Module MA1000-KP08, MA1000

Duration

1 Semester

Turnus of offer

each winter semester

Credit points

8

Course of studies, specific fields and terms:

• Minor in Teaching Mathematics, Bachelor of Arts 2023, compulsory, mathematics
• Bachelor CLS 2023, compulsory, mathematics
• Bachelor MES 2020, compulsory: aptitude test, mathematics
• Bachelor Media Informatics 2020, compulsory, mathematics
• Bachelor Computer Science 2019, compulsory: aptitude test, mathematics
• Bachelor Robotics and Autonomous Systems 2020 , compulsory: aptitude test, mathematics
• Bachelor Medical Informatics 2019, compulsory: aptitude test, mathematics
• Minor in Teaching Mathematics, Bachelor of Arts 2017, compulsory, mathematics
• Bachelor Computer Science 2016, compulsory: aptitude test, mathematics
• Bachelor CLS 2016, compulsory, mathematics
• Bachelor IT-Security 2016, compulsory, mathematics
• Bachelor Robotics and Autonomous Systems 2016, compulsory: aptitude test, mathematics
• Bachelor Biophysics 2016, compulsory: aptitude test, mathematics
• Bachelor Medical Informatics 2014, compulsory: aptitude test, mathematics
• Bachelor MES 2014, compulsory: aptitude test, mathematics
• Bachelor Media Informatics 2014, compulsory: aptitude test, mathematics
• Bachelor Computer Science 2014, compulsory: aptitude test, mathematics
• Bachelor Medical Informatics 2011, compulsory: aptitude test, mathematics
• Bachelor Computer Science 2012, compulsory: aptitude test, mathematics
• Bachelor MES 2011, compulsory, mathematics
• Bachelor CLS 2010, compulsory, mathematics

Classes and lectures:

• Linear Algebra and Discrete Structures 1 (exercise, 2 SWS)
• Linear Algebra and Discrete Structures 1 (lecture, 4 SWS)

Workload:

• 125 hours private studies and exercises
• 90 hours in-classroom work
• 25 hours exam preparation

Contents of teaching:

• Fundamentals: logic, sets, mappings
• Relations, equivalence relations, orderings
• Proof by induction
• Groups: fundamentals, finite groups, permutations, matrices
• Rings, fields, congruencies
• Complex numbers: calculus, representation, roots of unity
• Vector spaces: bases, dimension, scalar product, norms

Qualification-goals/Competencies:

• Students understand the fundamental concepts of linear algebra.
• They understand basic thought processes and methods of proof.
• They can explain fundamental relationships in linear algebra.
• They can apply fundamental concepts and methods of proof to algebraic problems.
• They have an understanding of abstract thought processes.
• Interdisciplinary qualifications:
• Students have basic competency in modelling.
• They can transfer fundamental theoretical concepts to similar applications.
• They can work on elementary mathematics problems within a team.
• They can present elementary solutions to their problems to a group.

Grading through:

• written exam

Is requisite for:

• Linear Algebra and Discrete Structures 2 (MA1500-KP08, MA1500)

Responsible for this module:

• Prof. Dr. rer. nat. Jan Modersitzki

Teacher:

• Institute of Mathematics and Image Computing
• Prof. Dr. rer. nat. Jan Modersitzki
• Prof. Dr. rer. nat. Jan Lellmann

Literature:

• G. Fischer : Lineare Algebra: Eine Einführung für Studienanfänger Vieweg+Teubner
• G. Strang : Lineare Algebra Springer
• K. Jänich : Lineare Algebra Springer
• D. Lau : Algebra und diskrete Mathematik I + II Springer
• G. Strang : Introduction to Linear Algebra Cambridge Press
• K. Rosen : Discrete Mathematics and Its Applications McGraw-Hill

Language:

• offered only in German

Notes:

Last Updated:

26.04.2022