1. Mathematical methods in designing and analysis of experiment

2. Dr. Łukasz Radosiński Room no. 112, b. C6 Tel. 28 38 Email: lukasz.radosinski@pwr.edu.pllukasz.radosinski@pwr.edu.pl Web: http://www.prochembio.pwr.wroc.pl/Lukasz_Radosinski.htmlhttp://www.prochembio.pwr.wroc.pl/Lukasz_Radosinski.html Consultation: Tuesday: OW 13:30-15:30, EW 17:00-19:00 Wenesday: 15:00-17:00

3. Graduation rules

4. About me Proffesional career: -2005-2008, Research Assistant, High Energy Accelerator Research Organization KEK, Photon Factory, Tsukuba, Japonia

5. About me Proffesional career: -2005-2008, Research Assistant, High Energy Accelerator Research Organization KEK, Photon Factory, Tsukuba, Japonia -2006-2008, Consultant, Toyoink, Tsukuba, Japonia,

6. About me Proffesional career: -2005-2008, Research Assistant, High Energy Accelerator Research Organization KEK, Photon Factory, Tsukuba, Japonia -2006-2008, Consultant, Toyoink, Tsukuba, Japonia, -2008-2011, Assistant Professor, Chemical Phsysics Institute, PWr. -Project Manager -2011-, Associate Professor, Group of Bioprocess and Biomedical Engineering. -Project Manager, team leader Other: - Bussiness brokarage, market region Europe-Asia.

7. Scope of the module To learn how to combine advanced mathematical methods with experimantal data. Experimental data post-processing. To learn how to use computational methods to solve analytical problems. Important: Only selected methods. 15 h is not enough!

8. Scope of the module To combine calculus algebra, differentia equations, statistics and computer technology. What are the most popular and useful mathematical methods in industry, business and science. To increase possibilities of getting good job.

9. Does knowledge of mathematics increse your chance of getting a job? Depends what job! Driving licence B cat. Does driven has to know about vehicle’s mechanics? No! Salary around 1200 PLN

10. Does driven has to know about vehicle’s mechanics? Limited knowledge, identification of mailfaction, basic repairs. Salary app. 4500 PLN brutto Depends what job! Driving licence D cat. Does knowledge of mathematics increse your chance of getting a job?

11. Salary app. 22 mln Euro brutto (S. Vettel 2014) Does driven has to know about vehicle’s mechanics? YES! Direct inclusion in the design and exploatation process. Depends what job! Superlicence Does knowledge of mathematics increse your chance of getting a job?

12. Process engineer Limited usage of mathematical methods, week based summaries, line optimisation, Salary app.1800 netto PLN Senior engineer R&D YES, extensive use of analitcal and post processing methods Salary > 5000 PLN Depends what job! Does knowledge of mathematics increse your chance of getting a job?

13. Manager YES, system integration, every team has numerical or IT specialists, know what your team is capable of Salary > 7000 PLN Insurance analyst Data mininig, statistics Salary > 80 000 CHR annual Depends what job! Does knowledge of mathematics increse your chance of getting a job?

15. What will we use to perform computations? Microsoft Excel MATLAB

17. USE UNIVERSITY E-MAIL. You may need to wait few minutes for your confirmation e-mail from Platon.

18. When registered: When registered:

21. Wait for your reservation to start and click monitor button to start virtual machine. In the first login window as login enter: platon\wcss-yourlogin and password for Platon website. Second login window is for login: Administrator, to read your password click the gold key. It shows above the table.

22. Linear equations Nonlinear equations Differential equations Linear regression Nonlinear regression Introductionary statistics Fitting model

23. Linear equations Nonlinear equations Differential equations Linear regression Nonlinear regression Introductionary statistics Fitting model

24. Linear equations Nonlinear equations Differential equations Linear regression Nonlinear regression Introductionary statistics Fitting model

25. Linear equations Nonlinear equations Differential equations Linear regression Nonlinear regression Introductionary statistics Fitting model

26. Linear equations Nonlinear equations Differential equations Linear regression Nonlinear regression Introductionary statistics Fitting model

27. Linear equations Nonlinear equations Differential equations Linear regression Nonlinear regression Introductionary statistics Fitting model

28. Linear equations Nonlinear equations Differential equations Linear regression Nonlinear regression Introductionary statistics Fitting model

29. Równania liniowe Równania nieliniowe Równania różniczkowe Regresja liniowa Regresja nieliniowa Wstęp do statystyki Dopasowanie modelu Linear equations Nonlinear equations Differential equations Linear regression Nonlinear regression Introductionary statistics Fitting model

30. Fourier series

31. Model

32. Many natural and engineering phenomena occurs in periodic manner: weather, radio signal, molecular vibrations, mechanical devices, image. What is more interesting is that those phenomena interfere together creating very complex but periodic phenomena In order to deal with such signals it is needed to develope a procedure to investigate what are those fundamental periodic components of out complicated phenomena  to simplify it

33. Example El Nino

35. Enso data after applying smoothing filter twice

36. Enso data cosine series fit