Syllabus

Title
5789 Mathematical Methods 1 - Mathematics Essentials
Instructors
Dr. Andrea Wagner
Contact details
Type
PI
Weekly hours
2
Language of instruction
Englisch
Registration
02/21/18 to 03/01/18
Registration via LPIS
Notes to the course
Subject(s) Bachelor Programs
Dates
Day Date Time Room
Tuesday 03/06/18 08:45 AM - 11:15 AM TC.4.02
Thursday 03/08/18 02:00 PM - 04:00 PM TC.5.18
Tuesday 03/20/18 08:45 AM - 11:15 AM TC.4.02
Thursday 03/22/18 02:00 PM - 04:00 PM TC.5.18
Tuesday 04/10/18 08:45 AM - 11:15 AM TC.4.02
Thursday 04/12/18 02:00 PM - 04:00 PM TC.4.02
Tuesday 04/24/18 08:45 AM - 11:15 AM TC.4.02
Thursday 04/26/18 02:00 PM - 04:00 PM TC.5.18
Thursday 05/03/18 02:00 PM - 04:00 PM TC.4.04
Tuesday 05/08/18 08:45 AM - 11:15 AM TC.5.02
Contents
The course covers the following topics:
  • Basic mathematical vocabulary: Definition, Theorem, Proof,...
  • Sums and Products
  • Sets
  • Logic
  • Techniques of proof
  • Functions
  • sup, inf, max, min
  • Sequences (convergence)
Learning outcomes

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

  • Understand and use fundamental mathematical vocabulary.
  • Recognize and describe different proof techniques and apply them to simple problems.
  • Define and explain several mathematical concepts (e.g. function, sequences, convergence etc.) and give examples.
  • Analyse and structure (mathematical) problems.
  • Read and comprehend simple mathematical texts.
  • Present and communicate mathematical problems and their solutions.

Apart from that, the class will contribute to the ability to:

  • Participate in group discussions/team work.
Teaching/learning method(s)

The purpose of the class is to give an introduction to basic mathematical concepts and methods as a preparation for the mathematics lectures of the Master in Quantitative Finance curriculum.

The class is mainly taught as a combination of lectures and exercises with homework assignments. Students present their solutions which will be discussed in the group.

Assessment
  • 3 written tests
  • homework assignments + presentation of solutions in class (extra points)

The written tests will be strongly related to the problems already discussed in class.

 

 

Readings
1 Author: Hermann Schichl, Roland Steinbauer
Title: Einführung in das mathematische Arbeiten

Publisher: Springer
Year: 2009
Type: Book
2 Author: Frank Riedel, Philipp Wichardt
Title: Mathematik für Ökonomen

Publisher: Springer
Year: 2009
Type: Book
3 Author: Kevin Houston
Title: How to think like a mathematician

Publisher: Cambridge University Press
Year: 2009
Type: Book
4 Author: Daniel Velleman
Title: How to prove it

Publisher: Cambridge University Press
Year: 1998
Type: Book
5 Author: Knut Sydsæter, Peter Hammond
Title: Essential Mathematics for Economic Analysis

Publisher: Prentice Hall
Year: 2008
Type: Book
6 Author: Knut Sydsæter, Peter Hammond, Atle Seierstad, Arne Strøm
Title: Further Mathematics for Economic Analysis

Publisher: Prentice Hall
Year: 2008
Type: Book
Availability of lecturer(s)

andrea.wagner@wu.ac.at

Other
Course Readings:The material will be made available at Learn@WU.
Last edited: 2018-01-29



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