Title 
Probability and Statistics

Semester 
F2023

Master programme in 
Mathematics * / Mathematical Physical Modelling * / Mathematical Computer Modelling * / Mathematical Bioscience / Physics and Scientific Modelling

Type of activity 
Course 
Teaching language 
English

Study regulation  
REGISTRATION AND STUDY ADMINISTRATIVE  
Registration 
Sign up for study activities at stads selvbetjening within the announced registration period, as you can see on the Studyadministration homepage. When signing up for study activities, please be aware of potential conflicts between study activities or exam dates. The planning of activities at Roskilde University is based on the recommended study programs which do not overlap. However, if you choose optional courses and/or study plans that goes beyond the recommended study programs, an overlap of lectures or exam dates may occur depending on which courses you choose. 
Number of participants 

ECTS 
5

Responsible for the activity 
Carsten Lunde Petersen (lunde@ruc.dk)

Head of study 
Jesper Schmidt Hansen (jschmidt@ruc.dk)

Teachers 

Study administration 
INM Registration & Exams (inmexams@ruc.dk)

Exam code(s) 
U60166

ACADEMIC CONTENT  
Overall objective 
The overall objective of the course in Probability and Statistics is to endow the student with a fundamental understanding of how the mathematical theory of probability and statistics is constructed, enabling the student to critically reflect on how statistical analysis of data is applied. 
Detailed description of content 
Probability theory as an axiomatic mathematical theory:
Statistics:

Course material and Reading list 
There is no formal textbooks in this course. The curriculum consists of former lecture notes which will be handed out through moodle. 
Overall plan and expected work effort 
The course will be planned as a mixture of lectures and solving of exercises including discussions of exercises. The workload is 5 ECTS corresponding to 135 hours The stipulated workload distribution is:

Format 

Evaluation and feedback 
The course includes formative evaluation based on dialogue between the students and the teacher(s). Students are expected to provide constructive critique, feedback and viewpoints during the course if it is needed for the course to have better quality. Every other year at the end of the course, there will also be an evaluation through a questionnaire in SurveyXact. The Study Board will handle all evaluations along with any comments from the course responsible teacher. Furthermore, students can, in accordance with RUCs ‘feel free to state your views’ strategy through their representatives at the study board, send evaluations, comments or insights form the course to the study board during or after the course. 
Programme 
The course will be planned as a mixture of lectures and solving of exercises including discussions of exercises. Class by Class program will emerge on Moodle during the course with the following themes. Probability theory:
Statistics:

ASSESSMENT  
Overall learning outcomes 
After the course the student will be able to

Form of examination 
Individual oral exam without time for preparation.
Time allowed for exam including time used for assessment: 30 minutes. Permitted support and preparation materials: All. Assessment: 7point grading scale. Moderation: Internal coassessor. 
Form of Reexamination 
Samme som ordinær eksamen / same form as ordinary exam

Type of examination in special cases 

Examination and assessment criteria 
The students produce a portefolio consisting of 3 sets of exercises and one miniproject. All 4 can be handedin for review by the teacher. At the beginning of the exam the student draws a random portfolio element for presentation without further preparation. The presentation may be interrupted by clarifying questions and the presentation will be followed by a discussion and questioning with in the curriculum of the course. The Assessement chriteria for the written part of the exam
The assessment of the oral exam is based on the student’s ability to meet the criteria mentioned above and their ability to
Furthermore, whether the performance meets all formal requirements in regard to both for the written og oral exam 
Exam code(s)  
Last changed  06/03/2023 