Syllabus

Title
5595 Mathematical Methods 1 - Mathematics Essentials
Instructors
Dr. Andrea Wagner
Contact details
  • Type
    PI
  • Weekly hours
    2
  • Language of instruction
    Englisch
Registration
02/12/19 to 02/28/19
Registration via LPIS
Notes to the course
Subject(s) Bachelor Programs
Dates
Day Date Time Room
Wednesday 03/06/19 09:30 AM - 12:00 PM TC.3.08
Monday 03/11/19 02:00 PM - 04:30 PM TC.5.02
Wednesday 03/13/19 09:30 AM - 12:00 PM TC.3.08
Monday 03/25/19 01:30 PM - 04:00 PM TC.4.13
Wednesday 03/27/19 09:30 AM - 12:00 PM TC.3.08
Monday 04/01/19 02:00 PM - 04:30 PM TC.3.11
Wednesday 04/03/19 12:00 PM - 02:30 PM D2.0.392
Monday 04/08/19 02:00 PM - 04:30 PM TC.3.07
Thursday 04/11/19 09:30 AM - 12:00 PM TC.3.06

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.

Attendance requirements

≥ 75 % Attendance

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

  • intermediate test (45 %)
  • final test (45 %)
  • homework assignments + presentation of solutions in class + mini tests (10 %)

Detailed information will be provided in the first unit of the course.

 

 

Readings

1 Author: Kevin Houston
Title: How to think like a mathematician

Publisher: Cambridge University Press
Year: 2009
Type: Book
2 Author: Kevin Houston
Title:

Wie man mathematisch denkt


Publisher: Springer Spektrum
Year: 2011
Type: Book
3 Author: Daniel Velleman
Title: How to prove it

Publisher: Cambridge University Press
Year: 1998
Type: Book
4 Author: Hermann Schichl, Roland Steinbauer
Title: Einführung in das mathematische Arbeiten

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

Publisher: Springer
Year: 2009
Type: Book
6 Author: Knut Sydsæter, Peter Hammond
Title: Essential Mathematics for Economic Analysis

Publisher: Prentice Hall
Year: 2008
Type: Book
7 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: 2019-03-15



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