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 of the module (informal)

None

Requirements for attendance of the module (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] Fundamentals of Mathematics and Sciences (MNG) [P] Compulsory
[EIT-82.A44-SG#2018] B.Sc. Media and Communication Technology [2018] [Fundamentals] Fundamentals of Mathematics and Sciences (MNG) [P] Compulsory
[EIT-82.A44-SG#2021] B.Sc. Media and Communication Technology [2021] [Fundamentals] Fundamentals of Mathematics and Sciences (MNG) [P] Compulsory
[EIT-82.781-SG#2021] B.Sc. Electrical and Computer Engineering [2021] [Fundamentals] Fundamentals of Mathematics and Sciences (MNG) [P] Compulsory