252-0025-01L  Discrete Mathematics

Courses

Catalogue data

Abstract	Content: Mathematical reasoning and proofs, abstraction. Sets, relations (e.g. equivalence and order relations), functions, (un-)countability, number theory, algebra (groups, rings, fields, polynomials, subalgebras, morphisms), logic (propositional and predicate logic, proof calculi).
Learning objective	The primary goals of this course are (1) to introduce the most important concepts of discrete mathematics, (2) to understand and appreciate the role of abstraction and mathematical proofs, and (3) to discuss a number of applications, e.g. in cryptography, coding theory, and algorithm theory.
Content	See course description.
Lecture notes	available (in english)
Competencies	Subject-specific Competencies Concepts and Theories assessed Techniques and Technologies assessed Method-specific Competencies Analytical Competencies assessed Decision-making fostered Problem-solving assessed Personal Competencies Adaptability and Flexibility fostered Creative Thinking fostered Critical Thinking fostered Self-awareness and Self-reflection fostered Self-direction and Self-management fostered

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block for	Bachelor's Degree Programme in Computational Science and Engineering 2018; Version 07.11.2024 (First Year Examination Block 1) Bachelor's Degree Programme in Computer Science 2016; Version 07.11.2024 (First Year Examination Block 1)
ECTS credits	7 credits
Examiners	U. Maurer
Type	session examination
Language of examination	German
Repetition	The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination	written 180 minutes
Additional information on mode of examination	Während des Semesters können durch aktive Mitarbeit Bonuspunkte erarbeitet werden. Die Veranstaltung bietet als "Leistungselement" (im Sinne der WEISUNG: Anwendung von Leistungselementen in der Lehre vom 22.12.2017) Lernelemente an. Die Lernelemente sind Bonusaufgaben und klar markierter Teil der wöchentlichen Aufgabensammlung. In maximal 12 Wochen wird es Bonusaufgaben geben. Die beiden schlechtesten Wochen werden nicht gewertet. Die erworbenen Punkte verbessern das Ergebnis der schriftlichen Prüfung um maximal 0.25 Notenpunkte. Unehrliches Verhalten bei der Bearbeitung der Lernelemente (z.B., Kopieren der Lösungen von Mitstudierenden oder anderen Quellen, zur Verfügung stellen der eigenen Lösungen zum Kopieren) haben ernste Konsequenzen inklusive der Aberkennung aller Bonuspunkte dieser Veranstaltung.
Written aids	Selbstverfasste, handgeschriebene Notizen auf 6 A4-Seiten (respektive 3 Blätter doppelseitig).
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block. This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

Groups

Restrictions

Offered in

Programme	Section	Type
Computer Science Bachelor	First Year Examination Block 1	O
Computational Science and Engineering Bachelor	First Year Examination Block 1	O