Computational Techniques

1. Comparison of selected methods of solving equations and sets of equations – introduction to exercises, recapitulation of Matlab programming features, methodology of comparative computational experiments, examples in Matlab, presentation of obtained results, creating concluding observations. The selection of detailed exercises is based on tutor suggestions. 2. Interpolation examples and applications of Taylor series – design of experiment illustrating selected techniques, and their realization in Matlab, presentation of the results, concluding observations. The selection of detailed exercises is based on tutor suggestions. 3. Design and realization in Matlab of programming tools for tests of selected approximation methods – general designing rules for testing, selection of initial option and its realization, performing examples of tests, identification of drawbacks and improving the tools, presentation of the results, concluding observations. The selection of detailed exercises is based on tutor suggestions. 4. Design and realization in Matlab of programming tools for tests of selected regression methods – selection of initial option and its realization, performing examples of tests, identification of drawbacks and improving the tools, presentation of the results, concluding observations. The selection of detailed exercises is based on tutor suggestions. 5. Study and further development of demonstrations containing models based on sets of 1st order differential equations – running and detailed study of prepared in advance Matlab demonstration programmes, then suggestion and introduction of additional options extending flexibility of the studied tools, based on newly suggested comparisons and sets of parameters values. Repetition of selected Matlab techniques. 6. Recapitulation and verification of the practical skills and test of the theoretical knowledge.