LEARNING OUTCOMES
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Mathematical skills: After completing the course, the student:
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understands the concept of proof and its necessity.
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is able to formulate mathematical statements using sets, functions and logical symbols.
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is able to apply the induction principle in various situations.
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knows how to count combinatorially defined objects using the multiplication principle and the principle of inclusion-exclusion.
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can construct graphs describing both everyday and scientific situations.
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is able to heuristically solve colouring and spanning tree problems on small graphs.
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can solve linear Diophantine equations and compute in modular arithmetic.
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Generic skills: Through the course, the student develops their ability to
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collaborate to solve problems in groups.
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communicate mathematical ideas coherently in written and oral form.
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Credits: 5
Schedule: 24.02.2025 - 10.04.2025
Teacher in charge (valid for whole curriculum period):
Teacher in charge (applies in this implementation): Ragnar Freij-Hollanti
Contact information for the course (applies in this implementation):
CEFR level (valid for whole curriculum period):
Language of instruction and studies (applies in this implementation):
Teaching language: English. Languages of study attainment: English
CONTENT, ASSESSMENT AND WORKLOAD
Content
valid for whole curriculum period:
logic, sets, functions, relations, combinatorics, induction and recursion, modular arithmetic, permutation groups and symmetry groups, graphs.
Assessment Methods and Criteria
valid for whole curriculum period:
lectures, exercises and course exam OR exam only
Workload
valid for whole curriculum period:
24+24 (4+4).
DETAILS
Substitutes for Courses
valid for whole curriculum period:
Prerequisites
valid for whole curriculum period:
FURTHER INFORMATION
Further Information
valid for whole curriculum period:
Teaching Language: English
Teaching Period: 2024-2025 Spring IV
2025-2026 Spring IV