# Process and Topics

## Procedure

- The entrance test is to be performed without a calculator and without a collection of formulas.
- Paper will be provided. Students only need a pencil.
- The completion time is 45 minutes.
- Seat assignment will take place on site.
- Please bring student ID and ID card and have them ready.

## Topics

**Vectors**

- Amount of a vector
- Vector addition and subtraction
- Multiplication of vector with scalar
- Scalar product and vector product
- Connecting vector of two points

**Systems of equations**

- Solving systems of equations with 2-3 unknowns

**Differential calculus**

- Know derivatives of simple functions (polynomials, sine, cosine, exponential function)
- Calculate derivatives and evaluate them at one point
- derivation rules (product rule, chain rule, etc.)
- Calculate local extrema

*Integral calculus*

- Calculate simple integrals
- Rules for sum of integrals and swapping of limits

*Functions*

- Calculation of the zero of a function
- Quadratic solution formula (p-q formula)
- Root laws
- Power laws
- Exponential function and logarithm
- Linear functions

**Geometry / Trigonometry**

- Definitions of sine, cosine and tangent in right triangles
- Theorem of rays
- Pythagorean theorem
- Angle sum in triangles
- Area of triangles
- Relationships of angles (step angles, etc.)