Syllabus

Title
4875 Probability
Instructors
ao.Univ.Prof. Dr. Klaus Pötzelberger
Contact details
klaus.poetzelberger@wu.ac.at
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
Course III - Business Mathematics
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

On this page:

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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.

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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.


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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.

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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.

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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!

 

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Prerequisites for participation and waiting lists

Successful completion of Analysis and Linear Algebra course is necessary.

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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
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Availability of lecturer(s)
klaus.poetzelberger@wu.ac.at
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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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