AK2040 Theory and Methodology of Science with Applications (Computational Science) 7.5 credits

The following is an incomplete list of topics covered in the course.

• Scientific knowledge
• Definitions
• Hypothesis testing
• Observations and measurements
• Experiments
• Models
• Statistical reasoning
• Causes and explanations
• Qualitative methods
• Algorithmic reasoning and its limitations
• Risk and decisions of risks
• Research ethics
• Philosophical theories about mathematical objects’ nature
• Theorethical representation theorems of measurement
• Theoretical virtues in mathematical models

After having completed the course, the student should, with regards to the theory and methodology of science, both orally as well as in writing, be able to:

• Identify definitions and descriptions of concepts, theories and problem areas, as well as identify the correct application of these concepts and theories.
• Account for concepts, theories and general problem areas, as well as apply concepts and theories to specific cases.
• Critically discuss the definitions and applications of concepts and theories as they applies to specific cases of scientific research.

These learning objectives are examined in writing via an exam and orally via seminars. 

• chart the main lines of thought in some different philosophical theories about the nature of mathematical objects and our knowledge of them.
• describe the content of some representation theorems from the theory of measurement, and discuss the import of these theorems concerning the relationship between mathematical structures and the material world.
• compare different mathematical models of one and the same phenomenon with regard to theoretical virtues such as simplicity, agreement with observations, etc.

These learning objectives are examined in writing via a project work.

General requirements for master’s programmes. Proficiency in English corresponding to English B / English 6 in Swedish gymnasium.

All material is avaiable through the course platform. The following literature has previously been used:

·       Till Grüne-Yanoff ” Justified Method Choice – Methodology for Scientists and Engineers” (kompendium).

·       Articles distrubuted during the course.

If the course is discontinued, students may request to be examined during the following two academic years.

• PRO1 - Project, 3.0 credits, grading scale: P, F
• SEM1 - Seminars, 1.5 credits, grading scale: P, F
• TENB - Written exam, 3.0 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

A student can be examined in SEM1 with written assignments that replace attendance at seminars, provided that an agreement is in place for the student to take the course remotely.

Fullfilled seminar requirements, project requirements and written exam.

Students have to right to take the exam on TEN1 up to five times and thus potentially improve (“plussa”) their grade. After that, the examiner has to formally allow such an attempt at improving (“plussa”) one’s grade. 

Till Grüne-Yanoff

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Course coordinator: Henrik Lundvall