Syllabus

Title
4527 Mathematics II (Science Track)
Instructors
ao.Univ.Prof. Dr. Josef Leydold
Contact details
josef.leydold@wu.ac.at
Type
PI
Weekly hours
4
Language of instruction
Englisch
Registration
02/07/19 to 02/17/19
Registration via LPIS
Notes to the course
The subject "Mathematics II " (MaVW 9+10) will be held in the summer semester 2019 for the last time!
Subject(s) Master Programs
Mathematics II
Mathematics II
Dates
Day Date Time Room
Tuesday 02/26/19 10:00 AM - 12:00 PM TC.2.03
Thursday 02/28/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 03/05/19 10:00 AM - 12:00 PM TC.2.03
Thursday 03/07/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 03/12/19 10:00 AM - 12:00 PM TC.2.03
Thursday 03/14/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 03/19/19 10:00 AM - 12:00 PM TC.2.03
Thursday 03/21/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 03/26/19 10:00 AM - 12:00 PM TC.2.03
Thursday 03/28/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 04/02/19 10:00 AM - 12:00 PM D2.0.326
Thursday 04/04/19 10:00 AM - 12:00 PM D2.0.392
Monday 04/08/19 01:00 PM - 02:00 PM TC.4.28
Tuesday 04/09/19 10:00 AM - 12:00 PM TC.2.03
Thursday 04/11/19 10:00 AM - 12:00 PM TC.2.03
Monday 04/29/19 01:00 PM - 02:00 PM TC.4.28
Tuesday 04/30/19 10:00 AM - 12:00 PM TC.2.03
Thursday 05/02/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 05/07/19 10:00 AM - 12:00 PM TC.2.03
Thursday 05/09/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 05/14/19 10:00 AM - 12:00 PM TC.2.03
Thursday 05/16/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 05/21/19 10:00 AM - 12:00 PM TC.2.03
Thursday 05/23/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 05/28/19 10:00 AM - 12:00 PM TC.2.03
Tuesday 06/04/19 10:00 AM - 12:00 PM TC.3.21
Thursday 06/06/19 10:00 AM - 12:00 PM TC.2.03
Thursday 06/13/19 10:00 AM - 12:00 PM D5.1.001
Tuesday 06/18/19 10:00 AM - 12:00 PM TC.2.03

On this page:

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Contents
  • Basic ideas of topology
  • Taylor series
  • Impicit function theorem
  • Concave and convex functions
  • Static optimization
  • Dynamic systems
  • integration
  • multiple integrals
  • ordinary differential equations of first and second order initial value problem linear and logistic differential equation
  • autonomous differential equation phase diagram stability von solutions
  • systems of differential equations stationary points (stable, unstable, saddle points) characterization using eigenvalues
  • control theory Hamilton function transversality condition
  • saddle path solutions
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Learning outcomes
Students who successfully complete this course will be able to analyze dynamic systems that play a crucial role in macro economic analysis. Besides fundamental methods like integration and basic concepts for handling differential equations students will also be able to apply tools for dynamic optimization. They will be familiar with the two most important methods in mathematics:Firstly they can use a computer algebra system to play around with particular cases of the system in question. Thus they should be able to explore its structures, educate their intuition and maybe establish some conjectures. Secondly they will have acquired basic techniques to prove or disprove particular statements. The latter is important for those students who plan to work in the field of mathematical economics.
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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 is divided into three parts that interlace during the course:
  1. Lectures, where the required material is presented by the supervisor.
  2. Homeworks, where the students get familiar with the mathematics techniques.
  3. Presentation of students' solution, where possible problems and common mistakes are discussed.
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Assessment

It is expected that the students will do all their homework. This will be controlled by grading presentations of homework results (20%) as well as 10 quizzes (short intermediate tests, 80%) which will take place on Thursdays.

 

The moving sum of credit points over 3 quizzes must not below 15 points to get a positive grade for the course.

  credit points (%)     remark
Homework presentations     10 each
Quizzes 10 each max 80 (8 best of 10 quizzes)
Sum 100 min 50 for positive grade
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Readings
1 Author: Alpha C. Chiang and Kevin Wainwright
Title: Fundamental methods of mathematical economics

Publisher: McGraw - Hill
Edition: 4th edition
Year: 2005
Type: Book
2 Author: K. Sydsaeter, P. Hammond, A. Seierstad, A. Ström
Title: Further Mathematics for Economic Analysis

Publisher: Prentice Hall
Year: 2005
Type: Book
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Availability of lecturer(s)
josef.leydold@wu.ac.at
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Additional information on MyLEARN.
Further informations and learning materials can be found at the web page for this course.
Last edited: 2018-11-07



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