MS-A0402 - Foundations of Discrete Mathematics, Lecture, 24.2.2025-10.4.2025

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Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

  1. Mathematical skills: After completing the course, the student:

    1. understands the concept of proof and its necessity.

    2. is able to formulate mathematical statements using sets, functions and logical symbols.

    3. is able to apply the induction principle in various situations.

    4. knows how to count combinatorially defined objects using the multiplication principle and the principle of inclusion-exclusion.

    5. can construct graphs describing both everyday and scientific situations.

    6. is able to heuristically solve colouring and spanning tree problems on small graphs.

    7. can solve linear Diophantine equations and compute in modular arithmetic.

  2. Generic skills: Through the course, the student develops their ability to

    1. collaborate to solve problems in groups.

    2. communicate mathematical ideas coherently in written and oral form.

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
Prerequisites

FURTHER INFORMATION

Further Information

  • valid for whole curriculum period:

    Teaching Language: English

    Teaching Period: 2024-2025 Spring IV
    2025-2026 Spring IV

Rules of Conduct - Students´ Rights and Responsibilities (in force from 1 August 2020)

Aalto University Code of Academic Integrity and Handling Violations Thereof