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Module Guide before WS 2016/17

Modul MA1000-KP08, MA1000

Linear Algebra and Discrete Structures 1 (LADS1)

Duration:


1 Semester
Turnus of offer:


each winter semester
Credit points:


8
Course of studies, specific field and terms:
  • Bachelor MES 2020 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Media Informatics 2020 (compulsory), mathematics, 3rd semester
  • Bachelor Computer Science 2019 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Robotics and Autonomous Systems 2020 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Medical Informatics 2019 (compulsory: aptitude test), mathematics, 1st semester
  • Minor in Teaching Mathematics, Bachelor of Arts 2017 (compulsory), mathematics, 3rd semester
  • Bachelor Computer Science 2016 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor CLS 2016 (compulsory), mathematics, 1st semester
  • Bachelor IT-Security 2016 (compulsory), mathematics, 1st semester
  • Bachelor Robotics and Autonomous Systems 2016 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Biophysics 2016 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Medical Informatics 2014 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor MES 2014 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Media Informatics 2014 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Computer Science 2014 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Medical Informatics 2011 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Computer Science 2012 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor MES 2011 (compulsory), mathematics, 1st semester
  • Bachelor CLS 2010 (compulsory), mathematics, 1st semester
Classes and lectures:
  • Linear Algebra and Discrete Structures 1 (exercise, 2 SWS)
  • Linear Algebra and Discrete Structures 1 (lecture, 4 SWS)
Workload:
  • 25 Hours exam preparation
  • 90 Hours in-classroom work
  • 125 Hours private studies and exercises
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
  • Following the rules of GSP of the UzL
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:
Responsible for this module:
Teachers:
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:

Prerequisites for attending the module:
- None

Prerequisites for the exam:
- Successful completion of homework assignments during the semester.
- Successful completion of e-tests during the semester.
- Presentation of homework assignment

Modul exam:
- MA1000-L1: Linear Algebra and Discrete Structures 1, written exam, 90 min, 100 % model grade

Letzte Änderung:
18.8.2021