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Mathematics 2

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics 2
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Computer Science and Communication Systems, Bachelor, ASPO 01.10.2014
Module code: KI260
SAP-Submodule-No.:
The exam administration creates a SAP-Submodule-No for every exam type in every module. The SAP-Submodule-No is equal for the same module in different study programs.
P221-0002
Hours per semester week / Teaching method:
The count of hours per week is a combination of lecture (V for German Vorlesung), exercise (U for Übung), practice (P) oder project (PA). For example a course of the form 2V+2U has 2 hours of lecture and 2 hours of exercise per week.
4V+2U (6 hours per week)
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
8
Semester: 2
Mandatory course: yes
Language of instruction:
German
Assessment:
Ninety-minute written exam

[updated 20.03.2007]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

KI260 (P221-0002) Computer Science and Communication Systems, Bachelor, ASPO 01.10.2014 , semester 2, mandatory course
Workload:
Workload of student for successfully completing the course. Each ECTS credit represents 30 working hours. These are the combined effort of face-to-face time, post-processing the subject of the lecture, exercises and preparation for the exam.

The total workload is distributed on the semester (01.04.-30.09. during the summer term, 01.10.-31.03. during the winter term).
90 class hours (= 67.5 clock hours) over a 15-week period.
The total student study time is 240 hours (equivalent to 8 ECTS credits).
There are therefore 172.5 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
KI160 Mathematics 1


[updated 01.04.2003]
Recommended as prerequisite for:
KI360 Mathematics 3
KI430 System Management and Security
KI560 Digital Signal Processing
KI575 Machine Learning
KI579 Simulation of Discrete Systems with AnyLogic
KI584 Information Retrieval
KI637 Mathematical Software Systems and Algorithmic Applications
KI672 Numerical Software
KI676 Computer Graphics
KI691
KI692 Computer Vision
KI693


[updated 26.04.2021]
Module coordinator:
Prof. Dr. Rainer Lenz
Lecturer:
Prof. Dr. Barbara Grabowski
Prof. Dr. Rainer Lenz
Dipl.-Ing. Dirk Ammon (exercise)


[updated 06.10.2010]
Learning outcomes:
After completing this course, students will be have acquired an understanding of differential calculus, integral calculus and infinite series.

[updated 13.03.2007]
Module content:
1. Differential calculus
1.1......The concept of derivative
1.2......Basic rules of differentiation
1.3......Derivatives of elementary functions
1.4......The differential of a function
1.5......The mean value theorem of differential calculus
1.6......Computing boundary values
2. Integral calculus
2.1......Indefinite integrals
2.2......Definite integrals
2.3......The application of integral calculus in geometry
2.4......Techniques of integration
2.5......Applications of integral calculus
2.6......Numerical integration
2.7......Improper integrals
3. Infinite series
3.1......Series with constant terms
3.2......Sequences and series of functions
3.3......Power series
3.4......Taylor series
3.5......Fourier series
4. Differential equations


[updated 13.03.2007]
Recommended or required reading:
PAPULA L., Mathematik für Ingenieure und Naturwissenschaftler, Vieweg, 2000
PAPULA L., Mathematische Formelsammlung für Ingenieure und Naturwissenschaftler, Vieweg, 2000
BRONSTEJN I., MUSIOL G., MÜHLIG H., Taschenbuch der Mathematik, Deutsch, 2000


[updated 13.03.2007]
Module offered in:
SS 2017, SS 2016, SS 2015, SS 2014, SS 2013, ... 
[Mon Dec 23 02:41:27 CET 2024, CKEY=mathe2, BKEY=ki, CID=KI260, LANGUAGE=en, DATE=23.12.2024]