| Information |
| Theoretical |
 Aquires sufficient knowledge to enable one to do research over and above the undergraduate level
Learns theoretical foundations of his/her field thoroughly
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| Applied |
Uses the knowledge in his/her field to solve mathematical problems
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| Skills |
| Conceptual/Cognitive |
Proves basic theorems in different areas of Mathematics
Creates a model for the problems in his/her field and expresses the relationship between objects in a simple and comprehensive way.
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| Applied |
Uses technical tools in his/her field
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| Personal and Professional Qualifications |
| Competence to Work Independently and Take Responsibility |
Works independently in his/her field requiring expertise
Works with other colleagues collaboratelly, takes responsibilities if necessary during the research process
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| Learning Competency |
Argues and analyzes knowledge in his/her field and applies them in other fields if necessary
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| Communication and Social Competence |
Has sufficient knowledge to follow literature in his/her field and communicate with stakeholders
Uses the language and technology to develop knowledge in his/her field and shares these with stakeholders systematically when necessary
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| Field-Specific and Professional Competence |
Knows and abides by the ethical rules in analyzing, solving problems and publishing results
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