Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-10-11A-K-2

Fundamentals of Mathematics I: Analysis (4V+2U+2T, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes and tutorials (V/U/T) 9.0 CP 158 h
4 V Lecture 56 h
2 U Exercise class (in small groups) 28 h
2 T Tutorial 28 h
(4V+2U+2T) 9.0 CP 112 h 158 h

Basedata

SWS 4V+2U+2T
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. in WiSe/SuSe
Level [2] Bachelor (Fundamentals)
Language [DE] German
Lecturers
Area of study [MAT-GRU] Mathematics (B.Sc. year 1 and 2)
Livecycle-State [NORM] Active

Notice

To prepare for the course, it is recommended to participate in the Online Mathematics Bridge Course (OMB+), see https://www.mathematik.uni-kl.de/omb/

The course is also offered as distance learning course as part of the early entrance programme FiMS, see https://fims.mathematik.uni-kl.de

Possible Study achievement (Übungsschein Grundlagen der Mathematik I: Analysis)

  • Verification of study performance: proof of successful participation in the exercise classes (incl. written examination)
    Qualified proof of successful participation in the exercise classes requiring active participation in the exercises, successful completion of homework and passing the final exam for the exercise classes (intermediate exam in the middle of the lecture period and final exam approx. two weeks after the end of the lecture period).

Contents

  • real and complex numbers (axiomatically),
  • sequences, limits and series, power series; elementary functions,
  • continuity,
  • differentiation (one-dimensional),
  • integration (one-dimensional).

Literature

  • O. Forster: Analysis 1
  • H. Heuser: Lehrbuch der Analysis, Teil 1
  • M. Barner, F. Flohr: Analysis I
  • K. Königsberger: Analysis 1

Materials

Further literature will be announced in the lecture(s); exercise material is provided.

Registration

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

Requirements for attendance (informal)

None

Requirements for attendance (formal)

None

References to Course [MAT-10-11A-K-2]

Module Name Context
[MAT-10-11-M-2] Fundamentals of Mathematics A: Linear Algebra I and Analysis I P: Obligatory 4V+2U+2T, 9.0 LP
[MAT-10-11P-M-2] Fundamentals of Mathematics I (for Students of Physics) P: Obligatory 4V+2U+2T, 9.0 LP
[MAT-10-12L_ERW-M-2] Fundamentals of Mathematics B: Linear Algebra II and Analysis II P: Obligatory in Obligatory-Modulteil #A (Exercise Classes Fundamentals of Mathematics I) 2U+2T, 4.0 LP
[MAT-10-1-M-2] Fundamentals of Mathematics P: Obligatory in Obligatory-Modulteil #A (Fundamental of Mathematics I) 4V+2U+2T, 9.0 LP
[PHY-M1-M-2] Fundamentals of Mathematics (for Physics) P: Obligatory in Obligatory-Modulteil #A (Grundlagen der Mathematik I) 4V+2U+2T, 7.0 LP