Module Handbook

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Module EIT-EMS-454-M-2

Principles and Applications of Probability Theory (M, 4.0 LP)

Module Identification

Module Number Module Name CP (Effort)
EIT-EMS-454-M-2 Principles and Applications of Probability Theory 4.0 CP (120 h)

Basedata

CP, Effort 4.0 CP = 120 h
Position of the semester 1 Sem. in WiSe
Level [2] Bachelor (Fundamentals)
Language [DE] German
Module Manager
Lecturers
Area of study [EIT-EMS] Microelectronic Systems Design
Reference course of study [EIT-82.781-SG#2019] B.Sc. Electrical and Computer Engineering [2019]
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.
3V EIT-EMS-454-K-2
Principles and Applications of Probability Theory
P 25 h 95 h
K-Schein
ja PL1 4.0 WiSe
  • About [EIT-EMS-454-K-2]: Title: "Principles and Applications of Probability Theory"; Presence-Time: 25 h; Self-Study: 95 h
  • About [EIT-EMS-454-K-2]: The study achievement [K-Schein] proof of successful participation in written examination must be obtained. It is a prerequisite for the examination for PL1.

Examination achievement PL1

  • Form of examination: written exam (Klausur) (120 Min.)
  • Examination Frequency: each semester

Evaluation of grades

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


Contents

  • Various terms and definitions of probability
  • Stochastic independence, joined experiments
  • Random Variables (ZV) and moments
  • Special distributions of continuous and discrete random variables, multi-dimensional random variables, covariance matrix
  • Application examples: reliability theory and safety
  • Mathematical statistics, parameter estimation, confidence estimators

Competencies / intended learning achievements

After completing this module you can...
  • ... define and explain the terms "Event", "Probability", "Random Variable", "Density Function", "Distribution Function", "Covariance Matrix", and "Correlation Coefficient".
  • ... describe and model technical applications with probability theory formalisms and calculate given tasks.
  • ... apply foundations of statistics to practical problems and compute and interpret statistical tests.
  • ... gather and acquire information and helpful sources for various topics on your own, use the gained know-how for solving given tasks, and evaluate and reflect your own learning strategies.

Requirements for attendance (informal)

None

Requirements for attendance (formal)

None

References to Module / Module Number [EIT-EMS-454-M-2]

Course of Study Section Choice/Obligation
[EIT-82.781-SG#2019] B.Sc. Electrical and Computer Engineering [2019] Fundamentals of Mathematics and Sciences (MNG) [P] Compulsory
[EIT-82.A44-SG#2018] B.Sc. Media and Communication Technology [2018] Fundamentals of Mathematics and Sciences (MNG) [P] Compulsory
[EIT-82.?-SG#2021] B.Sc. Electrical and Computer Engineering [2021] Fundamentals of Mathematics and Sciences (MNG) [P] Compulsory
[EIT-82.?-SG#2021] B.Sc. Media and Communication Technology [2021] Fundamentals of Mathematics and Sciences (MNG) [P] Compulsory