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How to Prepare for VWU Exams in Vienna
What VWU is, which entrance exams you may need to sit (EPM, EPD, EPPh, onSET) and how to plan your preparation.
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VWU Vienna · Ergänzungsprüfung Mathematik
EPM · Mathematics
The full course for the VWU math exam: interactive theory for every topic, tasks with instant checking, and real past exam papers with a timed simulation.
- 11
- topics
- 1000+
- practice tasks
- 23
- past exams
- 37
- theory articles
- €39
- per month
Our approach
Try the product itself, right here
The same Theory and Practice tabs you get inside the course: learn it, feel it, solve it.
A volume made of infinitely many circles
Spin around the x-axis and slice the body into thin disks. Every slice is a circle, and its radius is the height of the curve, .
The area of one such circle is . Moving along the x-axis the radius grows, so the disks keep getting wider.
Split the interval into n thin disks and add up their volumes. That approximate total is a finite sum:
As the disks become infinitely thin, the sum collapses into an integral:
Spin the model and drag its right edge to watch the disks stack up into the solid.
a = 0.0b = 4.0V = π∫f²dx ≈ 25.13n = 6 disks
Program
Course topics
Everything the course covers, topic by topic.
1. Probability & CombinatoricsfreeCombinatorics, conditional probability, binomial distribution
- 2x2 Contingency Table
- Probability Density Function
- Combinatorics
- Conditional Probability
- Binomial Distribution
- Fair Game / Expected Value
- Geometric Distribution
2. TrigonometryLaw of sines and cosines, solving triangles
- Law of Sines
- Law of Cosines
- Quadrilaterals
- Trapezoids
3. Analytical GeometryVectors, planes, lines, distances and angles in space
- Planes
- Lines
- Normal Distance
- Intersection Point
- Intersection Angle
- Reflection across Planes
4. Curve SketchingExtrema, inflection points, asymptotes, zeros
- Rational Functions
- Exponential Functions
- Polynomial Functions
- Logarithm-Polynomial Functions
- Exponential-Polynomial Functions
5. Functions & TangentsCubic functions, tangent and normal line equations
- Finding Tangent Lines
- Polynomial from Tangents
- Implicit Tangent Conditions
6. Definite IntegralsArea and volume calculations
- Area Under Curve
- Area Between Curves
- Volume of Revolution
7. Indefinite IntegralsAntiderivatives, integration rules
- Antiderivative
- Integration by Parts
- Substitution
- L'Hôpital's Rule and Limits
8. Exponential FunctionsGrowth, decay, half-life, logarithms
- Exponential Growth
- Exponential Decay
- Half-life
- Logarithmic Equations
9. Sequences & SeriesArithmetic and geometric sequences, limits
- Arithmetic Sequence
- Geometric Sequence
- Sum Formulas
- Alternating and Mixed Series
10. OptimizationGeometric optimization, extremal problems
- Optimization Problems
- Geometric Optimization
11. Newton's MethodNumerical root finding, iterative methods
- Newton's Method
About the exam
Full format, dates & feesFormat and requirements
Written Exam ⏱️ 3 hours
9–10 problems
Oral Exam 🎤 ~20 minutes
15 minutes to solve 2–3 simplified problems (shorter than written ones)
Fees
€66. No additional payment required for the oral exam
Read before you start
Guides on EPM: exam format and preparation strategy.
Ready to start?
Past exams and the "Probability & Combinatorics" topic are free, no registration needed. Full access unlocks every topic.
€39/ monthFull course access
Instead of courses at €290-600. Cancel anytime, one click.
EPM FAQ
The EPM covers: probability theory, trigonometry, functions and tangents, analytical geometry (vectors, lines, planes), curve sketching, definite integrals, sequences and series, and exponential functions. The exam has 9-10 problems split into Teil A (basic) and Teil B (advanced).
The written part is 3 hours. The oral exam (if required) takes about 20 minutes: 15 minutes to solve 2-3 simplified problems, then explaining your solution to a 3-person committee.
You need at least 50% in Teil A, at least 50% in Teil B, and at least 50% overall (Gesamtnote). If you score high enough on the written part (3/4 of bonus points), you may be exempt from the oral exam.
Yes, but only simple non-programmable calculators from the approved list. Allowed models include: Casio FX-82, FX-85 series, TI-30 series, and others. Graphing and programmable calculators are not allowed.
You can bring: photo ID, writing supplies (pens, pencil, eraser), ruler/triangle, approved calculator, and the official Formelsammlung (formula collection) without personal notes. Electronic devices like phones and smartwatches must be turned off.
The exam fee is 66 euros per attempt. This covers both the written and oral parts — no additional payment for the oral exam.
You can retake the exam up to 4 times (maximum 5 total attempts). Each attempt costs 66 euros.
No. You can register for the exam without being enrolled in VWU courses. You only need a valid Bescheid (admission notice) from a Viennese university that requires the Ergänzungsprüfung.