Module Handbook

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Module MAT-12-10C-M-3

Pure Mathematics C (M, 9.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-12-10C-M-3 Pure Mathematics C 9.0 CP (270 h)

Basedata

CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. in WiSe/SuSe
Level [3] Bachelor (Core)
Language [DE] German
Module Manager
Lecturers
Area of study [MAT-GRU] Mathematics (B.Sc. year 1 and 2)
Reference course of study [MAT-82.105-SG] B.Sc. Mathematics
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part
Choice in
Course-Pool
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
KPOOL MAT-10-KPOOL-3
Pure Mathematics (B.Sc. Mathematics)
P WP-1
U-Schein
- PL1 [4.5] *
KPOOL MAT-10-KPOOL-3
Pure Mathematics (B.Sc. Mathematics)
P WP-1
U-Schein
- PL1 [4.5] *
  • About [MAT-10-KPOOL-3]: Title: "Pure Mathematics (B.Sc. Mathematics)";
  • About [MAT-10-KPOOL-3]: A course from the course pool must be selected.
  • About [MAT-10-KPOOL-3]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.
  • About [MAT-10-KPOOL-3]: Title: "Pure Mathematics (B.Sc. Mathematics)";
  • About [MAT-10-KPOOL-3]: A course from the course pool must be selected.
  • About [MAT-10-KPOOL-3]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: each semester
  • Examination number: 82047 ("Module Exam Pure Mathematics C")
    It is generally possible to give the module examination PL1 totally or in parts to different courses than the required study achievements (proofs of successful participation in the exercise classes). This requires that none of the courses involved has already been included in another module.

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

Introduction to two further areas of pure mathematics of choice from: Vector Analysis, Differential Equations, Functional Analysis, Complex Analysis, Measure and Integration Theory, Algebra, Elementary Number Theory, Topology, or any other area of pure mathematics.

Competencies / intended learning achievements

Building on the knowledge acquired in the first year, the students have acquired basic knowledge in two further areas of pure mathematics.Their familiarity with the axiomatic methodology of mathematics has been increased, and the abilities to recognise general mathematical structures, to formulate statements about them precisely, to deal creatively with abstract structures and to independently prove or disprove mathematical statements have been promoted.

In the exercise classes they have acquired a confident, precise and independent handling of the terms, propositions and methods from the lectures. Special attention was paid to learning a logically correct, complete argumentation.

Literature

see the respective course descriptions.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance of the module (informal)

Further requirements depending on the choice of course (see the respective course descriptions).

Modules:

Requirements for attendance of the module (formal)

Proof of successful participation in the exercise classes of "Fundamentals of Mathematics I" or "Fundamentals of Mathematics II" (e.g. from the module [MAT-10-1-M-2] "Fundamentals of Mathematics") is prerequisite for participation in the module examination.

References to Module / Module Number [MAT-12-10C-M-3]

Course of Study Section Choice/Obligation
[MAT-82.105-SG] B.Sc. Mathematics [Core Modules (non specialised)] Pure Mathematics [P] Compulsory