The entrance exam for the École Supérieure Multinationale des Télécommunications (ESMT) is a mandatory step for students wishing to enter engineering and telecommunications programs. In 2024, the mathematics exam, taken from the Concours Commun EG@, stood out for its rigorous structure and academic requirements. This 1.5-hour exam, without calculators, aims to assess both candidates' fundamental knowledge and reasoning skills.
Structure and content of the test
The test consists of 30 multiple-choice questions (MCQs), divided into two parts:
– Part A: questions of direct application of the course (14 questions).
– Part B: questions requiring deeper thinking and analytical approaches (16 questions).
Each correct answer is worth 1 point, a no answer is worth 0 points, and an incorrect answer is worth 0.25 points. The final score is calculated out of 30 points.
The themes covered
The 2024 exam covers a wide range of mathematical concepts, from analytical foundations to advanced concepts in linear algebra and differential calculus:
– Analysis and functions: limits, continuity, differentiability, integration over an interval, differential equations (particular and general solutions).
– Sequences and series: convergence and discrete summations.
– Trigonometry and inequalities in ℝ.
– Linear and matrix algebra: vector spaces, linear applications, determinants, diagonalization.
Examples of difficulties encountered
Candidates must solve complex differential equations, calculate limited expansions, and manipulate matrices to determine kernels, images, and characteristic polynomials. Some questions require combining theoretical results with rapid computational techniques, while avoiding the common pitfalls associated with multiple-choice questions (penalty for incorrect answers).
Recommended preparation
To pass the test, candidates must:
– Master the fundamentals of analysis and algebra.
– Practice timed multiple choice questions to manage time and minimize damaging errors.
– Review the techniques for solving differential equations and the properties of matrices (diagonalization, characteristic polynomials).
– Regularly practice competition-type exercises to familiarize yourself with the structure and the level of requirements.
The mathematics exam for the ESMT entrance exam in 2024 perfectly illustrates the importance of methodical preparation and a solid foundation in analysis and algebra. With its demanding structure and varied questions, it presents a challenge for candidates, but also an opportunity to demonstrate their skills against the high standards of international engineering schools.
English 
Français 
Español 
Türkçe