Syllabus

Title
0873 Analysis and Linear Algebra
Instructors
Dr. Sühan Altay, ao.Univ.Prof. Dr. Klaus Pötzelberger
Type
PI
Weekly hours
4
Language of instruction
Englisch
Registration
09/19/19 to 09/22/19
Registration via LPIS
Notes to the course
Dates
Day Date Time Room
Tuesday 10/01/19 04:00 PM - 05:30 PM D3.0.225
Wednesday 10/02/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 10/08/19 04:00 PM - 05:30 PM D3.0.225
Wednesday 10/09/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 10/15/19 04:00 PM - 05:30 PM D3.0.225
Wednesday 10/16/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 10/22/19 04:00 PM - 05:30 PM D3.0.225
Wednesday 10/23/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 10/29/19 04:00 PM - 05:30 PM TC.5.12
Wednesday 10/30/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 11/05/19 04:00 PM - 05:30 PM TC.5.02
Wednesday 11/06/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 11/12/19 04:00 PM - 05:30 PM D3.0.225
Wednesday 11/13/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 11/19/19 04:00 PM - 05:30 PM D3.0.225
Wednesday 11/20/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 11/26/19 04:00 PM - 05:30 PM D3.0.225
Wednesday 11/27/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 12/03/19 04:00 PM - 05:30 PM D3.0.225
Wednesday 12/04/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 12/10/19 04:00 PM - 05:30 PM TC.5.15
Wednesday 12/11/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 12/17/19 04:00 PM - 05:30 PM D3.0.225
Wednesday 12/18/19 04:00 PM - 05:30 PM TC.4.03
Tuesday 01/14/20 04:00 PM - 05:30 PM D3.0.225
Tuesday 01/14/20 05:30 PM - 07:00 PM D3.0.225
Wednesday 01/15/20 04:00 PM - 05:30 PM TC.4.03
Tuesday 01/21/20 04:00 PM - 05:30 PM D3.0.225
Tuesday 01/21/20 05:30 PM - 07:00 PM D3.0.225
Wednesday 01/22/20 04:00 PM - 05:30 PM TC.4.03
Contents

After attending this session and studying its contents thoroughly students should be able to define the following concepts, to comprehend the concepts and explain their meaning, to state and explain the main results and to solve problems by applying the concepts.

  • Basic calculus and algebra
  • Linear algebra
  • Multivariate calculus
  • Static optimization
Learning outcomes

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

  • Describe, explain, and work with the basic concepts and definitions of linear algebra, one- and multivariable analysis, topology, static optimization.
  • Organize and integrate ideas and information from analysis and linear algebra.
  • Solve applied problems where skills are required from analysis and linear algebra.


Attendance requirements

For this lecture participation is obligatory. Students are allowed to miss a maximum of 20% (no matter if excused or not excused).

Teaching/learning method(s)

The course is taught as a lecture accompanied with weekly tutorials. The lectures are aimed at providing the theoretical framework, while the tutorials help students to comprehend the key ideas of the lectures. The tutorials are based on the week’s lecture and include relevant mathematical problems that have to be solved and discussed. Students present prepared problems (exercises as homework) and work on new ones in the class.

Assessment
  • 30% weekly tutorials, presentation of problems, homework
  • 35% midterm exam and 35% final exam

There will be no opportunity to retake the exams.


Readings
1 Author: [SHSS] Knut Sydsaeter, Peter Hammond, Atle Seierstad, Arne Strom
Title: Further Mathematics for Economic Analysis

Publisher: Prentice Hall
Edition: 2nd
Remarks: The contents of the course are covered by this reference
Year: 2008
2 Author: [JL] Josef Leydold
Title: Mathematik Grundlagen

Publisher: WU Wien
Remarks: The contents of the course are covered by this reference
Type: Script
3 Author: [S1] Elliot Mendelson
Title: Beginning Calculus, Schaum´s Outline Series

Publisher: McGraw Hill
Edition: 3rd
Remarks: Exercises for the admission test
Year: 2008
Type: Book
4 Author: [S2] Seymor Lipschutz, Marc Lipson
Title: Linear Algebra, Schaum´s Outline Series

Publisher: McGraw Hill
Edition: 4th
Remarks: This is an introduction to Linear Algebra
Year: 2009
Type: Book
5 Author: [S3] Richard Bronson
Title: Matrix Operations, Schaum´s Outline Series

Publisher: McGraw Hill
Edition: 2nd
Remarks: Linear Algebra with focus on (more advanced) matrix operations
Year: 2011
Type: Book
6 Author: [S4] Robert Wrede, Murray R. Spiegel
Title: Advanced Calculus, Schaum´s Outline Series

Publisher: McGraw Hill
Edition: 3rd
Remarks: Univariate and multivariate analysis
Year: 2010
Type: Book
Recommended previous knowledge and skills
  • Necessary: Successful admission to the Spezialisierung Wirtschaftsmathematik.
  • Advantageous: Ability to work with mathematical concepts such as: Basic set theory, convergence of sequences and functions, linear mappings and matrices, integration, derivative.


Availability of lecturer(s)

klaus.poetzelberger@wu.ac.at, suehan.altay@wu.ac.at

 

Other

Further reading:

The books from "Schaum´s Outline Series"  contain short but self-contained reviews of the mathematical concepts and a large collection of problems with solutions. Hence they are an ideal source for additional exercises.

Last edited: 2019-08-06



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