Based on the provided content, here are the details: "Exploring Industrial Mathematics and Its Impact on Society

Tstusmatemaatika Jaan Janno

Inglisekeelne vaste: Industrial mathematics or mathematics in industry T lge t stusmatemaatika ei ole p ris t pne. S nal industry on inglise keeles laiem t hendus kui s nal t stus eesti keeles. Industry h lmab lisaks t stuslikule tootmisele ka tehnoloogiat, majandust, rahandust, koloogiat, meditsiini, infotehnoloogiat jm

Tstusmatemaatika tegeleb matemaatikalesannetega, mis prinevad t stusest (ingl. vastena industry) ja seab eesm rgiks leida t stuse jaoks sobivaid, sh efektiivsemaid lahendeid. Laiem m iste on rakendusmatemaatika, mis lisaks eespooltoodule h lmab ka matemaatika rakendamist teiste teadusharude (nt f sika, bioloogia) teoeetiliste lesannete lahendamisel.

Ajaloost Matemaatika rakendamisele t stuses andis olulise t uke elektronarvutite teke ja sellega seotud arvutusmatemaatika areng. Sellest ajast (1940-ndate l pp, 1950ndate algus) p rineb ka m iste industrial mathematics . sna pea algas ka organiseerumine. Pioneeriks sel alal USA. ks vanemaid organisatsioone on SIAM (Society for Industrial and Applied Mathematics) loodi 1952.

Euroopas: ECMI (European Consortium for Mathematics in Industry), loodi 1987.a. Praegu on ECMI-l 111 institutsionaalset liiget. EU-MATHS-IN (European Service Network of Mathematics for Industry and Innovation) koondab rahvuslikke t stusmatemaatika v rke ja keskusi COST Actions: https://euro-math-soc.eu/industrial-mathematical- activities-europe

Eestis: Tartu likooli matemaatika Instituut (praegune MSI) on olnud ECMI liige 1993. aastast T stusmatemaatika alase tegevuse p hiline eestvedaja Eestis on olnud dotsent Peep Miidla Tema initsiatiivil loodi 2012.a MT Eesti T stusmatemaatika Keskus Ksii https://www.facebook.com/ksii11/ Alates 2019. a on ECMI liikmeks ka TT k berneetika instituut.

European Consortium for Mathematics in Industry (ECMI) - Euroopa T stusmatemaatika Konsortsium ECMI is a consortium of academic institutions and industrial companies that acts co-operatively with the following aims: To promote and support the use of mathematical modelling, simulation, and optimization in any activity of social or economic importance. To educate Industrial Mathematicians to meet the growing demand for such experts. To operate on a European scale.

ECMI tegevustest Koost r hmad t stusega ESGI (European Study Groups with Industry). heks n dalaks koguneb rahvusvaheline matemaatikust koosnev r hm, kes tegeleb ettev tete poolt esitatud rakendus lesannetega, pakkudes v lja lahendusi. Esimene ESGI toimus 1968.a Oxfordis ja praegu toimub neid igal aastal 5-7 tk erinevates riikides.

ESGI Tartu likoolis 4-8.02.2019 Organisaator: Peep Miidla le 30 eksperdi erinevatest maadest 4 lesannet ettev tetelt

1. Let s consider the working schedules of support and servicing teams who have to complete incoming tasks in real time during fixed working hours longer than nominal 40 hour week. Such teams can be found throughout both the public and private sector, servicing either external or internal clients. It can be expected that the task flows for these teams will often vary over time and can be unevenly scattered in weeks and days. Nevertheless, the team leads and managers need to plan and design the work schedules of these teams so that robust task completion is guaranteed throughout the official servicing hours of the teams, even if the servicing hours are longer than usual 8 hour shifts or if they involve weekends. Moreover, the team leads will surely face several real world complications and constraints, such as unexpected illnesses or vacation seasons. In this ESGI problem, you are asked to model the work schedule of such teams under real world inspired constraints. The aim of the task is to provide team leads with a helper tool for compiling the individual work schedules of their team members based on task flow forecasts. The work schedules should be designed to maximise employee wellbeing, while providing robust performance and resilience to unexpected shocks. You are provided with an example description of real world complications and constraints, as well as, synthetic task flow data of two model teams for testing your methodology. You are expected to provide a proof-of- concept implementation in a suitable programming language. lesanne Swedbankilt

ESGI rhma aruanne esimese lesande kohta: https://sisu.ut.ee/sites/default/files/esgi151/files/swedbank_esgi151_r eport.pdf

2. lesanne: Norma/Autoliv After stamping the products are transported to the heat treatment line and spread evenly on the conveyor to be fed to the furnace. Products are heated up to 880 900 C and then dipped into the salt tank where they cool to 300 400 C. The goal for ESGI151 is to get the most effective production plan sequence by optimizing and minimizing the use of time and energy during change overs.

ESGI rhma aruanne teise lesande kohta: https://sisu.ut.ee/sites/default/files/esgi151/files/report_norma.pdf

3. lesanne: Holon Technologies There is a need to shift into more customer-centric model, as more insurance companies light up telematics technology. Imagine being able to predict an incident before it happens. Merging data analytics together with driver behavior is a game changing reality companies are just beginning to realize the benefits of. If actuaries can see patterns and trends, that s where the magic begins to happen. ESGI151 brainstorm should construct a solution for classification of drivers according to the data from driving indicators. The objective function is to minimize the probability of causing traffic damage during the next insurance period or some other parameter according to new pattern, discovered in the data.

ESGI rhma aruanne kolmanda lesande kohta: https://sisu.ut.ee/sites/default/files/esgi151/files/holontechnologies_r eport.pdf

4. lesanne: LHV pank LHV is researching options to develop a fully automated personal finance tool, which: - Provides an overview of a customer s spending and helps forecast future spending - Acts as a personal finance advisor who makes personalised suggestions to help customers increase their savings The goal for ESGI is to suggest a theoretical framework for the second part of this project: building the personal finance advisor. Ideally, this would also result in a practical prototype.

ESGI rhma aruanne neljanda lesande kohta: https://sisu.ut.ee/sites/default/files/esgi151/files/report_lhv.pdf

ECMI huvirhmad (Special interest groups) Rahvusvaheline koost spetsiifilistel TM teemadel Huvir hm annab hesuguste huvidega teadlastele ja uurijatele nii likoolides kui ka ettev tetes-organisatsioonides v imaluse hineda ja koos taotleda Euroopa Liidu v i teistest finantsallikatest rahastust uurimist l biviimiseks. ECMI tegutseb siin ergutava vahendajana selliste r hmitiste moodustumisel, edastades oma kanalite kaudu informatsiooni olemasoleva kompetentsi kohta, samuti toetades neid r hmi rahaliselt.

Huvirhmad praeguse seisuga: Shape and Size in Medicine, Biotechnology and Materials Science Liquid Crystals, Elastomers and Biological Applications Math for the Digital Factory Numerical Weather Prediction Computational Finance and Energy Markets Sustainable Energies Implantable devices and drug delivery systems Net Campus for Modeling Education and Industrial Mathematics Mathematics for Big Data Modeling, Simulation and Optimization in Electrical Engineering (MSOEE)

Huvirhma loomine: Describe the area of interest, the motivation and aims. There should be a clear interest in the activity from industry. If possible describe how the activity may lead to proposals for cooperative funding. Identify a group of experts for an initial start-up group. These experts should come from more than one country in Europe and should include representative(s) from industry. Describe potential activities for the first year. These might include workshops, industry days, minisymposia etc. Nominate a contact person (moderator) who will be responsible for the programme of events and for reporting activities. The RIC requires an annual report which will be posted on the webpages.

ECMI haridusprogramm li pilaste ja ppej udude vahetus ECMI partner likoolide vahel li pilaste modelleerimisn dalate organiseerimine (modelling weeks) ECMI magistri ppe n idiskava haldamine, vastavate diplomite ja sertifikaatide v ljastamine ECMI ppekeskuse (ECMI teaching center) staatuse andmine partner likoolidele

ECMI magistrippe nidisprogramm (ECMI model master) Kaks spetsialiteeti: Tehnomatemaatika (technomathematics): orienteeritud tehnilistele aladele nagu mehaanika, farmaatsia, elektroonika, keemia, f sika, biotehnoloogia, ehitus jm konomatemaatika (economathematics): orienteeritud majandusele, rahandusele, statistikale, andmeanal sile

Eeldused immatrikuleerimiseks: On l binud 180 ainepunktise bakalaureuse ppe, sh on l binud 60 EAP matemaatika aineid tehnomatemaatika jaoks ja 54 EAP matemaatika aineid konomatemaatika jaoks. hea inglise keele oskus

Phinuded: Kaheaastane magistriprogramm Kaks spetsialiteeti: tehnomatemaatika (technomathematics) ja konomatemaatika (economathematics) Kava on inglisekeelne V hemalt ks semester peab olema l bitud m nes teises ECMI partner likoolis

ppekava peab sisaldama: Regulaarset modelleerimiseminari, v hemalt 6EAP Teisi modelleerimistegevusi (suvekoolid, t stusprojektid, osav tt koost r hmadest t stusega, st ESGI, jm), 0 9 EAP Osav tt ECMI modelleerimisn dalast, 3EAP L put peab olema seotud reaalse t stusmatemaatika probleemiga, soovitavalt tehtud koost s mingi ettev tte v i organisatsiooniga ja peab omama mittetriviaalset matemaatilist sisu, 30 EAP Viide t psematele n uetele: https://ecmiindmath.org/education/ecmi-model-master-in- mathematics-for-industry/

ECMI sertifikaat (magistrippe diplomi lisa) vljastatakse, kui Magistri ppe programm vastab eeltoodud tingimustele Programmi petav likool on ECMI ppekeskuse (ECMI educational center) v i ECMI provisionaalse ppekeskuse staatuses. Selleks hinnatakse ppekava ECMI ekspertide poolt. T psemalt: https://ecmiindmath.org/education/ecmi-teaching-centres/how-to- enter-the-ecmi-educational-network/

ECMI ppekeskused praeguse seisuga: University of Kaiserslautern, Technical University of Dresden, Johannes Kepler University, University of Milan, Technical University of Eindhoven, Technical University of Denmark, University of Oxford, University of Strathclyde, Lappeenranta University of Technology, Chalmers University of Technology, Lund University, The Norwegian University of Science and Technology, University Carlos III of Madrid, Sofia University St. Kliment Ohridski , Wroclaw University of Science and Technology, University of Lisbon Instituto Superior T cnico, University of Coimbra, University of Novi Sad, University of Verona, University of Grenoble-Alpes, E tv s Lor nd University

ECMI modelleerimisndalad tudengitele Moodustab osa magistri ppe n idisprogrammist. Erinevate riikide tudengid tulevad kokku ja veedavad he n dala partner likooli juures t tades reaalalust p rinevate probleemide kallal. Igat r hma juhub ECMI instruktor, kes tutvustab probleemi ja juhendab tudengeid. Tudengid presenteerivad oma tulemusi n dala l pus ja kirjutavad aruanded.

Niteid 2019. a Grenobles toimunud modelleerimisndala lesanetest: Project 1 - Modelling the effects of an earthquake on buildings. Instructor: Sanja Ru i i - Faculty of Sciences University of Novi Sad An earthquake is a sudden movement of the ground caused by the release of stress accumulated along geologic faults or by volcanic activity. Some of them have caused a great devastation and destruction of people's properties. It is known that building suffers the greatest damage if a frequency of the ground motion is close to its own frequency. In that case we say that the building and the ground motion are in resonance. Even though the resonance can cause a major damage, its effects can be reduced. So, nowadays it should be imperative to design the buildings that will resist the earthquakes forces and that are more likely to suffer reparable damage. It is natural to assume that the earthquake ground motion is characterized by its duration, displacement from the equilibrium point, velocity and acceleration which is a critical factor in determining how much damage a building will suffer. The aim of this project is to give the mathematical model and investigate how an earthquake effects the buildings of different structures since different buildings respond in widely differing manners to the same earthquake ground motion. It is expected that some numerical simulations will be performed.

Project 2 - Drug delivery into the eye: therapeutic lenses versus intracameral implants. Instructor: Jos Augusto Ferreira - Centre for Mahematics of University of Coimbra Treatment of Glaucoma Topical drops and ointments are the conventional drug delivery formulations to treat eye diseases. However, due to several eye barriers only a small amount of drug reaches the anterior chamber. New drug delivery systems were proposed to avoid eye barriers, like therapeutic contact lens that increases the residence time of the drug in the cornea, and biodegradable intracameral implants that are placed in the anterior chamber. Both drug delivery systems are made of polymers that lead to a controlled drug release. This project aims to analyse the efficacy of the delivery systems: a therapeutic lens and a biodegradable intracameral implant. We consider that the increase of IOP is due to the decrease of the porosity of the trabecular meshwork. From mathematical point of view, the efficacy is measured considering the drug mass that reaches the trabecular meshwork. The mathematical models that describe the drug release from these drug delivery systems and their transport until the target are defined by systems of partial differential equations (PDEs) that are completed with interface, boundary and initial conditions. It should be pointed out that the aqueous humor dynamics has an important role in the drug transport in the anterior chamber.

Project 3 - Checking the "evenness" of a floor. Instructor: Thomas Goetz - University of Koblenz-Landau According to the German DIN-standard 18202 the "evenness" of a floor in building is measured by laying a measuring stick of length L (L=0.1m, 1m 2m or 4m) on the floor and measuring the gap (pitch) between the stick and the actual surface of the floor. Accoring to the DIN 18202, this pitch has to be below a certain threshold depending on the desired quality of the floor and depending on the length of the measuring stick. The company CHEMICON is construction floor in building and the need to ensure that the final floor satisfies the criteria of the DIN standard. Since manual measurements (using the stick and measuring the gap) a extremely time consuming, the want to use a laser scanner taking images of the surface. Based on this ditialized surface image, it has to be checked whether the DIN standard is satiesfied or not. For the given project we do have some real data from actual laser scans of various buildings.

ECMI muudest tegevustest Konverentsid: ECMI konverents iga kahe aasta tagant (2020.a konverents on edasi l katud 2021.a), Publikatsioonid: ECMI Journal of Mathematics in Industry (1.1 ajakiri), Springer subseries The European Consortium for Mathematics in Industry of the Mathematics in Industy series, Annual report, Newsletter, blogi ECMI kodulehel

ECMI blog kodulehel. N iteid minu postitustest: https://ecmiindmath.org/2018/01/26/applying-non-parametric- methods-on-environmental-data/ https://ecmiindmath.org/2018/01/17/energy-prediction-models-for- wireless-sensor-nodes/ https://ecmiindmath.org/2018/01/23/recovering-parameters-of- generalized-fractional-diffusion-models/

Tstusmatemaatika vajaduse uuring 2007.a Eesti ettev tete hulgas (P. Miidla poolt teostatud) Piimat stusettev te: pakendi optimeerimine, juust kas bloki v i silindrina, logistika (piima kokkuost, mahutite t hjendamine) Spektromeetreid tootev ettev te: kiire Fourier teisendus, aegrea korrastamine Kaardirakenduste ja geo-infos steemide ettev te: positsioneerimise tarkvara, r ndkaupmehe lesanne Insenerib roo: optimeerimis lesanded (maksumus), ehitusj rjekord Klaaspakette tootev ettev te: tootmise planeerimine, logistika T stuselektrooniat tootev ettev te: logistika, lainejootmine (vigade minimeerimine), lao optimeerimine

Tstusmatemaatika vajaduse uuring (jtk) Ehitusettev te: optimeerimis lesanded, lletehas: logistika, tootmise planeerimine