Matura course • Mathematics • Extended level
The extended matura is engineering for the mind. You won't just pass it. You'll dominate this exam.
The complete 28-step ePiFii program: from algebra with a parameter to differential calculus. Premium intensity plus individual 1:1 feedback held to the highest standard.
Basic knowledge is the foundation. We'll build a tower on it.
You know the basics, but problems with a parameter stop you? Differential calculus feels abstract? Under Formula 2023 the CKE demands precision, logic and connecting chapters. Our course is 28 meetings (80 intensive minutes each) where we move fluently through the basics in order to teach you technical thinking, proof and optimisation. ePiFii is not school revision. It is a school of the exact sciences.
The ePiFii Premium program: from theory to the architecture of a solution.
Four pillars of extended-level knowledge, fully aligned with Formula 2023.
The power of algebra and polynomials
The binomial theorem, Bézout's theorem. The goal: mastering problems with a parameter using Viète's formulas and the logic of assumptions.
Differential calculus and limits
The key to top marks: limits of sequences and functions, derivatives, extrema. Applied to modelling and advanced optimisation problems (six-point open questions).
Geometry at engineering level
Advanced plane geometry (the laws of sines and cosines, quadrilaterals), trigonometry with inverse trigonometric functions. The goal: solid geometry of cross-sections, dihedral angles and optimisation of solids.
Analytic geometry, combinatorics and advanced probability
Vectors in the plane, the equation of a circle, distances between points. Conditional and total probability and Bayes' formula (the Bernoulli scheme).
The final polish. The ePiFii Finale — where theory meets exam discipline.
Meeting 28: the ePiFii mock matura
Extended level · 3 hours
A full simulation of the CKE exam. Our own paper with the highest-scoring tasks: proofs, optimisation, open questions. You learn to manage time, state domains and write under pressure.
Meeting 29: individual consultation
Premium 1:1 feedback
This is what sets us apart nationwide. A private meeting between the examiner and the examined. A detailed analysis of your assumptions in problems with a parameter and of how complete your mathematical proofs are — exactly what CKE examiners mark strictly. You don't just get a score. You get to know how to win the missing 10–15%.
100% aligned with CKE Formula 2023 (extended)
The program is built on the latest requirements and the traps that come with them.
Our own epifii.pl platform
Full access to your virtual notebook, Google Meet notes and homework.