# Module im Bereich: Mathematik / Logik

# Logic

##### Sommer 


##### (in German: Logik )

<table bgcolor="#7FB3D9" border="1" id="bkmrk-%5Btitle%5D" style="width: 100%; border-collapse: collapse; border-width: 1px; border-style: none;"><colgroup><col style="width: 100%;"></col></colgroup><tbody><tr style="background-color: rgb(235, 243, 249);"><td>##### <span style="color: rgb(0, 104, 180);">**Module-ID:** </span><span style="color: rgb(0, 104, 180);">**FIN-INF-110492** </span>

</td></tr></tbody></table>

<table bgcolor="#7FB3D9" border="1" id="bkmrk-" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 14.2515%;"></col><col style="width: 14.2515%;"></col><col style="width: 13.061%;"></col><col style="width: 15.442%;"></col><col style="width: 14.2515%;"></col><col style="width: 14.2515%;"></col><col style="width: 14.2515%;"></col></colgroup><tbody><tr><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Abbreviation**</span>

<span style="color: rgb(61, 61, 61);">Logic </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Credit Points**</span>

<span style="color: rgb(61, 61, 61);">5 </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Semester**</span>

<span style="color: rgb(61, 61, 61);">Sommer </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Term**</span>

<span style="color: #3d3d3d;">starting at 2. </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);">**<span style="color: rgb(61, 61, 61);">Duration</span>**

<span style="color: rgb(61, 61, 61);">1 Semester </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Language**</span>

<span style="color: rgb(61, 61, 61);">english</span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Level**</span>

<span style="color: rgb(61, 61, 61);">Bachelor </span>

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<table border="1" id="bkmrk-verantwortung%3A-verwe" style="border-collapse: collapse; width: 100%; height: 124.8px; border-width: 1px; border-style: none;"><colgroup><col style="width: 24.7879%;"></col><col style="width: 75.2121%;"></col></colgroup><tbody><tr style="height: 35.4px;"><td style="height: 35.4px;">**Link:**</td><td style="height: 35.4px;">[ LSF](https://lsf.ovgu.de/qislsf/rds?state=wsearchv&search=1&subdir=veranstaltung&veranstaltung.semester=20261&veranstaltung.dtxt=Logik&P_start=0&P_anzahl=30&P.sort=veranstaltung.dtxt&_form=display "Logik")</td></tr><tr><td>**Limited accessability:**</td><td></td></tr><tr style="height: 29.8px;"><td style="height: 29.8px;">**Responsibility:**</td><td style="height: 29.8px;">Martin Glauer </td></tr><tr style="height: 29.8px;"><td style="height: 29.8px;">**Lecturer:**</td><td style="height: 29.8px;">Martin Glauer </td></tr><tr><td>**Classes:**</td><td>- Lecture *Logic*
- Exercise *Logic*

 </td></tr><tr style="height: 29.8px;"><td style="height: 29.8px;">**Applicability in curriculum:**</td><td style="height: 29.8px;">- B.Sc. INF (bilingual): Mathematik / Logik  
- B.Sc. INF (bilingual): Aufbaumodule (SPO 2027)  
  
</td></tr></tbody></table>

**Intended learning outcomes:** Students can

- explain the terms relevant to logic and their definitions,
- read logical syntax (in particular logical formulae and arguments)
- describe situations using logical formulae,
- translate logical formulae into German and vice versa,
- recognize and produce normal forms,
- write down situations as model-theoretical structures,
- distinguish between formal representation and meaning (real world/application),
- check arguments for logical conclusions,
- construct proofs independently,
- use algorithms to evaluate and transform logical expressions and arguments.

  
**Content:**

- Fields of application for logic in computer science,
- Logical syntax (concept of formula and concept of argument for propositional logic and predicate logic),
- Formal representation of knowledge,
- Logical semantics of two- and three-valued propositional logic and predicate logic,
- Domain-specific languages and abstraction to general logical languages,
- Concept of inference and logical inference,
- Rule systems (e.g. for formulas and proofs), - Basic algorithms for logical problems (SAT solving, Horn formula algorithm, transfer to normal forms) rule systems (e.g. for formulas and proofs),
- basic algorithms for logical problems (SAT solving, Horn formula algorithm, transfer to normal forms)

**Workload:** Attendance time: 14 x 4 hours = 56 hours Independent follow-up work on the lecture: 94 hours

<table border="1" id="bkmrk-studien-%2Fpr%C3%BCfungslei" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 32.0641%;"></col><col style="width: 34.9204%;"></col><col style="width: 33.0155%;"></col></colgroup><tbody><tr><td>**Pre-examination requirements:**</td><td>**Type of examination:**</td><td>**Teaching method / lecture hours per week (SWS):**</td></tr><tr><td>2/3 of the exercises voted

</td><td>120 minute written exam

</td><td>- Lecture (2 SWS)
- Exercise (2 SWS)

</td></tr></tbody></table>

<table border="1" id="bkmrk-voraussetzungen-nach" style="font-family: var(--font-body); font-size: 14px; width: 100%;"><colgroup><col style="width: 50%;"></col><col style="width: 50%;"></col></colgroup><tbody><tr><td>**Prerequisites according to examination regulations:**</td><td>**Recommended prerequisites:**</td></tr><tr><td>none

</td><td></td></tr></tbody></table>

<table border="1" id="bkmrk-medienformen%3A-litera" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 50%;"></col><col style="width: 50%;"></col></colgroup><tbody><tr><td>**Media:**</td><td>**Literature:**</td></tr><tr><td></td><td>\- J. Barwise, J. Etchemendy: Language, Proof and Logic.

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**Comments:**

# Logik

**Summer**


(engl. Logic )

<table bgcolor="#7FB3D9" border="1" id="bkmrk-%5Btitle%5D" style="width: 100%; border-collapse: collapse; border-width: 1px; border-style: none;"><colgroup><col style="width: 100%;"></col></colgroup><tbody><tr style="background-color: rgb(235, 243, 249);"><td>##### <span style="color: rgb(0, 104, 180);">**Modulnummer: FIN-INF-110103** </span>

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<table bgcolor="#7FB3D9" border="1" id="bkmrk-" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 14.2515%;"></col><col style="width: 14.2515%;"></col><col style="width: 13.061%;"></col><col style="width: 15.442%;"></col><col style="width: 14.2515%;"></col><col style="width: 14.2515%;"></col><col style="width: 14.2515%;"></col></colgroup><tbody><tr><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Kürzel**</span>

<span style="color: rgb(61, 61, 61);">Logik </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**CP**</span>

<span style="color: rgb(61, 61, 61);">5 </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Semester**</span>

<span style="color: rgb(61, 61, 61);">Summer </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Fachsem.**</span>

<span style="color: #3d3d3d;">ab 2. </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);">**<span style="color: rgb(61, 61, 61);">Dauer</span>**

<span style="color: rgb(61, 61, 61);">1 Semester </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Sprache**</span>

<span style="color: rgb(61, 61, 61);">deutsch</span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255);"><span style="color: rgb(61, 61, 61);">**Niveau**</span>

<span style="color: rgb(61, 61, 61);">Bachelor </span>

</td></tr></tbody></table>

<table border="1" id="bkmrk-verantwortung%3A-verwe" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr><td>**Link zum LSF:**</td><td>[ LSF](https://lsf.ovgu.de/qislsf/rds?state=wsearchv&search=1&subdir=veranstaltung&veranstaltung.semester=20261&veranstaltung.dtxt=Logik&P_start=0&P_anzahl=30&P.sort=veranstaltung.dtxt&_form=display "Logik")</td></tr><tr><td>**Zugang beschränkt:**</td><td></td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Verantwortung:**</td><td style="height: 29.7969px;">Fabian Neuhaus </td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Dozent:in:**</td><td style="height: 29.7969px;">Fabian Neuhaus </td></tr><tr><td>**Lehrveranstaltungen:**</td><td>In Deutsch / In German - Vorlesung *Logik*
- Übung *Logik*

In Englisch / In English - Lecture *Logik*
- Exercise *Logik*

</td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Verwendbarkeit:**</td><td style="height: 29.7969px;">- B.Sc. INF: Mathematik / Logik  
- B.Sc. INF: Aufbaumodule (SPO 2027)  
- B.Sc. CV: Mathematik / Logik  
- B.Sc. CV: Computervisualistik Pflicht (SPO 2027)  
- B.Sc. INGINF: Mathematik / Logik  
- B.Sc. INGINF: Ingenieurinformatik Pflicht (SPO 2027)  
- B.Sc. INF (bilingual): Mathematik / Logik  
- B.Sc. INF (bilingual): Aufbaumodule (SPO 2027)  
- B.Sc. WIF: Informatik Pflicht (SPO 2027)  
  
</td></tr></tbody></table>

**Angestrebte Lernergebnisse:** Die Studierenden können

- die für Logik relevanten Begriffe und deren Definitionen erklären,
- logische Syntax (insbesondere  
    logische Formeln und Argumente lesen)
- Situationen durch logische Formeln beschreiben,
- logische Formeln ins Deutsche übersetzen und umgekehrt,
- Normalformen erkennen und herstellen,
- Situation als modelltheoretische Struktur aufschreiben,
- zwischen formaler Repräsentation und der Bedeutung (reale Welt/Anwendung) unterscheiden,
- Argumente auf logische Folgerungen überprüfen,
- Beweise selbstständig konstruieren,
- Algorithmen zur Auswertung und Umformung logischer Ausdrücke und Argumente anwenden.

  
**Inhalt:**

- Anwendungsfelder für Logik in der Informatik,
- Logische Syntax (Formelbegriff und Argumentbegriff für Aussagenlogik und Prädikatenlogik),
- formale Repräsentation von Wissen,
- Logische Semantik von zwei- und dreiwertiger Aussagenlogik sowie Prädikatenlogik,
- Domänenspezifische Sprachen und Abstraktion zu allgemeinen logischen Sprachen,
- Folgerungsbegriff und logische Folgerung,
- Regelsysteme (u.a. für Formeln und Beweise),
- grundlegende Algorithmen für logische Probleme (SAT-Solving, Hornformel-Algorithmus, Überführung in Normalformen)

**Arbeitsaufwand:**

- Präsenzzeiten: 14 X 4h = 56 h
- Selbstständiges Nachbereiten der Vorlesung: 94 h

  
<table border="1" id="bkmrk-studien-%2Fpr%C3%BCfungslei" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 32.6591%;"></col><col style="width: 35.9941%;"></col><col style="width: 31.3468%;"></col></colgroup><tbody><tr><td>**Prüfungsvorleistungen:**</td><td>**Studien-/Prüfungsleistungen:**</td><td>**Lehrform / SWS:**</td></tr><tr><td style="vertical-align: top;">2 Drittel der Übungsaufgaben votiert

</td><td class="align-left" style="vertical-align: top;">- Klausur 120 Min.

  
</td><td class="align-left" style="vertical-align: top;">- Vorlesung (2 SWS)
- Übung (2 SWS)

  
</td></tr></tbody></table>

<table border="1" id="bkmrk-voraussetzungen-nach" style="font-family: var(--font-body); font-size: 14px; width: 100%;"><colgroup><col style="width: 50%;"></col><col style="width: 50%;"></col></colgroup><tbody><tr><td>**Voraussetzungen nach Prüfungsordnung:**</td><td>**Empfohlene Voraussetzungen:**</td></tr><tr><td class="align-left" style="vertical-align: top;">keine

</td><td class="align-left" style="vertical-align: top;"></td></tr></tbody></table>

<table border="1" id="bkmrk-medienformen%3A-litera" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 50%;"></col><col style="width: 50%;"></col></colgroup><tbody><tr><td>**Medienformen:**</td><td>**Literatur:**</td></tr><tr><td class="align-left" style="vertical-align: top;"></td><td class="align-left" style="vertical-align: top;">- J. Barwise, J. Etchemendy: Sprache, Beweis und Logik.
- Dassow : Logik für Informatiker
- Schöning : Logik für Informatiker
- J. Kelly: Logik (im Klartext)

  
</td></tr></tbody></table>

**Hinweise:**

# Mathematik M1d

**Winter**

(engl. Mathematics M1d )

<table bgcolor="#7FB3D9" border="1" id="bkmrk-%5Btitle%5D" style="width: 100%; border-collapse: collapse; border-width: 1px; border-style: none;"><colgroup><col style="width: 100%;"></col></colgroup><tbody><tr style="background-color: rgb(235, 243, 249);"><td style="background-color: rgb(245, 217, 221);">##### <span style="color: rgb(209, 63, 88);">**Modulnummer: FMA-INF-501325** </span>

</td></tr></tbody></table>

<table border="1" id="bkmrk-verantwortung%3A-verwe" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr><td>**Link zum LSF:**</td><td>[ **(Angeboten wenn im LSF)**](https://lsf.ovgu.de/qislsf/rds?state=wsearchv&search=1&subdir=veranstaltung&veranstaltung.semester=20262&veranstaltung.dtxt=Mathematik+M1d&P_start=0&P_anzahl=30&P.sort=veranstaltung.dtxt&_form=display "Mathematik M1d")</td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Verantwortung:**</td><td style="height: 29.7969px;">Prof. Dr. Volker Kaibel </td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Dozent:in:**</td><td style="height: 29.7969px;">, Prof. Dr. Volker Kaibel </td></tr><tr><td>**Lehrveranstaltungen:**</td><td>- Vorlesung *Mathematik M1d*
- Globalübung *Mathematik M1d*
- Gruppenübung *Mathematik M1d*

</td></tr></tbody></table>

<table bgcolor="#7FB3D9" border="1" id="bkmrk-" style="border-collapse: collapse; width: 100%; height: 67.3906px;"><colgroup><col style="width: 16.6467%;"></col><col style="width: 15.3293%;"></col><col style="width: 18.0838%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col></colgroup><tbody><tr style="height: 67.3906px;"><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Leistungspkt.**</span>

<span style="color: rgb(61, 61, 61);">5 </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Semester**</span>

<span style="color: rgb(61, 61, 61);">Winter </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Fachsem.**</span>

<span style="color: #3d3d3d;">1. 

</span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;">**<span style="color: rgb(61, 61, 61);">Dauer</span>**

<span style="color: rgb(61, 61, 61);">1 Semester </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Sprache**</span>

<span style="color: rgb(61, 61, 61);">deutsch </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Niveau**</span>

<span style="color: rgb(61, 61, 61);">Bachelor </span>

</td></tr></tbody></table>

**Ziele und Kompetenzen:** Die Studierenden erlangen auf Verständnis beruhende Vertrautheit mit den für fachwissenschaftliche Module in den Bereichen Ingenieurwissenschaften und Informatik relevanten mathematischen Konzepten und Methoden. Sie erwerben technische Fähigkeiten im Umgang mit diesen, insbesondere unter Verwendung fachspezifischer Beispiele. Thematischer Schwerpunkt des Moduls ist eine Einführung in die Lineare Algebra.

**Inhalt:**

- Komplexe Zahlen
- Reele und komplexe Vektoren
- Matrizen
- Determinanten
- Lineare Abbildungen
- Eigenwerte (Einführung)
- Lineare Gleichungssysteme

**Arbeitsaufwand:**

<table id="bkmrk-pr%C3%A4senszeit-selbstst"><thead><tr><th></th><th>Präsenszeit</th><th>Selbststudium</th></tr></thead><tbody><tr><td>Vorlesung Mathematik M1d</td><td>3 SWS / 42h</td><td>66h</td></tr><tr><td>Globalübung Mathematik M1d</td><td>2 SWS / 28h</td><td></td></tr><tr><td>Gruppenübung Mathematik M1d</td><td>1 SWS / 14h</td><td></td></tr></tbody></table>

  
<table border="1" id="bkmrk-studien-%2Fpr%C3%BCfungslei" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 32.3004%;"></col><col style="width: 33.4927%;"></col><col style="width: 34.207%;"></col></colgroup><tbody><tr><td>**Voraussetzungen für die Teilnahme:**</td><td>**Prüfungsvorleistung:**</td><td>**Prüfungsleistung:**</td></tr><tr><td class="align-left" style="vertical-align: top;"></td><td class="align-left" style="vertical-align: top;"></td><td style="vertical-align: top;"></td></tr></tbody></table>

<table border="1" id="bkmrk-verwendbarkeit-fma%3A-" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Verwendbarkeit:**</td><td style="height: 29.7969px;">- B.Sc. INF: Mathematik / Logik  
- B.Sc. INF: Mathematik (SPO 2027)  
- B.Sc. CV: Mathematik / Logik  
- B.Sc. CV: Mathematik (SPO 2027)  
- B.Sc. INGINF: Mathematik / Logik  
- B.Sc. INGINF: Mathematik (SPO 2027)  
- B.Sc. WIF: Verstehen - Pflicht  
- B.Sc. WIF: Mathematik (SPO 2027)  
- B.Sc. INF (bilingual): Mathematik / Logik  
- B.Sc. INF (bilingual): Mathematik (SPO 2027)  
  
</td></tr><tr><td>**Verwendbarkeit andere Fakultäten:**</td><td>  
</td></tr></tbody></table>

**Hinweise:**

# Mathematics M1e

**Winter**

(engl. Mathematics M1e )

<table bgcolor="#7FB3D9" border="1" id="bkmrk-%5Btitle%5D" style="width: 100%; border-collapse: collapse; border-width: 1px; border-style: none;"><colgroup><col style="width: 100%;"></col></colgroup><tbody><tr style="background-color: rgb(235, 243, 249);"><td style="background-color: rgb(245, 217, 221);">##### <span style="color: rgb(209, 63, 88);">**Module-ID: FMA-INF-5013252** </span>

</td></tr></tbody></table>

<table border="1" id="bkmrk-verantwortung%3A-verwe" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr><td>**Link:**</td><td>[ **(Angeboten wenn im LSF)**](https://lsf.ovgu.de/qislsf/rds?state=wsearchv&search=1&subdir=veranstaltung&veranstaltung.semester=20262&veranstaltung.dtxt=Mathematik+M1e&P_start=0&P_anzahl=30&P.sort=veranstaltung.dtxt&_form=display "Mathematik M1e")</td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Responsibility:**</td><td style="height: 29.7969px;">Prof. Dr. Volker Kaibel </td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Lecturer:**</td><td style="height: 29.7969px;">, Prof. Dr. Volker Kaibel </td></tr><tr><td>**Classes:**</td><td>- Lecture *Mathematics M1e*
- Global Exercise *Mathematics M1e*
- Group Exercise *Mathematics M1e*

</td></tr></tbody></table>

<table bgcolor="#7FB3D9" border="1" id="bkmrk-" style="border-collapse: collapse; width: 100%; height: 67.3906px;"><colgroup><col style="width: 16.6467%;"></col><col style="width: 15.3293%;"></col><col style="width: 18.0838%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col></colgroup><tbody><tr style="height: 67.3906px;"><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Credit Points**</span>

<span style="color: rgb(61, 61, 61);">5 </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Semester**</span>

<span style="color: rgb(61, 61, 61);">Winter </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Term**</span>

<span style="color: #3d3d3d;">2. 

</span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;">**<span style="color: rgb(61, 61, 61);">Duration</span>**

<span style="color: rgb(61, 61, 61);">1 Semester </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Language**</span>

<span style="color: rgb(61, 61, 61);">english </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Level**</span>

<span style="color: rgb(61, 61, 61);">Bachelor </span>

</td></tr></tbody></table>

**Goals and qualifications:** The students acquire comprehension of and familiarity with concepts and methods that  
are relevant to subject-specific classes in the areas of engineering and computer science.  
They develop technical skills by applying those methods, in particular to subject-specific  
examples. The topical focus of the module is on an introduction to linear algebra.

**Content:**

- Complex numbers
- Real and complex vectors
- Matrices
- Determinants
- Linear maps
- Eigenvalues (introduction)
- Systems of linear equations

**Workload:**

<table id="bkmrk-in-class-self-study-"><thead><tr><th></th><th>In class</th><th>self-study</th></tr></thead><tbody><tr><td>Lecture</td><td>3 SWS / 42 h</td><td>66 h</td></tr><tr><td>Global tutorial</td><td>2 SWS / 28 h</td><td></td></tr><tr><td>Group tutorial</td><td>1 SWS / 14 h</td><td></td></tr></tbody></table>

  
<table border="1" id="bkmrk-studien-%2Fpr%C3%BCfungslei" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 32.3004%;"></col><col style="width: 33.4927%;"></col><col style="width: 34.207%;"></col></colgroup><tbody><tr><td>**Prerequisites for participation:**</td><td>**Pre-examination requirements:**</td><td>**Type of examination:**</td></tr><tr><td class="align-left" style="vertical-align: top;"></td><td class="align-left" style="vertical-align: top;"></td><td style="vertical-align: top;"></td></tr></tbody></table>

<table border="1" id="bkmrk-verwendbarkeit-fma%3A-" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 27.2899%;"></col><col style="width: 72.7101%;"></col></colgroup><tbody><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Applicability in curriculum:**</td><td style="height: 29.7969px;">- B.Sc. INF: Mathematik / Logik  
- B.Sc. INF: Mathematik (SPO 2027)  
- B.Sc. CV: Mathematik / Logik  
- B.Sc. CV: Mathematik (SPO 2027)  
- B.Sc. INGINF: Mathematik / Logik  
- B.Sc. INGINF: Mathematik (SPO 2027)  
- B.Sc. WIF: Verstehen - Pflicht  
- B.Sc. WIF: Mathematik (SPO 2027)  
- B.Sc. INF (bilingual): Mathematik / Logik  
- B.Sc. INF (bilingual): Mathematik (SPO 2027)  
  
</td></tr></tbody></table>

**Comments:**

# Mathematik M2d

**Sommer**

(engl. Mathematics M2d )

<table bgcolor="#7FB3D9" border="1" id="bkmrk-%5Btitle%5D" style="width: 100%; border-collapse: collapse; border-width: 1px; border-style: none;"><colgroup><col style="width: 100%;"></col></colgroup><tbody><tr style="background-color: rgb(235, 243, 249);"><td style="background-color: rgb(245, 217, 221);">##### <span style="color: rgb(209, 63, 88);">**Modulnummer: FMA-INF-501326** </span>

</td></tr></tbody></table>

<table border="1" id="bkmrk-verantwortung%3A-verwe" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr><td>**Link zum LSF:**</td><td>[ **(Angeboten wenn im LSF)**](https://lsf.ovgu.de/qislsf/rds?state=wsearchv&search=1&subdir=veranstaltung&veranstaltung.semester=20261&veranstaltung.dtxt=Mathematik+M2d&P_start=0&P_anzahl=30&P.sort=veranstaltung.dtxt&_form=display "Mathematik M2d")</td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Verantwortung:**</td><td style="height: 29.7969px;">Prof. Dr. Thomas Richter </td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Dozent:in:**</td><td style="height: 29.7969px;">, Prof. Dr. Thomas Richter </td></tr><tr><td>**Lehrveranstaltungen:**</td><td>- Vorlesung *Mathematik M2d*
- Globalübung *Mathematik M2d*
- Gruppenübung *Mathematik M2d*

</td></tr></tbody></table>

<table bgcolor="#7FB3D9" border="1" id="bkmrk-" style="border-collapse: collapse; width: 100%; height: 67.3906px;"><colgroup><col style="width: 16.6467%;"></col><col style="width: 15.3293%;"></col><col style="width: 18.0838%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col></colgroup><tbody><tr style="height: 67.3906px;"><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Leistungspkt.**</span>

<span style="color: rgb(61, 61, 61);">5 </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Semester**</span>

<span style="color: rgb(61, 61, 61);">Sommer </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Fachsem.**</span>

<span style="color: #3d3d3d;">3. 

</span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;">**<span style="color: rgb(61, 61, 61);">Dauer</span>**

<span style="color: rgb(61, 61, 61);">1 Semester </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Sprache**</span>

<span style="color: rgb(61, 61, 61);">deutsch </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Niveau**</span>

<span style="color: rgb(61, 61, 61);">Bachelor </span>

</td></tr></tbody></table>

**Ziele und Kompetenzen:** Die Studierenden erlangen auf Verständnis beruhende Vertrautheit mit den für fachwissenschaftliche Module in den Bereichen Ingenieurwissenschaften und Informatik relevanten mathematischen Konzepten und Methoden. Sie erwerben technische Fähigkeiten im Umgang mit diesen, insbesondere unter Verwendung fachspezifischer Beispiele. Thematischer Schwerpunkt des Moduls ist eine Einführung in die Analysis.

**Inhalt:**

- Konvergenz und Stetigkeit
- Differenzialrechnung (1-dimensional)
- Gewöhnliche Differenzialgleichungen (Beispiele, Lösungsverfahren fur homogene lineare DGL zweiter Ordnung mit konstanten Koeffizienten)
- Integralrechnung (1-dimensional)
- Differenzialrechnung (n-dimensional)
- Beispiele partieller Differenzialgleichungen

**Arbeitsaufwand:**

<table id="bkmrk-pr%C3%A4senszeit-selbstst"><thead><tr><th></th><th>Präsenszeit</th><th>Selbststudium</th></tr></thead><tbody><tr><td>Vorlesung</td><td>3 SWS / 42 h</td><td>66 h</td></tr><tr><td>Globalübung</td><td>2 SWS / 28</td><td></td></tr><tr><td>Gruppenübung</td><td>1 SWS / 14 h</td><td></td></tr></tbody></table>

  
<table border="1" id="bkmrk-studien-%2Fpr%C3%BCfungslei" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 32.3004%;"></col><col style="width: 33.4927%;"></col><col style="width: 34.207%;"></col></colgroup><tbody><tr><td>**Voraussetzungen für die Teilnahme:**</td><td>**Prüfungsvorleistung:**</td><td>**Prüfungsleistung:**</td></tr><tr><td class="align-left" style="vertical-align: top;"></td><td class="align-left" style="vertical-align: top;"></td><td style="vertical-align: top;"></td></tr></tbody></table>

<table border="1" id="bkmrk-verwendbarkeit-fma%3A-" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Verwendbarkeit:**</td><td style="height: 29.7969px;">- B.Sc. INF: Mathematik / Logik  
- B.Sc. INF: Mathematik (SPO 2027)  
- B.Sc. CV: Mathematik / Logik  
- B.Sc. CV: Mathematik (SPO 2027)  
- B.Sc. INGINF: Mathematik / Logik  
- B.Sc. INGINF: Mathematik (SPO 2027)  
- B.Sc. WIF: Verstehen - Pflicht  
- B.Sc. WIF: Mathematik (SPO 2027)  
- B.Sc. INF (bilingual): Mathematik / Logik  
- B.Sc. INF (bilingual): Mathematik (SPO 2027)  
  
</td></tr><tr><td>**Verwendbarkeit andere Fakultäten:**</td><td>  
</td></tr></tbody></table>

**Hinweise:**

# Mathematics M2e

**Summer**

(engl. Mathematics M2e )

<table bgcolor="#7FB3D9" border="1" id="bkmrk-%5Btitle%5D" style="width: 100%; border-collapse: collapse; border-width: 1px; border-style: none;"><colgroup><col style="width: 100%;"></col></colgroup><tbody><tr style="background-color: rgb(235, 243, 249);"><td style="background-color: rgb(245, 217, 221);">##### <span style="color: rgb(209, 63, 88);">**Module-ID: FMA-INF-5013262** </span>

</td></tr></tbody></table>

<table border="1" id="bkmrk-verantwortung%3A-verwe" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr><td>**Link:**</td><td>[ **(Angeboten wenn im LSF)**](https://lsf.ovgu.de/qislsf/rds?state=wsearchv&search=1&subdir=veranstaltung&veranstaltung.semester=20261&veranstaltung.dtxt=Mathematik+M2e&P_start=0&P_anzahl=30&P.sort=veranstaltung.dtxt&_form=display "Mathematik M2e")</td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Responsibility:**</td><td style="height: 29.7969px;">Prof. Dr. Thomas Richter </td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Lecturer:**</td><td style="height: 29.7969px;">, Prof. Dr. Thomas Richter </td></tr><tr><td>**Classes:**</td><td>- Lecture *Mathematics M2e*
- Global tutorial *Mathematics M2e*
- Group tutorial *Mathematics M2e*

</td></tr></tbody></table>

<table bgcolor="#7FB3D9" border="1" id="bkmrk-" style="border-collapse: collapse; width: 100%; height: 67.3906px;"><colgroup><col style="width: 16.6467%;"></col><col style="width: 15.3293%;"></col><col style="width: 18.0838%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col></colgroup><tbody><tr style="height: 67.3906px;"><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Credit Points**</span>

<span style="color: rgb(61, 61, 61);">5 </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Semester**</span>

<span style="color: rgb(61, 61, 61);">Summer </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Term**</span>

<span style="color: #3d3d3d;">3. 

</span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;">**<span style="color: rgb(61, 61, 61);">Duration</span>**

<span style="color: rgb(61, 61, 61);">1 Semester </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Language**</span>

<span style="color: rgb(61, 61, 61);">english </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Level**</span>

<span style="color: rgb(61, 61, 61);">Bachelor </span>

</td></tr></tbody></table>

**Goals and qualifications:** The students acquire comprehension of and familiarity with concepts and methods that are relevant for subject-specific classes in the areas of engineering and computer science. They develop technical skills by applying those methods, in particular to subject-specific examples. The topical focus of the module is on an introduction to calculus.

**Content:**

- Convergence and continuity
- Differential calculus (1-dimensional)
- Ordinary differential equations (examples, methods to solve homogeneous linear ODE’s of second order with constant coefficients)
- Calculus of integrals (1-dimensional)
- Differential calculus (n-dimensional)
- Examples of partial differenzial equations

**Workload:**

<table id="bkmrk-in-class-self-study-"><thead><tr><th></th><th>In class</th><th>Self-study</th></tr></thead><tbody><tr><td>Lecture</td><td>3 SWS / 42 h</td><td>66 h</td></tr><tr><td>Global tutorial</td><td>2 SWS / 28 h</td><td></td></tr><tr><td>Group tutorial</td><td>1 SWS / 14 h</td><td></td></tr></tbody></table>

  
<table border="1" id="bkmrk-studien-%2Fpr%C3%BCfungslei" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 32.3004%;"></col><col style="width: 33.4927%;"></col><col style="width: 34.207%;"></col></colgroup><tbody><tr><td>**Prerequisites for participation:**</td><td>**Pre-examination requirements:**</td><td>**Type of examination:**</td></tr><tr><td class="align-left" style="vertical-align: top;"></td><td class="align-left" style="vertical-align: top;"></td><td style="vertical-align: top;"></td></tr></tbody></table>

<table border="1" id="bkmrk-verwendbarkeit-fma%3A-" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 27.2899%;"></col><col style="width: 72.7101%;"></col></colgroup><tbody><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Applicability in curriculum:**</td><td style="height: 29.7969px;">- B.Sc. INF: Mathematik / Logik  
- B.Sc. INF: Mathematik (SPO 2027)  
- B.Sc. CV: Mathematik / Logik  
- B.Sc. CV: Mathematik (SPO 2027)  
- B.Sc. INGINF: Mathematik / Logik  
- B.Sc. INGINF: Mathematik (SPO 2027)  
- B.Sc. WIF: Verstehen - Pflicht  
- B.Sc. WIF: Mathematik (SPO 2027)  
- B.Sc. INF (bilingual): Mathematik / Logik  
- B.Sc. INF (bilingual): Mathematik (SPO 2027)  
  
</td></tr></tbody></table>

**Comments:**

# Mathematik M3d

**Winter**

(engl. Mathematics M3d )

<table bgcolor="#7FB3D9" border="1" id="bkmrk-%5Btitle%5D" style="width: 100%; border-collapse: collapse; border-width: 1px; border-style: none;"><colgroup><col style="width: 100%;"></col></colgroup><tbody><tr style="background-color: rgb(235, 243, 249);"><td style="background-color: rgb(245, 217, 221);">##### <span style="color: rgb(209, 63, 88);">**Modulnummer: FMA-INF-501327** </span>

</td></tr></tbody></table>

<table border="1" id="bkmrk-verantwortung%3A-verwe" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr><td>**Link zum LSF:**</td><td>[ **(Angeboten wenn im LSF)**](https://lsf.ovgu.de/qislsf/rds?state=wsearchv&search=1&subdir=veranstaltung&veranstaltung.semester=20262&veranstaltung.dtxt=Mathematik+M3d&P_start=0&P_anzahl=30&P.sort=veranstaltung.dtxt&_form=display "Mathematik M3d")</td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Verantwortung:**</td><td style="height: 29.7969px;">Prof. Dr. Robert Altmann </td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Dozent:in:**</td><td style="height: 29.7969px;">, Prof. Dr. Robert Altmann </td></tr><tr><td>**Lehrveranstaltungen:**</td><td>Vorlesung Mathematik M3d Globalübung Mathematik M3d Gruppenübung Mathematik M3d </td></tr></tbody></table>

<table bgcolor="#7FB3D9" border="1" id="bkmrk-" style="border-collapse: collapse; width: 100%; height: 67.3906px;"><colgroup><col style="width: 16.6467%;"></col><col style="width: 15.3293%;"></col><col style="width: 18.0838%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col></colgroup><tbody><tr style="height: 67.3906px;"><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Leistungspkt.**</span>

<span style="color: rgb(61, 61, 61);">5 </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Semester**</span>

<span style="color: rgb(61, 61, 61);">Winter </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Fachsem.**</span>

<span style="color: #3d3d3d;">4. 

</span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;">**<span style="color: rgb(61, 61, 61);">Dauer</span>**

<span style="color: rgb(61, 61, 61);">1 Semester </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Sprache**</span>

<span style="color: rgb(61, 61, 61);">deutsch </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Niveau**</span>

<span style="color: rgb(61, 61, 61);">Bachelor </span>

</td></tr></tbody></table>

**Ziele und Kompetenzen:** Die Studierenden erlangen auf Verständnis beruhende Vertrautheit mit den für fachwissenschaftliche Module in den Bereichen Ingenieurwissenschaften und Informatik relevanten mathematischen Konzepten und Methoden. Sie erwerben technische Fähigkeiten im Umgang mit diesen, insbesondere unter Verwendung fachspezifischer Beispiele. Thematische  
Schwerpunkte des Moduls sind Stochastik sowie Vertiefungen der Linearen Algebra und  
der Analysis.

**Inhalt:**

- Wahrscheinlichkeitsrechnung und Statistik
- Eigenwerte (Vertiefung, insbesondere Diagonalisierung)
- Potenz-Reihen
- Fourier-Reihen
- Gewöhnliche Differenzialgleichungen (z.B. Picard-Lindelöf, skalare DGL mit getrennten Veränderlichen, lineare DGL-Systeme mit konstanten Koeffizienten, Variation der Konstanten)

**Arbeitsaufwand:**

<table id="bkmrk-pr%C3%A4senszeit-selbstst"><thead><tr><th></th><th>Präsenszeit</th><th>Selbststudium</th></tr></thead><tbody><tr><td>Vorlesung</td><td>3 SWS / 42 h</td><td>66 h</td></tr><tr><td>Globalübung</td><td>2 SWS / 28 h</td><td></td></tr><tr><td>Gruppenübung</td><td>1 SWS / 14 h</td><td></td></tr></tbody></table>

  
<table border="1" id="bkmrk-studien-%2Fpr%C3%BCfungslei" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 32.3004%;"></col><col style="width: 33.4927%;"></col><col style="width: 34.207%;"></col></colgroup><tbody><tr><td>**Voraussetzungen für die Teilnahme:**</td><td>**Prüfungsvorleistung:**</td><td>**Prüfungsleistung:**</td></tr><tr><td class="align-left" style="vertical-align: top;"></td><td class="align-left" style="vertical-align: top;"></td><td style="vertical-align: top;"></td></tr></tbody></table>

<table border="1" id="bkmrk-verwendbarkeit-fma%3A-" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Verwendbarkeit:**</td><td style="height: 29.7969px;">- B.Sc. INF: Mathematik / Logik  
- B.Sc. INF: Mathematik (SPO 2027)  
- B.Sc. CV: Mathematik / Logik  
- B.Sc. CV: Mathematik (SPO 2027)  
- B.Sc. INGINF: Mathematik / Logik  
- B.Sc. INGINF: Mathematik (SPO 2027)  
- B.Sc. WIF: Verstehen - Pflicht  
- B.Sc. WIF: Mathematik (SPO 2027)  
- B.Sc. INF (bilingual): Mathematik / Logik  
- B.Sc. INF (bilingual): Mathematik (SPO 2027)  
  
</td></tr><tr><td>**Verwendbarkeit andere Fakultäten:**</td><td>  
</td></tr></tbody></table>

**Hinweise:**

# Mathematics M3e

**Winter**

(engl. Mathematics M3e )

<table bgcolor="#7FB3D9" border="1" id="bkmrk-%5Btitle%5D" style="width: 100%; border-collapse: collapse; border-width: 1px; border-style: none;"><colgroup><col style="width: 100%;"></col></colgroup><tbody><tr style="background-color: rgb(235, 243, 249);"><td style="background-color: rgb(245, 217, 221);">##### <span style="color: rgb(209, 63, 88);">**Module-ID: FMA-INF-5013272** </span>

</td></tr></tbody></table>

<table border="1" id="bkmrk-verantwortung%3A-verwe" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 20.2601%;"></col><col style="width: 79.7399%;"></col></colgroup><tbody><tr><td>**Link:**</td><td>[ **(Angeboten wenn im LSF)**](https://lsf.ovgu.de/qislsf/rds?state=wsearchv&search=1&subdir=veranstaltung&veranstaltung.semester=20262&veranstaltung.dtxt=Mathematik+M3e&P_start=0&P_anzahl=30&P.sort=veranstaltung.dtxt&_form=display "Mathematik M3e")</td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Responsibility:**</td><td style="height: 29.7969px;">Prof. Dr. Robert Altmann </td></tr><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Lecturer:**</td><td style="height: 29.7969px;">, Prof. Dr. Robert Altmann </td></tr><tr><td>**Classes:**</td><td>- Lecture *Mathematics M3e*
- Global tutorial *Mathematics M3e*
- Group tutorial *Mathematics M3e*

</td></tr></tbody></table>

<table bgcolor="#7FB3D9" border="1" id="bkmrk-" style="border-collapse: collapse; width: 100%; height: 67.3906px;"><colgroup><col style="width: 16.6467%;"></col><col style="width: 15.3293%;"></col><col style="width: 18.0838%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col><col style="width: 16.6467%;"></col></colgroup><tbody><tr style="height: 67.3906px;"><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Credit Points**</span>

<span style="color: rgb(61, 61, 61);">5 </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Semester**</span>

<span style="color: rgb(61, 61, 61);">Winter </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Term**</span>

<span style="color: #3d3d3d;">4. 

</span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;">**<span style="color: rgb(61, 61, 61);">Duration</span>**

<span style="color: rgb(61, 61, 61);">1 Semester </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Language**</span>

<span style="color: rgb(61, 61, 61);">english </span>

</td><td class="align-center" style="border: 5px solid rgb(255, 255, 255); background-color: rgb(232, 136, 152); height: 67.3906px;"><span style="color: rgb(61, 61, 61);">**Level**</span>

<span style="color: rgb(61, 61, 61);">Bachelor </span>

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**Goals and qualifications:** The students acquire comprehension of and familiarity with concepts and methods that are relevant for subject-specific classes in the areas of engineering and computer science. They develop technical skills by applying those methods, in particular to subject-specific examples. The topical focus of the module is on stochastics as well as on advanced topics in Linear Algebra and Calculus.

**Content:**

- Probability and statistics
- Eigenvalues (deeper treatment, in particular diagonalization)
- Power series
- Fourier series
- Ordinary differential equations (e.g., Picard-Lindelöf, scalar ODE’s with separated variables, linear systems of ODE’s with constant coefficients, variation of the constant)

**Workload:**

<table id="bkmrk-in-class-self-study-"><thead><tr><th></th><th>in class</th><th>self-study</th></tr></thead><tbody><tr><td>Lecture</td><td>3 SWS / 42 h</td><td>66 h</td></tr><tr><td>Global tutorial</td><td>2 SWS / 28 h</td><td></td></tr><tr><td>Group tutorial</td><td>1 SWS / 14 h</td><td></td></tr></tbody></table>

  
<table border="1" id="bkmrk-studien-%2Fpr%C3%BCfungslei" style="border-collapse: collapse; width: 100%;"><colgroup><col style="width: 32.3004%;"></col><col style="width: 33.4927%;"></col><col style="width: 34.207%;"></col></colgroup><tbody><tr><td>**Prerequisites for participation:**</td><td>**Pre-examination requirements:**</td><td>**Type of examination:**</td></tr><tr><td class="align-left" style="vertical-align: top;"></td><td class="align-left" style="vertical-align: top;"></td><td style="vertical-align: top;"></td></tr></tbody></table>

<table border="1" id="bkmrk-verwendbarkeit-fma%3A-" style="border-collapse: collapse; width: 100%; height: 89.3907px; border-width: 1px; border-style: none;"><colgroup><col style="width: 27.2899%;"></col><col style="width: 72.7101%;"></col></colgroup><tbody><tr style="height: 29.7969px;"><td style="height: 29.7969px;">**Applicability in curriculum:**</td><td style="height: 29.7969px;">- B.Sc. INF: Mathematik / Logik  
- B.Sc. INF: Mathematik (SPO 2027)  
- B.Sc. CV: Mathematik / Logik  
- B.Sc. CV: Mathematik (SPO 2027)  
- B.Sc. INGINF: Mathematik / Logik  
- B.Sc. INGINF: Mathematik (SPO 2027)  
- B.Sc. WIF: Verstehen - Pflicht  
- B.Sc. WIF: Mathematik (SPO 2027)  
- B.Sc. INF (bilingual): Mathematik / Logik  
- B.Sc. INF (bilingual): Mathematik (SPO 2027)  
  
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**Comments:**