Course PM

This page contains the program of the course. Other information, such as learning outcomes, teachers, literature and examination, are in a separate course PM.

Course examiner: Alexei Heintz, heintz{at}chalmers.se

Teaching in statistics: Serik Sagitov serik{at}chalmers.se

Program

The main idea of this course is that last year master students should practice the role as mathematics/statistics consultants for industrial and research-related projects. The main part therefore consists of working on your projects within small groups of  2- 3 people, meeting with your external partners and with the course coordinator and the teacher in statistics as necessary.

Working groups will be build and assigned to particular projects from the available list by the course coordinator. It will be done according to preferences and experiences of particular groups and individual students.

Chalmers introduced learning of ethical problems in engineering within this course. It will include 3-4 hours lectures on the topic and a workshop on this topic at the end of the course (alternatively an essay on the topic) . Working groups will make short presentations about ethical questions in the relation with their work on their project and will take part in the follow up discussion with  other groups. Some printed material on the topic will be supplied by the course coordinator.

Main areas of applications and methods for the projects are:

• Simulation of mass flow processes in industry using PDE modeling with Comsol and Gesualdo packages.
  

• Microfluidics for cell biology and material science applications with PDE modelling by Comsol.
  

• Simulation of drape dynamics by ODEs.

• Simulation of heterogeneous materials.

• Image, video and and signal processing for various applications.
  

• Stochastic data analysis and machine learning for various applications.
  

• Discrete and continuous optimization, stochastic and classical.
  

• Prototype clinical decision support system 

Master projects are possible as the extension of  some of the topics.

The tentative schedule of the course is given in the weekly program below.  Exact times for workshops on ethics and for presentations of reports will be specified later depending on particular situations in different working groups.

We will use larger Vasa A or Pascal for the first three occasions of the course scheduled in TimeEdit. We will use MVF31 later for consultations and for workshops. Otherwise the schedule given in TimeEdit does not represent the real way of work at this course.

Weekly program (Check Assignments for exact deadlines of the key steps in the course)

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Course requirements

To pass the course you must fulfill the following tasks formulated as Assignments in Canvas:

• Hand in rankings of the projects and descriptions of your mathematical qualifications and programming experience
• Hand in a working plan according to instructions.
• Hand in a preliminary report according to instructions.
• Present your project results in an oral presentation (about 20-30 min)
• Report your project in a scientific report according to instructions.
• Take part in the presentation and discussion at the workshop on ethical problems in engineering. Alternatively students absent in the city at the time of the workshop can write an individual essay on the topic.

Examination

The course is passed when all course requirements formulated above are met.
Grades will be given based mainly on the final project report and on the feedback from the industrial partners,
but oral presentations, participation in the workshop on ethics in engineering and work during the project will also be weighed in.
The report should be a full high-quality report written in English according to instructions.

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