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VWU Vienna · Ergänzungsprüfung Mathematik (EPM)

EPM preparation for every topic of the exam

The course follows the topics of the VWU written maths exam, with nothing extra. Every topic has interactive theory and plenty of problems, and every problem has a detailed worked solution.

11
topics
1,379
practice tasks
€79
exam pass for 3 months
Our approach

Try the product itself, right here

The same Theory and Practice tabs you get inside the course. Read the explanation and solve a task right away.

EPM · Optimization

A box from a sheet: the largest volume

Drag the corner of the sheet toward the center. The arrow keys move the cut by 1 mm, with Shift by 1 cm.

Step by step · 1/5
Here is a square cardboard sheet, a = 30 cm. Drag the corner of the sheet toward the center: a small square with side x is cut from each corner, and the edges fold up into the walls of a box.
Take the corner of the sheet and pull
x 0.0 cmsheet 30 × 30 cmV 0 cm³
Exam, problem 10. Equal squares are cut from the corners of a square cardboard sheet with side 30 cm, and the edges are folded up into an open box. What side should the cut squares have for the box to hold the most? Find this volume.
Program

Course topics

The written exam task by task, in its usual order. Select a task to see what it checks.

Task 1Probability & Combinatoricsfree

240 problems in the trainer

This topic appears on an exam with a probability of 100%.

Tasks 1 and 2 come in either order: one is on Probability & Combinatorics, the other on Trigonometry.

  • 2x2 Contingency Table
  • Probability Density Function
  • Combinatorics
  • Conditional Probability
  • Binomial Distribution
  • Fair Game / Expected Value
  • Geometric Distribution
What you get

What's inside the course

1,379

tasks

Sorted by exam topic, with your answers checked as you go.

38

interactive theory articles

Graphs you can drag and exercises right in the text.

Step-by-step solutions

Tasks come with worked solutions, so you see at which step you went wrong.

Ready to start?

The “Probability & Combinatorics” topic is open in full, no registration needed. Full access unlocks every topic.

€39/ monthFull access

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How the written exam is graded

The written paper has two parts, and you need at least half the points in each. If one part is below 50 %, the exam is failed, even when the overall percentage is high. Below is an example.

Written exam · 180 min
Two parts, at least 50 % in each. Every step goes on paper: a correct result without working is marked Nicht beurteilt.
Oral exam · 2 questions
Only after passing the written part, about 20 minutes to prepare. Course students skip it with 3 of 4 positive bonus grades.
Exam fee · €66
For each attempt. The exam is held 3 times a semester, and you can retake it up to 4 times.
Full format, dates & fees

Ergänzungsprüfung Mathematik · schriftlich

PartPointsMinimum
Teil 1 · Wahrscheinlichkeit, Trigonometrie, Vektoren9 / 2050 %
Teil 2 · alle anderen Kapitel30 / 3550 %
Total39 / 55

Ergebnis: nicht bestanden

An example result. 71 % overall would be grade 3, but Teil 1 is at 45 %, under 50 %, so the paper fails.

EPM FAQ

Preparation organised by the topics of the exam, with no topics you do not need. Every topic has interactive theory and plenty of tasks, and every task has a detailed explanation of how to solve it. Access opens right after payment.

The exam pass (€79) gives 3 months of access from the day you pay and then ends on its own. The monthly plan (€39) runs one month at a time and renews until you cancel it.

The exam pass is a single payment: it never renews and there is nothing to cancel. The monthly plan renews every month; you can cancel it at any time from your account page, and access continues until the end of the month you have already paid for.

Not yet: the course prepares you for the written exam. We will add an oral exam trainer soon.

The written paper has two parts. The first covers probability and statistics, trigonometry and vectors, the second all the other topics: Curve Sketching, Functions & Tangents, Definite Integrals, Indefinite Integrals, Exponential Functions, Sequences & Series, Newton's Method, and Optimization.

At least 50 % in each of the two written parts; there is no separate overall minimum. The overall percentage then sets the grade: from 87.5 % a 1, from 75 % a 2, from 62.5 % a 3, from 50 % a 4.

Yes. Every task must be worked out on paper, side calculations included. A correct result without a traceable solution is marked Nicht beurteilt, not assessed.

A simple non-programmable calculator from the VWU's list. The list itself is not public, so check your model with your course teacher or the VWU. The ÖBV Mathematische Formelsammlung and the formula sheet on vectors are allowed with no notes in them; both are checked, and anything else is taken away.

You may take it only after passing the written part. You get two questions and about 20 minutes to prepare, and both answers must be positive. Course students skip it if 3 of their 4 bonus grades from the exercises are positive.

The Past exams section collects past VWU written maths exams. You can solve them with a timer, as in the real exam.

The fee is €66 for each attempt. The exam is held three times a semester, and you can retake it up to four times.

Yes, you can register without attending a course. Candidates outside the course get information from the course leader, johann.brandstetter@vwu.ac.at.