Numerical Methods - BMEEOAFMsFAL01-00

1. Has a skill-level understanding of a mathematical environment 2. Is familiar with the basic commands, instructions, loops, branches, graphical display options, text reading, and writing possibilities of a given mathematical environment 3. Can distinguish between different computation errors 4. Knows methods for solving systems of linear equations 5. Understands root-finding procedures for nonlinear systems of equations 6. Is aware of the difference between interpolation and regression methods 7. Has an overview of some optimization methods 8. Is aware of various numerical derivation, and integration procedures 9. Is familiar with some methods for solving initial value and boundary value problems of ordinary differential equations

1. Able to skillfully use a mathematical environment to solve engineering problems 2. Able to interpret the upcoming error/warning messages and to fix the specified errors. 3. Can use the software documentation effectively, find the necessary commands, and interpret the algorithms and parameters of the commands 4. Able to load text data into a mathematical environment 5. Is proficient in creating graphs in a mathematical environment, parameterizing them as required 6. Selects the most appropriate methods to solve a given problem 7. Is able to fit an interpolation or regression curve/surface to measured data 8. Is proficient in solving linear and non-linear systems of equations 9. Able to solve one or multivariate optimization problems with or without constraints. 10. Able to differentiate/integrate numerically in case of a certain problem 11. Is able to convert a higher-order differential equation into a system of first-order differential equations for the numerical solution 12. Able to solve ordinary differential equations in case of initial or boundary value problem, even in single and bivariate case

1. Tries to perform his/her tasks to the best of his/her ability and to a high standard 2. Seeks the most efficient algorithm during the solution 3. Susceptible toward simple and efficient program codes 4. Attempts to write a well-documented script with comments understandable for others 5. Strives for continuous self-learning.

1. Independently performs the solution of the problem assigned as homework 2. Is open to well-founded critical comments, accepts them and incorporates them into further work 3. Independently checks in the documentation how to use the commands required to solve the tasks 4. Uses cognitive skills to make decisions and to move logically from one idea to another.