB.
They know about
• basic tendencies of numerical calculations in the field of mechanical engineering.

B2.06060.20.080 - Mathematical Modeling and Parameterization
B2.00000.10.050 - Informatics 1: Fundamentals and Programming
B2.00000.20.010 - Engineering Mathematics 2

• Gaussian algorithm for solving linear systems of equations (Pivot, LU decomposition, Cholesky decomposition, conditioning)
  • Error analysis, stability and complexity of numerical algorithms
  • Interpolation (Newton, Lagrange, Spline)
  • Nonlinear equations (fixed point theorem, bisection method, regula falsi, sectant method, Newton, zeros of polynomials)
  • Equalization calculation -, least squares method (linear and nonlinear compensation problems)

R. Schwarz, Numerische Mathematik, Teubner 1993
St. Chapra, Applied Numerical Methods with MATLAB for Engineers and Scientists, 3rd Ed. (ISBN-13:978-0-07-340110-2). McGraw-Hill

Integrated course (ILV)

General examination