Program Overview

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Program Overview

The university program in question appears to be a mathematics course, specifically "Mathematik 2 (HS24)," which is part of the economics faculty. The course covers two main areas: linear algebra and stochastic processes.

Course Content

Linear Algebra

The linear algebra component of the course includes topics such as:

• Vectors
• Matrices
• Rank
• Determinant
• Linear mappings
• Linear dependence
• Eigenvalues and eigenvectors
• Quadratic forms and their definiteness
• Difference equations

Stochastic Processes

The stochastic processes component covers:

• Probability spaces
• (Continuous) random variables
• (Continuous) standard distributions
• Random vectors
• Joint distribution
• Marginal distribution
• Conditional distribution
• Conditional expectation
• Central limit theorem
• Estimation
• Testing

Organizational Details

• The lecture is completely online and independent of time windows.
• New lecture videos are made available every Monday at 8:00 AM on ADAM.
• Students are expected to watch the videos, study the script, and then work on the exercise problems at the end of the script.
• Model solutions to the exercise problems are provided every Friday at 8:00 AM on ADAM.

Teaching Materials

Primary Teaching Materials

• Scripts for the lecture (available on the homepage and on ADAM)
• Lecture videos (on ADAM)
• Model solutions to the exercise problems (on ADAM)

Supplementary Literature for Linear Algebra

• Sydsaeter, K., Hammond, P.: Mathematik für Wirtschaftswissenschaftler, Pearson Studium.
• Riedel, F., Wichardt, P.: Mathematik für Ökonomen, Springer.
• Chiang, Alpha C.: Fundamental Methods of Mathematical Economics, McGraw-Hill International Editions.

Supplementary Literature for Stochastic Processes

• Schira, J.: Statistische Methoden der VWL und BWL, Pearson.
• Wewel, W.W.: Statistik im Bachelor-Studium der BWL und VWL, Pearson.
• Gross, J.: Grundlegende Statistik mit R, Vieweg+Teubner.

Software

• GeoGebra: A free dynamic mathematics software for learning and studying mathematics and statistics.
• R: A powerful and free program for statistical computing and graphics.

Examination

General Information

• The exam is 1.5 hours long.
• About 70% of the questions are based on the exercises (and example problems discussed in the lecture).
• About 30% of the questions directly test the material from the lecture (definitions, understanding of central concepts, easier proofs, and derivations).
• All material covered in the scripts (excluding *-chapters) is relevant for the exam.

Permitted Aids

• Calculator: Only simple calculators as per the study regulations are allowed.
• Formula collection: A copy of the formula collection will be provided during the exam.

Study Plan and Downloads

A detailed study plan is provided, outlining the topics for each week, along with the availability of scripts, model solutions, and supplementary materials.

Additional Support

• Theoretical deepening sessions are offered on Wednesdays.
• Open question hours are available on Mondays, divided into two parts: one for general questions and another for discussing specific problems or deepening foundations.

Given the constraints and the requirement to maintain a formal tone, the information has been extracted and presented in a structured markdown format, ensuring that all details are preserved and presented in a professional manner.