Probability and Statistics

5 credits

Syllabus, Bachelor's level, 1MS005

A revised version of the syllabus is available.

Code: 1MS005
Education cycle: First cycle
Main field(s) of study and in-depth level: Mathematics G1F
Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by: The Faculty Board of Science and Technology, 19 March 2007
Responsible department: Department of Mathematics

Entry requirements

Single Variable Calculus or Derivatives and Integrals

Learning outcomes

In order to pass the course (grade 3) the student should be able to

give an account of important concepts and definitions in the area of the course;

exemplify and interpret important concepts in specific cases;

use the theory, methods and techniques of the course to solve mathematical statistical problems;

express problems from relevant areas of applications in a form suitable for further mathematical statistical analysis, choose suitable models and solution techniques;

interpret and asses results obtained;

use statistical software;

present mathematical statistical arguments to others.

Higher grades, 4 or 5, require a higher level of proficiency. The student should be able to treat and solve problems of greater complexity, i.e. problems requiring a combination of ideas and methods for their solution, and be able to give a more detailed account of the proofs of important theorems and by examples and counter-examples be able to motivate the scope of various results.

Requirements concerning the student's ability to present arguments and reasoning are greater.

Content

The probability concept. Independence, conditional probability. Random variables. Common probability distributions. Expected value, variance. The law of large numbers. The central limit theorem. Applied probability problems. Statistical investigations. Descriptive statistics. Point and interval estimation. Regression analysis.

Instruction

Lectures and problem solving sessions.

Assessment

Written examination at the end of the course. Moreover, compulsory assignments may be given during the course.