Module MAT-10-11-M-2
Fundamentals of Mathematics A: Linear Algebra I and Analysis I (M, 15.0 LP)
Module Identification
Module Number | Module Name | CP (Effort) |
---|---|---|
MAT-10-11-M-2 | Fundamentals of Mathematics A: Linear Algebra I and Analysis I | 15.0 CP (450 h) |
Basedata
CP, Effort | 15.0 CP = 450 h |
---|---|
Position of the semester | 1 Sem. in WiSe/SuSe |
Level | [2] Bachelor (Fundamentals) |
Language | [DE] German |
Module Manager | |
Lecturers |
Lecturers of the department Mathematics
|
Area of study | [MAT-EDU] Mathematics (B.Ed./M.Ed.) |
Reference course of study | [MAT-31.105-SG] B.Ed. LaGR Mathematics |
Livecycle-State | [NORM] Active |
Courses
Type/SWS | Course Number | Title | Choice in Module-Part | Presence-Time / Self-Study | SL | SL is required for exa. | PL | CP | Sem. | |
---|---|---|---|---|---|---|---|---|---|---|
2V+2U | MAT-10-11B-K-2 | Fundamentals of Mathematics I: Linear Algebra
| P | 56 h | 124 h |
SL1
| ja | PL1 | 6.0 | WiSe/SuSe |
4V+2U+2T | MAT-10-11A-K-2 | Fundamentals of Mathematics I: Analysis
| P | 112 h | 158 h |
SL1
| ja | PL1 | 9.0 | WiSe/SuSe |
- About [MAT-10-11B-K-2]: Title: "Fundamentals of Mathematics I: Linear Algebra"; Presence-Time: 56 h; Self-Study: 124 h
- About [MAT-10-11B-K-2]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
- About [MAT-10-11A-K-2]: Title: "Fundamentals of Mathematics I: Analysis"; Presence-Time: 112 h; Self-Study: 158 h
- About [MAT-10-11A-K-2]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
Study achievement SL1
- Verification of study performance: proof of successful participation in the exercise classes (incl. written examination)
- Study achievement is a prerequisite for the examination.
- Examination number (Study achievement): 82015
("Exercise Class Fundamentals of Mathematics I")
Der qualifizierte Übungsschein kann in Form von zwei Teilleistungen (qualifizierter Übungsschein zu „Grundlagen der Mathematik I: Lineare Algebra“ und qualifizierter Übungsschein zu „Grundlagen der Mathematik I: Analysis“) erbracht werden.
Examination achievement PL1
- Form of examination: oral examination (30-45 Min.)
- Examination Frequency: each semester
- Examination number: 80105 ("Fundamentals of mathematics I: Linear Algebra & Analysis")
Evaluation of grades
The grade of the module examination is also the module grade.
Contents
Fundamentals of Mathematics I: Linear Algebra:
- vector spaces,
- linear mappings,
- linear systems of equations,
- matrices,
- determinants.
Fundamentals of Mathematics I: Analysis:
- real and complex numbers,
- sequences, limit values and series; power series,
- elementary functions; continuity,
- differentiation (in the one-dimensional case),
- integration (in the one-dimensional case).
Competencies / intended learning achievements
Upon successful completion of this module, the students
- have mastered the basic concepts of Linear Algebra and one-dimensional Analysis as a foundation for further scientific studies; through the exercises and the tutorials they have acquired a confident, precise and independent handling of the terms, statements and methods dealt with in the lectures;
- are trained in analytical thinking; they are able to recognise abstract structures and to work on mathematical problems imaginatively;
- are able to convey elementary mathematical facts; their teamwork and communication skills have been trained through exercises and tutorials.
Literature
- G. Fischer: Lineare Algebra,
- K. Jänich: Lineare Algebra,
- H.-J. Kowalsky, G.O. Michler: Lineare Algebra,
- S. Bosch: Lineare Algebra,
- O. Forster: Analysis 1,
- H. Heuser: Lehrbuch der Analysis, Teil 1,
- M. Barner, F. Flohr: Analysis I,
- K. Königsberger: Analysis 1.
Registration
Registration for the exercise classes and tutorials via the online administration system URM (https://urm.mathematik.uni-kl.de).
Requirements for attendance (informal)
None
Requirements for attendance (formal)
None
References to Module / Module Number [MAT-10-11-M-2]
Course of Study | Section | Choice/Obligation |
---|---|---|
[MAT-31.105-SG] B.Ed. LaGR Mathematics | Compulsory Modules | [P] Compulsory |
[MAT-47.105-SG] B.Ed. LaBBS Mathematics | Compulsory Modules | [P] Compulsory |
[MAT-B4.105-SG] ZEP LaG Mathematics | Compulsory Elective Modules | [WP] Compulsory Elective |
[MAT-B2.105-SG] ZEP LaRSP Mathematics | Compulsory Elective Modules | [WP] Compulsory Elective |
[MAT-B5.105-SG] ZEP LaBBS Mathematics | Compulsory Elective Modules | [WP] Compulsory Elective |
Notice
The course is also offered as distance learning course as part of the early entrance programme FiMS, see https://fims.mathematik.uni-kl.de