SOVELLETUN MATEMATIIKAN JATKO-OPINTOKURSSI 5-7 op Advanced Topics in Applied Mathematics

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1 Matematiikan ja fysiikan jatko-opintokurssit Doctoral courses offered by Mathematics and Physics op/cr BM20AJ100 Sovelletun matematiikan jatko-opintokurssi 5-7 BM20AJ105 Matemaattinen teknologia 5 BM20AJ111 Fuzzy Systems 5 BM20AJ115 Advanced Kalman Filtering 5-12 BM20AJ120 Statistical Methods for Inverse Problems 5-12 BM20AJ125 Seminar on Time Series 4 BM20AJ130 Research Seminar on Scientific Computing for Doctoral Students 2-6 BM30AJ100 Modernin optiikan jatko-opintokurssi 6 BM30AJ105 Advanced Course on IC-Technology 6 BM40AJ101 Summer School in Novel Computing 1-2 BM40AJ105 Advanced Topics in Intelligent Computing 2 / 7 BM40AJ110 Research Seminar on Information Technology 5 BM20AJ100 SOVELLETUN MATEMATIIKAN JATKO-OPINTOKURSSI 5-7 op Advanced Topics in Applied Mathematics Luennoidaan tarpeen mukaan. Ilmoittautuminen sähköpostilla professori Heikki Haariolle. Arvostelu Oppimateriaalit professori, FT Heikki Haario Perehdytään johonkin sovelletun matematiikan erikoisalueeseen. Vaihtuva-aiheinen kurssi laitoksen omien ja vierailevien tutkijoiden erikoisaloilta, esim. DY/ODYmallinnuksen, data-analyysin, signaali-analyysin, stokastiikan, numeriikan ja matematiikan kehittyvien sovellusten parista. Opintojakson voi suorittaa ja sisällyttää jatkotutkintoon useammin kuin kerran. Luentoja ja seminaariesityksiä. Seminaariesitelmä/raportti/harjoitustyö/ kirjatentti. Ajankohta sovitaan professorin kanssa. Arvosteluperusteet sovitaan erikseen riippuen suoritustavasta. Ilmoitetaan luentojen alkaessa. BM20AJ105 MATEMAATTINEN TEKNOLOGIA 5 op Mathematical Technology Ajankohta ilmoitetaan myöhemmin. Ilmoittautuminen sähköpostilla tutkijaopettaja Matti Heiliölle. tutkijaopettaja, FT Matti Heiliö Lisätä tietämystä matematiikan sovelluksista, antaa valmiuksia matemaattisen mallinnuksen ja ongelmanratkaisun kysymyksiin ja matemaattiseen osaamiseen perustuvien kehitysprojektien suunnitteluun ja toteutukseen. Eri aiheita sovelletun matematiikan alalta. Viikoittaiset seminaariesitykset, syys- ja kevätlukukausi. Suoritus edellyttää yhden lukukauden ajan mukanaoloa seminaarissa, 1-2 pidettyä esitelmää sekä 1-2 aineistopohjaista projektiraporttia, jotka sovitaan luennoitsijan kanssa. Arvostelu Osallistuminen seminaareihin, esitelmä(t), 60 % ja projektiraportti/-raportit, 40 %. Oppimateriaalit Ilmoitetaan luentojen alkaessa. BM20AJ111 FUZZY SYSTEMS 5 ECTS cr Fuzzy Systems, Sumeat systeemit The course will be organized if needed. Depending on participants, the teaching language is either English or Finnish. Associate Professor, Docent, D.Sc. (Tech.) Pasi Luukka Constructing fuzzy systems, modelling and applications: OWA-techniques, Choquet integrals, fuzzy screening, decision-making methods in fuzzy environments.

2 Prerequisites Lectures and/or seminar presentations. A presentation and making an exam about a suitable book about the topic or the exam of the course. The literature will be announced at the beginning of the course. Recommendation: BM20A3101 Fuzzy Sets and Fuzzy Logic and/or BM20A3203 Fuzzy Engineering and Decision Making. BM20AJ115 ADVANCED KALMAN FILTERING 5-12 ECTS cr Advanced Kalman Filtering, Kalman-suodatuksen erikoiskurssi The period will be announced later. Enrolment by to Professor Heikki Haario. Professor, Ph.D. Heikki Haario Students get a deeper understanding of several Kalman filtering methods, and learn to apply Kalman filtering to solve practical problems. Basic and extended Kalman filters, optimization formulations, ensemble and particle filters. Applications to engineering problems. Lectures and seminar presentations. Practical assignments. Seminar presentations 30%, assignments 70%. Will be announced at lectures. BM20AJ120 STATISTICAL METHODS FOR INVERSE PROBLEMS 5-12 ECTS cr Statistical Methods for Inverse Problems, Inversio-ongelmien tilastolliset menetelmät The period will be announced later. Enrolment by to Professor Heikki Haario. Professor, Ph.D. Heikki Haario Students get a deeper understanding of statistical methods for inverse problems and learn to apply the methods to practical problems. Bayesian approach to inverse problems. Various Markov chain Monte Carlo methods, together with different prior and likelihood formulations. Applications to science and industrial engineering problems. Lectures and seminar presentations. Practical assignments. Seminar presentations 30%, assignments 70%. Will be announced at lectures. BM20AJ125 SEMINAR ON TIME SERIES 4 ECTS cr Seminar on Time Series Enrolment for autumn term by the end of the first week of the 1st period and for spring term by the end of the first week of the 3rd period. Enrolment by to Tuomo Kauranne. Year and Period Period 1-4 Associate Professor, Ph.D. Tuomo Kauranne Students get familiar with different kind of time-series applications and their analysing methods. The content varies depending on presentations. Seminar presentations. Attendance at ten seminars and one seminar presentation during each of the two semesters is required. BM20AJ130 RESEARCH SEMINAR ON SCIENTIFIC COMPUTING FOR DOCTORAL STUDENTS 2-6 ECTS cr Research Seminar on Scientific Computing for Doctoral Students, Tieteellisen laskennan tutkimusseminaari tohtoriopiskelijoille Enrolment for autumn term by the end of September and for the spring term by the end of January. Enrolment by to Professor Jari Hämäläinen. Professor, Ph.D. Jari Hämäläinen To give doctoral students skills to present their research work and to disseminate their results to an audience as well as skills to carry out reviews of other researchers work and participate in academic debates. More general objectives of the seminar are to share concrete methodological advancements and new results among doctoral students, and to distribute

3 information on research work carried out at LUT aiming at doctoral theses also to staff members who are interested in to attend the seminar audience. The seminar presentations deal with a wide range of topics of scientific computing and other research methodology development carried out in all LUT faculties. Meetings twice per term, i.e. four times per academic year. Totally 12 meetings during 3 years. 6 ECTS cr: taking part in 9 meetings, giving 3 presentations and acting as an opponent to 3 presentations 4 ECTS cr: taking part in 6 meetings, giving 2 presentations and acting as an opponent to 2 presentations 2 ECTS cr: taking part in 3 meetings, giving 1 presentation and acting as an opponent to 1 presentation Meetings, presentations and acting as an opponent. Presentation material by the students. BM30AJ100 MODERNIN OPTIIKAN JATKO-OPINTOKURSSI 6 op Advanced Topics in Modern Optics Luennoidaan tarvittaessa kevätlukukaudella. Ilmoittautuminen sähköpostilla Erik Vartiaiselle. Oppimateriaalit dosentti, FT Erik Vartiainen Perehdytään johonkin modernin optiikan erikoisalueeseen. Vaihtuva-aiheinen kurssi laitoksen omien ja vierailevien tutkijoiden erikoisaloilta, esim. fotoniikan, optisen mittaustekniikan, optisten spektroskopioiden sekä laskentamenetelmien sovellusten parista. Opintojakson voi suorittaa ja sisällyttää jatkotutkintoon useammin kuin kerran. Luennot ja harjoitukset 24 h, lisäksi seminaariesitelmiä/raportti/harjoitustyö/kirjan tenttiminen 132 h. Ilmoitetaan luentojen alkaessa. BM30AJ105 ADVANCED COURSE ON IC-TECHNOLOGY 6 ECTS cr Advanced Course on IC-Technology, IC teknologian erikoiskurssi Will be arranged upon request. Enrolment by to Professor Tuure Tuuva. Professor, Ph.D. Tuure Tuuva The student acquires deep knowledge of a specified subject. Special subjects in Integrated Circuit Technology. Seminar or a written assignment. Seminar or a written assignment, 100 %. According to an agreement. For example, Silicon VLSI Technology, J.D. Plummer, M.D. Deal and P.B. Griffin, Prentice Hall. BM40AJ101 SUMMER SCHOOL IN NOVEL COMPUTING 1-2 ECTS cr Summer School in Novel Computing Lectured as needed. Person in Charge: Associate Professor, D.Sc. (Tech.) Arto Kaarna The learning outcomes of the course are as follows: A student understands the scientific basics, current research activities and application areas of one of the selected topics of the summer school, and can further apply this knowledge in his/her research work. A student knows the practices of an international summer school. The content changes in each implementation. Lectures will be held by visiting international lecturers. Lectures and/or exercises and/or practical assignments. Total workload h. Approved with distinction/approved/failed: practical assignments 50%, active participation (lectures, exercises) 50%. To be announced at the beginning of the lectures. More information (e.g. contents, prerequisites, pre-assignment, registration) will be published on course web pages.

4 BM40AJ105 ADVANCED TOPICS IN INTELLIGENT COMPUTING 2 / 7 ECTS cr Advanced Topics in Intelligent Computing Lectured as needed, the period will be announced later. Person in Charge: Associate Professor, D.Sc. (Tech.) Arto Kaarna To support doctoral studies by introducing recent research issues in Intelligent Computing. The topic changes annually. 2 ECTS cr: Lectures, seminar presentations, discussions and practical assignments. Oral presentations, written seminar reports, active participation in the course. 7 ECTS cr: Lectures, seminar presentations, discussions and practical assignments. Oral presentations, written seminar reports, homework, active participation in the course and an exam. 2 ECTS cr: Approved with distinction/approved/failed: oral presentations and written reports 50%, active participation (lectures, seminars, discussions) 50%. 7 ECTS cr: Approved with distinction/approved/failed: Homework, practical assignments, oral presentations and written reports 33%, exam 33%, active participation (lectures, seminars, discussions) 34%. To be announced at the beginning of the lectures. BM40AJ110 RESEARCH SEMINAR ON INFORMATION TECHNOLOGY Research Seminar on Information Technology Lectured as needed, the period will be announced later. 5 ECTS cr Person in Charge: Professor, D. Sc. (Tech.) Heikki Kälviäinen The course contains two basic aims: firstly to present current research topics in information technology, and secondly to get familiar with principles and practices of scientific writing and oral presentation. Topics will be announced at the beginning of the course. Lectures, seminar presentations and discussions. An oral presentation and a written seminar report, acting as an opponent to other seminar speakers, homework, and active participation in the seminar. Eva May: Tiedettä englanniksi - Akateemisen kirjoittamisen käsikirja, Jyväskylän yliopistopaino, Webster s Compact Writers Guide, Merriam-Webster Inc., Päivitetty lukuvuoden opetussuunnitelman mukaisesti/ Updated according to the curriculum of the academic year : Edellä esitettyjen jatko-opintokurssien lisäksi myös alla olevat matematiikan ja fysiikan alan diplomiinsinöörin tutkinnon opintojaksot ovat tohtoriopintoihin soveltuvia. Näiden opintojaksojen kohdalla on maininta Opintojakso soveltuu myös tohtoriopintoihin. In addition to the doctoral courses above, the Master s-level courses in Computational Science and Physics listed below may be included in doctoral studies. The suitability is mentioned in the course description. BM10A0800 Computational Science and Physics: Advanced Topics in Material Science BM20A1901 Statistics II BM20A2000 Simulation BM20A2500 Linear Algebra and Normed Spaces BM20A2800 Nonlinear Optimization BM20A2901 Discrete Optimization BM20A3001 Statistical Analysis in Modelling BM20A3101 Fuzzy Sets and Fuzzy Logic

5 BM20A3203 Fuzzy Engineering and Decision Making BM20A3301 Stochastic Theory and Models BM20A3401 Design of Experiments BM20A3602 Fuzzy Data Analysis BM20A3801 Advanced Mathematical Methods BM20A4000 Case Study Seminar BM20A4500 Evolutionary Computation BM20A4600 Jatkuvat mallit BM20A4701 Modelling with Partial Differential Equations BM20A5100 Scientific Computing and Numerics for PDEs BM20A5400 Computational Modeling of Materials BM20A5600 Inverse Problems and Sparse Transforms BM20A6000 Ecomathematics BM20A6100 Advanced Data Analysis and Machine Learning BM30A0601 Optoelectronics BM30A1500 Advanced Topics in Material Science BM30A1600 Microelectronics BM30A1701 Physics of Semiconductor Devices BM30A2200 Semiconductor and Superconductor Physics BM30A2500 Nanophysics BM40A0000 International Summer School in Novel Computing BM40A0700 Pattern Recognition BM40A0800 Machine Vision and Digital Image Analysis BM40A0900 Computer Vision BM40A1200 Digital Imaging and Image Preprocessing