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
• 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.)