Module MA1500-KP08, MA1500

Duration

1 Semester

Turnus of offer

each summer 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, mathematics
• Bachelor Computer Science 2019, compulsory: aptitude test, mathematics
• Bachelor Robotics and Autonomous Systems 2020 , compulsory, mathematics
• Bachelor Medical Informatics 2019, compulsory, 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 Robotics and Autonomous Systems 2016, compulsory, mathematics
• Bachelor IT-Security 2016, compulsory, mathematics
• Bachelor Biophysics 2016, compulsory, mathematics
• Bachelor Medical Informatics 2014, compulsory, mathematics
• Bachelor MES 2014, compulsory, mathematics
• Bachelor Computer Science 2014, compulsory: aptitude test, mathematics
• Bachelor Medical Informatics 2011, compulsory, mathematics
• Bachelor CLS 2010, compulsory, mathematics
• Bachelor MES 2011, compulsory, mathematics
• Bachelor Computer Science 2012, compulsory: aptitude test, mathematics

Classes and lectures:

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

Workload:

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

Contents of teaching:

• Systems of linear equations, matrices
• Determinants
• Linear mappings
• Orthogonality
• Eigenvalues

Qualification-goals/Competencies:

• The students understand advanced concepts of linear algebra.
• They understand advanced thought processes and methods of proof.
• They can apply advanced concepts and methods of proof to algebraic problems.
• They can explain advanced relationships in linear algebra.
• Interdisciplinary qualifications:
• Students can transfer advanced theoretical concepts to similar applications.
• They have an advanced competency in modeling.
• They can solve complex problems within a group.
• They can present the solution to complex problems to a group.

Grading through:

• written exam

Is requisite for:

• Image Registration (MA5030-KP05)
• Image Registration (MA5030-KP04, MA5030)
• Mathematical Methods of Image Processing (MA4500-KP05)
• Mathematical Methods in Image Processing (MA4500-KP04, MA4500)
• Optimization (Advanced Mathematics) (MA4031-KP08)
• Module part: Optimization (MA4030 T)
• Optimization (MA4030-KP08, MA4030)

Requires:

• Linear Algebra and Discrete Structures 1 (MA1000-KP08, MA1000)

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