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The MAS degree, Master of Applied Statistics, is an interdisciplinary study at the University of Iceland. The study is 90 ECTS and on completion the student is entitled to the MAS degree. Students take 60 ECTS in courses and a 30 ECTS project. The goal of the MAS study is for the student to know and understand the basic concepts of modern statistics and be able to apply these to projects in other fields. 1. Knowledge: Students who graduate with an MAS degree have extensive knowlede and understanding of applied statistics, as used in various fields. This involves: 1.1. The student knows the aspect of statistics which form a basis for modern statistics: experimental design, data collection and storage, simulation, generalized linear models and survival analysis. 1.2. The student knows selected aspects of an associated field (if applicable), which combine to make a basis for continuing in that field. 1.3. The student has knowledge and understanding of the uses of statistics through solving and studying applied projects and with modeling in scientific applications. 1.4. The student has basic knowledge of using computers, including programming, at least in R. 1.5. The student knows selected statistical topics which are more extensive than those listed in item 1.1. 2. Skills: Students who graduate with an MAS degree can use statistical methods in a logical manner to solve applied projects using existing software and using their own programming. This involves: 2.1. The student can apply statistics in a l ...
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On completion of studies students should: Knowledge know and have a deep understanding of the mathematics taught in upper-secondary School and be able to utilize the theoretical basis in their teaching be familiar with the main ideas about the structure of mathematics, in particular the concept of proof, and be able to distinguish between correct and incorrect reasoning know the diversity and breadth of topics in mathematics and how mathematics is built up as a modern discipline know various ways to include applications of mathematics in their teaching know and understand the technical solutions related to the work of teachers, in particular the treatment of text and numbers, multimedia and communication Skills be able to apply their knowledge of mathematics education to plan and implement mathematics teaching have skills in computer use and programming have skills in mathematical reasoning and proof have acquired originality and openness of thought when working on projects in the field of mathematics and mathematics education Competence be able to apply mathematical reasoning to solve theoretical and practical tasks related to the secondary school curriculum be able to organize teaching of mathematics in a variety of ways to accommodate the needs of each student be able to use instructional materials, equipment, software and other technologies in teaching and learning be able to share their understanding and knowledge of mathematical topics in a clear and precise manner ...
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Definition The PhD degree in mathematics is a three-year course of studies at the Faculty of Physical Sciences, University of Iceland. The course is at least 180 ECTS and on completion the student is entitled to the degree of philosophiae doctor. The main part of the course is a research project worth 180 ECTS under the direction of a supervisor. The student writes a thesis which testifies to a wide and thorough knowledge in a chosen field and contains new and important results. Type of knowledge Advanced knowledge, theoretical and practical, focusing in depth on the latest research advances in a specialised field. Knowledge, ability and skills On completion of his/her studies the student should be able to demonstrate knowledge, ability and skills as follows: 1 Knowledge and understanding1.1 The student has a deep and thorough knowledge in a chosen specialised area of mathematics that is the subject of active research. 1.2 The student understands the place of his/her specialised subject within the body of mathematical knowledge and knows its connections with other specialised areas. 2 Theoretical skills2.1 The student has full mastery over a chosen specialised area of mathematics.2.2 The student can initiate the creation of new mathematical knowledge as he/she has demonstrated such by presenting new and important results in his/her thesis.2.3 The student can conduct research independently in his/her specialised field.2.4 The student can solve demanding theoretical problems in his/her specialised field. 3 Pract ...
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Knowledge: On completion of the study programme the student shall be able to: Demonstrate extensive knowledge and understanding of the theoretical foundations of statistics. Contribute new knowledge to statistics, by extending statistical methods or theories. Discuss recent research in applied and theoretical statistics. Skills: On completion of the study programme the student shall be able to: Plan and apply statistical methods and theory to develop and solve complex problems. Use computer software and computer programming to solve applied and theoretical statistical projects. Competences: On completion of the study programme the student shall be able to: Use statistical reasoning at a level including the development of new statistical methods, and explain these to scholars and a general audience. Derive and communicate to scholars the theoretical foundations of new statistical methods. Demonstrate independent, broad-minded and critical thinking, and innovative approaches in solving problems. ...
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Definition The MS-degree in mathematics is a two year course of studies at the Faculty of Physical Sciences, School of Engineering and Natural Sciences, University of Iceland. The course consists of 120 ECTS and on its completion the student is entitled to the degree of magister scientiarum. The entrance requirement is a BSc degree in mathematics or its equivalent with a minimum mark of 65%. The course of studies consists of taught courses and a dissertation. The latter 60 or 90 ECTS. Type of knowledgeAdvanced knowledge, theoretical and practical, with marked specialisation emphasising recent developments. Knowledge, ability and skillsOn completion of his/her studies the student should be able to demonstrate knowledge, ability and skills as follows: 1 Knowledge and understanding1.1 The student has acquired knowledge and understanding in selected specialised areas of mathematics which are the subject of active research.1.2 The student understands the nature of mathematical research and creativity in mathematics.1.3 The student has sufficient knowledge in a selected area of mathematics to begin a doctorate. 2 Practical ability and skills2.1 The student can solve demanding theoretical, practical or applied problems in his/her specialised area. 3 Theoretical skills3.1 The student has a fair mastery of a complex, modern subject area of mathematics.3.2 The student can solve demanding, theoretical problems in selected specialised areas of mathematics. 4 Communication skills and information literacy4.1 The student can ...
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Basic knowledge, theoretical and practical, covering the breadth of what is fundamental to modern mathematics, but including some degree of specialisation. Knowledge, ability and skillsOn completion of his/her studies the student should be able to demonstrate knowledge, ability and skills as follows: 1 Knowledge and understanding1.1 The student knows those parts of analysis, algebra, geometry and probability theory that form the basis of modern mathematics.1.2 The student knows selected parts of his/her minor subject (where appropriate) that form a connected whole and can serve as a basis for further studies in the subject.1.3 The student has acquired knowledge and understanding of the use of mathematics for the study and solution of applied problems(1) and for modelling in scientific applications.1.4 The student has acquired basic knowledge of computer programming and the use of computers.1.5 The student knows selected topics in mathematics that go beyond those listed in 1.1 or lie outside of them.1.6 The student understands the concept of mathematical proof and the distinction between correct and incorrect mathematical arguments.1.7 The student has acquired mathematical knowledge that can serve as a basis for further studies in mathematics and related subjects. 2 Practical ability and skills2.1 The student can use mathematics in a logically justified fashion to solve theoretical and practical mathematical problems.(*)2.2 The student can use mathematics to solve applied problems (*) or to construct mathematica ...
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Knowledge: On completion of the study program the student shall have an extensive knowledge and understanding of statistics, which implies: The student knows applied statistical methods, which form the basis for modern statistics, and knows their theoretical foundations. The student is able to use computer software and programming to solve statistical problems. The student has sufficient knowledge of statistics for further studies in statistics. Skills: On completion of the study program the student shall be able to use the methods of statistics in a logical manner to solve statistical problems using existing software and computer programming, which implies: The student can apply statistics in a logical manner to solve theoretical and applied projects, using modeling approaches as appropriate. The student has expertise in the use of computers and computer programming to solve statistical projects. Competence: On completion of the study program the student shall be able to expand statistical methods, interpret and apply to new fields, which implies: The student has expertise in statistical reasoning. The student can implement and further develop statistical methods for a given project. The student can explain the theoretical foundations of common statistical methods. The student can use information technology to disseminate statistical results. ...
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