The undergraduate mathematics qualifying examination cover the following topics.
Sets of numbers; equations and inequalities; systems of linear equations; vectors; elementary functions; finite sequences and series; basic concepts of differential and integral calculus; introduction to probability and statistics.
Sets of numbers; equations and inequalities; vectors; elementary functions; finite sequences and series; basic concepts of differential and integral calculus; trigonometry and angular functions; vector analytic geometry (straight lines, planes, circle sphere).
Topics of Mathematics 1, 2, and additionally: introduction to probability and statistics; complex numbers; extension and explication of infinitesimal calculus (limits of sequences and functions, continuity, differentiability, integrability).
Any higher-level mathematics book, such as the book "Understanding Mathematics 8" by Günther Malle et al. published by ÖBV, may serve as reference material for the exam preparation. In particular, this book provides an overview of the ninth to twelfth grade high-school mathematics material. Especially Chapters 9 to 13 deal with topics relevant for exams. A table of contents of the book can be found here, opens an external URL in a new window.
The following pdf files contain sample exams from previous years:
- Sample exam Prof. Karigl (PDF)
- Sample exam Prof. Schranz-Kirlinger (PDF)
- Sample exam Prof. Winkler (PDF)