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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
MVE346 - Environment and mathematical modelling  
Syllabus adopted 2016-02-12 by Head of Programme (or corresponding)
Owner: TKTEM
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: Second-cycle
Major subject: Mathematics

Teaching language: Swedish

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0115 Project 2,5c Grading: UG   2,5c    
0215 Examination 5,0c Grading: TH   5,0c   30 May 2017 am SB_DATA   Contact examiner,  23 Aug 2017 am SB_DATA

In programs



Docent  Daniel Johansson


MVE345   Environment and mathematical modelling


Environment 7,5 hec

  Go to Course Homepage


In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

Course specific prerequisites

The course MVE161


To give a general survey of sustainable development and to broadening and deepening the knowledge and ability to model complex phenomena primarily with relation to environmental applications.

Learning outcomes (after completion of the course the student should be able to)

After the course the student should have acquired the ability to:
· explain the importance of sustainable development in its three dimensions: ecological, economic and social
· give an overview of human impact and effects on Earth's climate and ecosystems
· describe the challenges and strategies to reduce human impact on climate and ecosystems
· set up mathematical models of selected environmental problems, solving or simulating these models, and reflect on the modelling process
· analyze results of solutions or simulations of models, evaluate qualities of the models and their limitations for a given purpose
· explain what is meant with resilience in ecosystems and explain mathematical principles for local and global stability, and abrupt changes in the equilibrium of dynamical systems
· show awareness of ethical aspects


The course contains three parts:
 A. The concept sustainable development and an overview of some key environmental and resource problems
 B. Global climate change
 · Basics on science behind global climate change
 · Simple climate models
 · Possible solutions to the global problem of climate change
 C. Ecosystem Modeling
 · Population Dynamics
 · Modelling of ecosystems
 · Resilience, stability and abrupt changes in ecosystems
D. Basics on game theory as a tool to study aspects of the parts A-C


The course includes on-line materials for self studies, seminars, lectures, hand-ins, and computer labs.


Texts made available through the course webpage. Any additional reading material will be announced later.


Passed result of the project includes: participate at seminars, presentation of lab project, written hand-in. The written exam is performed as a computer exam.

Page manager Published: Thu 04 Feb 2021.