Project - Applied Mathematics, 12 credits

Projektkurs i tillämpad matematik, CDIO, 12 hp

TATA62

Main field of study

Mathematics Applied Mathematics

Course level

Second cycle

Course type

Programme course

Examiner

Elina Rönnberg

Director of studies or equivalent

Nils-Hassan Quttineh

Education components

Preliminary scheduled hours: 20 h
Recommended self-study hours: 300 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Chinese 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Chinese (Control and Information Systems) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Chinese (Engineering Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Chinese (Financial Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, French 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, French (Control and Information Systems) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, French (Engineering Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, French (Financial Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, German 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, German (Control and Information Systems) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, German (Engineering Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, German (Financial Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Japanese 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Japanese (Control and Information Systems) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Japanese (Engineering Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Japanese (Financial Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Spanish 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Spanish (Control and Information Systems) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Spanish (Engineering Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Spanish (Financial Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C
6CYYY Applied Physics and Electrical Engineering, Master of Science in Engineering 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping E
6CYYY Applied Physics and Electrical Engineering, Master of Science in Engineering (Control and Information Systems) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYY Applied Physics and Electrical Engineering, Master of Science in Engineering (Engineering Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C/E
6CYYY Applied Physics and Electrical Engineering, Master of Science in Engineering (Financial Mathematics) 9 (Autumn 2022) 1, 2 4, 4 Swedish Linköping C
6MMAT Mathematics, Master's Programme 3 (Autumn 2022) 1, 2 4, 4 Swedish Linköping E

Main field of study

Mathematics, Applied Mathematics

Course level

Second cycle

Advancement level

A1X

Specific information

The Entrepreneurship part overlap with other CDIO courses and cannot be included more than once in a degree.

Course offered for

  • Master of Science in Applied Physics and Electrical Engineering
  • Master of Science in Applied Physics and Electrical Engineering - International
  • Master's Programme in Mathematics

Prerequisites

The mandatory mathematics courses on the Applied Physics and Electrical Engineering programme. The course offers various projects, and depending on the project chosen additional prerequisites may be required. Knowledge about the LIPS project model

Intended learning outcomes

The project work shall be carried through in an industrial professional manner, and it shall develop and solidify the participants' competence in the following areas:

  • Analysing and structuring problems
  • Seeking out and assimilating supplementary knowledge
  • Writing and follow-up of project plans and time plans
  • Actively contributing to the project group functioning well
  • Applying knowledge from previous courses
  • Taking initiatives and finding creative solutions
  • Presenting results in writing and orally
  • Potential and limitations of using mathematical modeling as a real-world problem solving method
The result of the project work shall:
  • Maintain high technical standards, and be based on modern knowledge and methods in applied mathematics
  • Be documented with a project plan, a time plan, and a technical report
  • Be presented orally
  • Be followed up in a project reflection document
  • Fulfil the requirement specification

A purpose for the course is also for the students to acquire knowledge and abilities within the general area of entrepreneurship, with particular focus on business planning for new ventures. After the course, students should be able to:
  • account for models that describe what it takes for a new venture to have a stable basis for further development and to asess the level of development of ventures using such models; and
  • account for the information and analyses needed to evaluate a development project from a business point of view and have the ability to collect and analyse relevant information for the purpose.

    Course content

    New projects are offered every year and they are usually formulated in collaboration with an industrial partner or as part of a research project. They are based on knowledge from previous courses but can also require some acquisition of new knowledge of relevance to the project. Typically, we offer projects both with and without focus on finance. In finance the projects can cover estimation of term structures, pricing, risk measurement and hedging on interest rate, exchange rate and option markets. The topics of the other projects vary more and previous projects in collaboration with industry have, for example, addressed scheduling of software processes in electronic systems, planning of transports within a large warehouse building, scheduling of underground mines, and placements of thermal cameras to efficiently detect fires in large bio-fuel depots.

    Teaching and working methods

    One lecture for presenting the projects and the project model used in the course. In particular the lecture addresses how the use of a project model can contribute to professionalism and why experiences from using a project model is relevant to an engineer. 

    The project group shall consist of at least four students. Each group is assigned a supervisor to support its work. Before the project work is started, the project group shall negotiate a requirement specification with the customer, and write a project plan and a time plan for the project. The project shall be carried out according to the LIPS project model. The project documents shall adhere to the templates that are part of the LIPS model. 
    The course runs over the entire autumn semester.

    Examination

    PRA1Written and oral presentation of the project9 creditsU, G
    UPG1Entrepreneurship assignments3 creditsU, G
    The project work will be judged by the fulfilment of the aims of the course. The following three items are each graded by pass/fail: written documentation, oral presentation, and LIPS documents (including at least project plan, time plan, and a project reflection document). For a passing grade on the whole project, it is required that all three items are approved, and that the aims of the course are fulfilled.
    Grades are given as ’Fail’ or ’Pass’.

    Grades

    Two grade scale, older version, U, G

    Other information

    About teaching and examination language

    The teaching language is presented in the Overview tab for each course. The examination language relates to the teaching language as follows: 

    • If teaching language is “Swedish”, the course as a whole could be given in Swedish, or partly in English. Examination language is Swedish, but parts of the examination can be in English.
    • If teaching language is “English”, the course as a whole is taught in English. Examination language is English.
    • If teaching language is “Swedish/English”, the course as a whole will be taught in English if students without prior knowledge of the Swedish language participate. Examination language is Swedish or English depending on teaching language.

    Other

    The course is conducted in a manner where both men's and women's experience and knowledge are made visible and developed. 

    The planning and implementation of a course should correspond to the course syllabus. The course evaluation should therefore be conducted with the course syllabus as a starting point.  

    If special circumstances prevail, the vice-chancellor may in a special decision specify the preconditions for temporary deviations from this course syllabus, and delegate the right to take such decisions.

    Department

    Matematiska institutionen

    Course literature

    Compendia

    Other

    • Previous course literature and additional literature depending on the project

Code Name Scope Grading scale
PRA1 Written and oral presentation of the project 9 credits U, G
UPG1 Entrepreneurship assignments 3 credits U, G
The project work will be judged by the fulfilment of the aims of the course. The following three items are each graded by pass/fail: written documentation, oral presentation, and LIPS documents (including at least project plan, time plan, and a project reflection document). For a passing grade on the whole project, it is required that all three items are approved, and that the aims of the course are fulfilled.
Grades are given as ’Fail’ or ’Pass’.

Course syllabus

A syllabus must be established for each course. The syllabus specifies the aim and contents of the course, and the prior knowledge that a student must have in order to be able to benefit from the course.

Timetabling

Courses are timetabled after a decision has been made for this course concerning its assignment to a timetable module. 

Interruption in and deregistration from a course

The LiU decision, Guidelines concerning confirmation of participation in education (Dnr LiU-2020-02256), states that interruptions in study are to be recorded in Ladok. Thus, all students who do not participate in a course for which they have registered must record the interruption, such that the registration on the course can be removed. Deregistration from or interrupting a course is carried out using a web-based form: https://www.lith.liu.se/for-studenter/kurskomplettering?l=en

Cancelled courses and changes to the course syllabus

Courses with few participants (fewer than 10) may be cancelled or organised in a manner that differs from that stated in the course syllabus. The Dean is to deliberate and decide whether a course is to be cancelled or changed from the course syllabus. 

Guidelines relating to examinations and examiners 

For details, see Guidelines for education and examination for first-cycle and second-cycle education at Linköping University, Dnr LiU-2020-04501  (http://styrdokument.liu.se/Regelsamling/VisaBeslut/917592).

An examiner must be employed as a teacher at LiU according to the LiU Regulations for Appointments, Dnr LiU-2021-01204 (https://styrdokument.liu.se/Regelsamling/VisaBeslut/622784). For courses in second-cycle, the following teachers can be appointed as examiner: Professor (including Adjunct and Visiting Professor), Associate Professor (including Adjunct), Senior Lecturer (including Adjunct and Visiting Senior Lecturer), Research Fellow, or Postdoc. For courses in first-cycle, Assistant Lecturer (including Adjunct and Visiting Assistant Lecturer) can also be appointed as examiner in addition to those listed for second-cycle courses. In exceptional cases, a Part-time Lecturer can also be appointed as an examiner at both first- and second cycle, see Delegation of authority for the Board of Faculty of Science and Engineering.

Forms of examination

Principles for examination

Written and oral examinations and digital and computer-based examinations are held at least three times a year: once immediately after the end of the course, once in August, and once (usually) in one of the re-examination periods. Examinations held at other times are to follow a decision of the faculty programme board.

Principles for examination scheduling for courses that follow the study periods:

  • courses given in VT1 are examined for the first time in March, with re-examination in June and August
  • courses given in VT2 are examined for the first time in May, with re-examination in August and October
  • courses given in HT1 are examined for the first time in October, with re-examination in January and August
  • courses given in HT2 are examined for the first time in January, with re-examination in March and in August.

The examination schedule is based on the structure of timetable modules, but there may be deviations from this, mainly in the case of courses that are studied and examined for several programmes and in lower grades (i.e. 1 and 2). 

Examinations for courses that the faculty programme board has decided are to be held in alternate years are held three times during the school year in which the course is given according to the principles stated above.

Examinations for courses that are cancelled or rescheduled such that they are not given in one or several years are held three times during the year that immediately follows the course, with examination scheduling that corresponds to the scheduling that was in force before the course was cancelled or rescheduled.

When a course, or a written examination (TEN, DIT, DAT), is given for the last time, the regular examination and two re-examinations will be offered. Thereafter, examinations are phased out by offering three examinations during the following academic year at the same times as the examinations in any substitute course. If there is no substitute course, three examinations will be offered during re-examination periods during the following academic year. Other examination times are decided by the faculty programme board. In all cases above, the examination is also offered one more time during the academic year after the following, unless the faculty programme board decides otherwise. In total, 6 re-examinations are offered, of which 2 are regular re-examinations. In the examination registration system, the examinations given for the penultimate time and the last time are denoted. 

If a course is given during several periods of the year (for programmes, or on different occasions for different programmes) the faculty programme board or boards determine together the scheduling and frequency of re-examination occasions.

Retakes of other forms of examination

Regulations concerning retakes of other forms of examination than written examinations and digital and computer-based examinations are given in the LiU guidelines for examinations and examiners, http://styrdokument.liu.se/Regelsamling/VisaBeslut/917592.

Course closure

For Decision on Routines for Administration of the Discontinuation of Educational Programs, Freestanding Courses and Courses in Programs, see DNR LiU-2021-04782. After a decision on closure and after the end of the discontinuation period, the students are referred to a replacement course (or similar) according to information in the course syllabus or programme syllabus. If a student has passed some part/parts of a closed program course but not all, and there is an at least partially replacing course, an assessment of crediting can be made. Any crediting of course components is made by the examiner.

Registration for examination

In order to take an written, digital or computer-based examination, registration in advance is mandatory, see decision in the university’s rule book https://styrdokument.liu.se/Regelsamling/VisaBeslut/622682. An unregistered student can thus not be offered a place. The registration is done at the Student Portal or in the LiU-app during the registration period. The registration period opens 30 days before the date of the examination and closes 10 days before the date of the examination. Candidates are informed of the location of the examination by email, four days in advance. 

Code of conduct for students during examinations

Details are given in a decision in the university’s rule book: http://styrdokument.liu.se/Regelsamling/VisaBeslut/622682.

Retakes for higher grade

Students at the Institute of Technology at LiU have the right to retake written examinations and digital and computer-based examinations in an attempt to achieve a higher grade. This is valid for all examination components with code “TEN”, “DIT” and "DAT". The same right may not be exercised for other examination components, unless otherwise specified in the course syllabus.

A retake is not possible on courses that are included in an issued degree diploma. 

Grades

The grades that are preferably to be used are Fail (U), Pass (3), Pass not without distinction (4) and Pass with distinction (5). 

  • Grades U, 3, 4, 5 are to be awarded for courses that have written or digital examinations.
  • Grades Fail (U) and Pass (G) may be awarded for courses with a large degree of practical components such as laboratory work, project work and group work.
  • Grades Fail (U) and Pass (G) are to be used for degree projects and other independent work.

Examination components

The following examination components and associated module codes are used at the Faculty of Science and Engineering:

  • Grades U, 3, 4, 5 are to be awarded for written examinations (TEN) and digital examinations (DIT).
  • Examination components for which the grades Fail (U) and Pass (G) may be awarded are laboratory work (LAB), project work (PRA), preparatory written examination (KTR), digital preparatory written examination (DIK), oral examination (MUN), computer-based examination (DAT), home assignment (HEM), and assignment (UPG).
  • Students receive grades either Fail (U) or Pass (G) for other examination components in which the examination criteria are satisfied principally through active attendance such as tutorial group (BAS) or examination item (MOM).
  • Grades Fail (U) and Pass (G) are to be used for the examination components Opposition (OPPO) and Attendance at thesis presentation (AUSK) (i.e. part of the degree project).

In general, the following applies:

  • Mandatory course components must be scored and given a module code.
  • Examination components that are not scored, cannot be mandatory. Hence, it is voluntary to participate in these examinations, and the voluntariness must be clearly stated. Additionally, if there are any associated conditions to the examination component, these must be clearly stated as well.
  • For courses with more than one examination component with grades U,3,4,5, it shall be clearly stated how the final grade is weighted.

For mandatory components, the following applies (in accordance with the LiU Guidelines for education and examination for first-cycle and second-cycle education at Linköping University, http://styrdokument.liu.se/Regelsamling/VisaBeslut/917592): 

  • If special circumstances prevail, and if it is possible with consideration of the nature of the compulsory component, the examiner may decide to replace the compulsory component with another equivalent component.

For possibilities to alternative forms of examinations, the following applies (in accordance with the LiU Guidelines for education and examination for first-cycle and second-cycle education at Linköping University, http://styrdokument.liu.se/Regelsamling/VisaBeslut/917592): 

  • If the LiU coordinator for students with disabilities has granted a student the right to an adapted examination for a written examination in an examination hall, the student has the right to it.
  • If the coordinator has recommended for the student an adapted examination or alternative form of examination, the examiner may grant this if the examiner assesses that it is possible, based on consideration of the course objectives.
  • An examiner may also decide that an adapted examination or alternative form of examination if the examiner assessed that special circumstances prevail, and the examiner assesses that it is possible while maintaing the objectives of the course.

Reporting of examination results

The examination results for a student are reported at the relevant department.

Plagiarism

For examinations that involve the writing of reports, in cases in which it can be assumed that the student has had access to other sources (such as during project work, writing essays, etc.), the material submitted must be prepared in accordance with principles for acceptable practice when referring to sources (references or quotations for which the source is specified) when the text, images, ideas, data, etc. of other people are used. It is also to be made clear whether the author has reused his or her own text, images, ideas, data, etc. from previous examinations, such as degree projects, project reports, etc. (this is sometimes known as “self-plagiarism”).

A failure to specify such sources may be regarded as attempted deception during examination.

Attempts to cheat

In the event of a suspected attempt by a student to cheat during an examination, or when study performance is to be assessed as specified in Chapter 10 of the Higher Education Ordinance, the examiner is to report this to the disciplinary board of the university. Possible consequences for the student are suspension from study and a formal warning. More information is available at https://www.student.liu.se/studenttjanster/lagar-regler-rattigheter?l=en.

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva

Compendia

Other

Previous course literature and additional literature depending on the project

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1. DISCIPLINARY KNOWLEDGE AND REASONING
1.1 Knowledge of underlying mathematics and science (G1X level)
X
X
PRA1

                            
1.2 Fundamental engineering knowledge (G1X level)
X
PRA1

                            
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
PRA1

                            
1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)

                            
1.5 Insight into current research and development work

                            
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
2.1 Analytical reasoning and problem solving
X
X
PRA1

                            
2.2 Experimentation, investigation, and knowledge discovery
X
X
PRA1

                            
2.3 System thinking
X
PRA1

                            
2.4 Attitudes, thought, and learning
X
X

                            
2.5 Ethics, equity, and other responsibilities
X
X

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork
X

                            
3.2 Communications
X
X
PRA1

                            
3.3 Communication in foreign languages
X

                            
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
4.1 External, societal, and environmental context

                            
4.2 Enterprise and business context
X
UPG1

                            
4.3 Conceiving, system engineering and management

                            
4.4 Designing

                            
4.5 Implementing
X
UPG1

                            
4.6 Operating

                            
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development

                            
5.2 Economic conditions for knowledge development

                            
5.3 Identification of needs, structuring and planning of research or development projects

                            
5.4 Execution of research or development projects

                            
5.5 Presentation and evaluation of research or development projects

                            

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