Syllabus

Title
4707 Probability
Instructors
ao.Univ.Prof. Dr. Klaus Pötzelberger
Type
PI
Weekly hours
2
Language of instruction
Englisch
Registration
02/18/21 to 02/21/21
Registration via LPIS
Notes to the course
This class is only offered in summer semesters.
Dates
Day Date Time Room
Tuesday 03/09/21 09:30 AM - 11:30 AM Online-Einheit
Wednesday 03/10/21 09:30 AM - 11:30 AM Online-Einheit
Tuesday 03/16/21 09:30 AM - 11:30 AM Online-Einheit
Wednesday 03/17/21 02:00 PM - 04:00 PM Online-Einheit
Tuesday 03/23/21 09:30 AM - 11:30 AM Online-Einheit
Wednesday 03/24/21 02:00 PM - 04:00 PM Online-Einheit
Tuesday 04/13/21 09:30 AM - 11:30 AM Online-Einheit
Wednesday 04/14/21 02:00 PM - 04:00 PM Online-Einheit
Tuesday 04/20/21 09:30 AM - 11:30 AM Online-Einheit
Wednesday 04/21/21 02:00 PM - 04:00 PM Online-Einheit
Tuesday 04/27/21 09:30 AM - 11:30 AM Online-Einheit
Wednesday 04/28/21 02:00 PM - 04:00 PM Online-Einheit
Contents

This is an undergraduate course which aims to provide students of Business Mathematics Specialization with the basic ideas of probability required for the study of Economics and related subjects.

Learning outcomes

After completing this class successfully the student will have the ability to:

  • Define, describe and work with the basic concepts in probability,
  • Understanding and modeling of random phenomenon,
  • Use methods and ideas from probability to solve simple real-world problems.


Attendance requirements

Students have to attend at least 10 of the 12 lectures, at most two lectures can be missed. In case of illness a medical attest is necessary. In exceptional cases students have to inform the lecturer in advance. Unit 10, 11 (presentation of projects) and unit 12 (exam) may not be missed.

These rules apply also to online units.

Teaching/learning method(s)

The course consists of lectures and accompanying weekly tutorials The lecture part presents the theoretical concepts and gives examples. Students can work out a project in applied probability related to the taught material. In times of distance learning the tutorials are replaced by exercises as homework.

Assessment

In case of distamce learning:

  • 35% weekly tutorials or homework exercises
  • 25% final exam
  • 40% project in applied probability

There will be no opportunity to retake the final exam.

Prerequisites for participation and waiting lists

Successful completion of Analysis and Linear Algebra course is necessary.

Readings
1 Author: John A. Rice
Title:

Mathematical Statistics and Data Analysis


Publisher: Thomson Brooks/Cole
Edition: 3rd
Year: 2007
Type: Book
2 Author: Murray R Spiegel, John J. Schiller, R.Alu Sriniyasan
Title: Schaum´s Outlines of Probability and Statistics

Publisher: McGraw Hill
Edition: 2nd
Year: 2000
Content relevant for class examination: No
Content relevant for diploma examination: No
Recommendation: Reference literature
Type: Book
3 Author: Pötzelberger Klaus
Title:

Specialization in Business Mathematics: Probability

http://statmath.wu.ac.at/courses/probability/


Year: 2017
Content relevant for class examination: Yes
Recommendation: Essential reading for all students
Type: Script
Availability of lecturer(s)
klaus.poetzelberger@wu.ac.at
Unit details
Unit Date Contents
1

Sample spaces, probability measures, computing probabilities.

Reference: Handout



2

Univariate probability distributions.

Reference: Handout chapter 2.



3

Univariate probability distributions.

Reference: Handout chapter 2.



4

Applications.

Reference: Handout chapter 3.



5

Multivariate probability distributions.

Reference: Handout chapter 4.



6

Multivariate probability distributions.

Reference: Handout chapter 5.



7

Limit laws, CRR model.

Reference: Handout chapter 6.



8

Limit laws, CRR model.

Reference: Handout chapter 6.


9

Monte Carlo simulation.

Reference: Handout chapter 7.


10

Projects.


11

Projects

12

Final Exam

Last edited: 2021-02-24



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