Syllabus

Title
5153 Mathematical Methods - Mathematics Essentials
Instructors
Dr. Andrea Wagner
Contact details
Type
PI
Weekly hours
2
Language of instruction
Englisch
Registration
02/14/22 to 03/03/22
Registration via LPIS
Notes to the course
Dates
Day Date Time Room
Tuesday 03/08/22 02:00 PM - 05:00 PM D4.0.022
Tuesday 03/15/22 02:00 PM - 05:00 PM TC.1.02
Tuesday 03/22/22 02:00 PM - 05:00 PM TC.4.03
Friday 03/25/22 02:00 PM - 05:00 PM TC.5.15
Tuesday 03/29/22 02:00 PM - 05:00 PM D3.0.233
Tuesday 04/05/22 02:00 PM - 05:00 PM TC.5.05
Friday 04/22/22 02:00 PM - 05:00 PM TC.3.03
Tuesday 04/26/22 02:00 PM - 05:00 PM TC.5.15
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

Since this is a course with an immanent examination character (PI), attendance is mandatory. Students can miss two units without excuse, absenteeism in further units must be excused / justified by email. This applies regardless of the learning mode (presence mode or distance teaching via MS TEAMS).

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
  • midterm exam (45%)
  • final exam (45 %)
  • homework assignments and presentation (10%)

There will be no opportunity to retake the exams.

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

 

 

Readings

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Availability of lecturer(s)

andrea.wagner@wu.ac.at

Other
Course Readings:The material will be made available at Learn@WU.
Last edited: 2022-02-21



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