Research in the Mathematical Sciences, 7.5 Credits
Swedish name: Forskning inom matematiska vetenskaper
This syllabus is valid: 2020-08-17
valid to
2023-07-23
(newer version of the syllabus exists)
Course code: 5MA200
Credit points: 7.5
Education level: Second cycle
Main Field of Study and progress level:
Mathematics: Second cycle, has only first-cycle course/s as entry requirements
Mathematical Statistics: Second cycle, has only first-cycle course/s as entry requirements
Established by: Faculty Board of Science and Technology, 2020-02-24
Contents
The course serves an introduction to studies in mathematics at the graduate level and research mathematics. One goal of the course is for students to learn how to read and integrate advanced and research-level mathematics, including strategic planning from a research perspective, and how to present this material in both written and oral form and in different modes or settings. The course also includes a treatment of the conventions and practices of mathematical research and applied mathematics, the ethical issues these entail, and tools to reflect critically about them.
Expected learning outcomes
For a passing grade, the student must be able to
Knowledge and understanding
discuss the conventions and practices of advanced level mathematics and mathematical research
Skills and abilities
read research-level mathematical papers, identify the structure of the arguments in a proof and understand them at a global level
present research and advanced-level mathematics in written and oral form, and in different modes or settings
identify the resources relevant to a research problem or paper, their relative importance, and the order in which and with which focus they should be used or read
Judgement and approach
reflect critically about the conventions and practices of mathematical research and applied mathematics, and the ethical issues these entail
identify the background knowledge or techniques necessary to attack texts in advanced level mathematics, research papers or research problems, and the means to acquire them
Required Knowledge
A Bachelor's degree or equivalent first-cycle qualification comprising of at least 180 ECTS or a corresponding qualification from an internationally recognised university. Specific entry requirements are at least 30 ECTS in Mathematics, at least 7,5 ECTS in Mathematical Statistics, and at least 7,5 ECTS in Programming Methodology, or equivalent. Proficiency in English equivalent to Swedish upper secondary course English B/6.
Form of instruction
The teaching consists of lectures and seminars
Examination modes
The course is assessed through written assignments and oral presentations as well as active seminar participation. The course as a whole is graded on a Fail (U), Pass (G), Pass with distinction (VG) scale. For a grade of Pass (G), a student must obtain a grade G or VG on all parts of the assessment. For a grade of Pass with distinction (VG), a student must in addition obtain a grade VG on at least 75% of those assignments and presentations that are graded on a U/G/VG scale.
Deviations from the syllabus examination form can be made for a student who has a decision on pedagogical support due to disability. Individual adaptation of the examination form shall be considered based on the student's needs. The examination form is adapted within the framework of the expected learning outcomes of the course syllabus. At the request of the student, the course coordinator, in consultation with the examiner, must promptly decide on the adapted examination form. The decision shall then be communicated to the student.
A student who has been awarded a passing grade for the course cannot be reassessed for a higher grade. Students who do not pass a test or examination on the original date are given another date to retake the examination. A student who has sat two examinations for a course or a part of a course, without passing either examination, has the right to have another examiner appointed, provided there are no specific reasons for not doing so (Chapter 6, Section 22, HEO). The request for a new examiner is made to the Head of the Department of Mathematics and Mathematical Statistics. Examinations based on this course syllabus are guaranteed to be offered for two years after the date of the student's first registration for the course.
Credit transfer All students have the right to have their previous education or equivalent, and their working life experience evaluated for possible consideration in the corresponding education at Umeå university. Application forms should be adressed to Student services/Degree evaluation office. More information regarding credit transfer can be found on the student web pages of Umeå university, http://www.student.umu.se, and in the Higher Education Ordinance (chapter 6). If denied, the application can be appealed (as per the Higher Education Ordinance, chapter 12) to Överklagandenämnden för högskolan. This includes partially denied applications
Other regulations
In a degree, this course may not be included together with another course with a similar content. If unsure, students should ask the Director of Studies in Mathematics and Mathematical Statistics.
