Syllabus

Title
4875 Probability
Instructors
ao.Univ.Prof. Dr. Klaus Pötzelberger
Contact details
  • Type
    PI
  • Weekly hours
    2
  • Language of instruction
    Englisch
Registration
02/19/19 to 03/01/19
Registration via LPIS
Notes to the course
Subject(s) Bachelor Programs
Dates
Day Date Time Room
Tuesday 03/05/19 11:00 AM - 01:00 PM TC.3.01
Wednesday 03/06/19 01:30 PM - 03:30 PM TC.4.01
Tuesday 03/12/19 11:00 AM - 01:00 PM TC.3.01
Wednesday 03/13/19 01:30 PM - 03:30 PM TC.4.01
Tuesday 03/19/19 11:00 AM - 01:00 PM D4.0.022
Wednesday 03/20/19 01:30 PM - 03:30 PM TC.4.01
Tuesday 03/26/19 08:00 AM - 10:00 AM D5.0.002
Wednesday 03/27/19 12:30 PM - 01:30 PM TC.4.03
Tuesday 04/02/19 11:00 AM - 01:00 PM TC.3.01
Wednesday 04/03/19 01:30 PM - 03:30 PM TC.4.01
Tuesday 04/09/19 11:00 AM - 01:00 PM D4.0.022
Wednesday 04/10/19 01:30 PM - 03:30 PM TC.4.01

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

Full attendance is compulsory. This means that students should attend at least 80% of all lectures, at most one lecture can be missed.

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.

Assessment

  • 20% weekly tutorials
  • 45% final exam
  • 35% project in applied probability

There will be no opportunity to retake the final exam. The exam is a closed-book 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: 2019-03-01



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