Becoming a professional pilot demands rigor, method, and a robust understanding of the scientific principles governing flight.
Before commencing the 14 modules of CPL or ATPL theoretical training, it is crucial to master the fundamental principles of mathematics and physics as applied to aeronautics.
The Fundamental Concepts of Mathematics and Physics training, offered by Hexagone Aviation School, has been designed to enable aspiring pilot students to consolidate their knowledge autonomously and progressively.
Entirely online, it combines interactive courses, explanatory videos, thematic MCQs, and automated progress tracking, to ensure a comprehensive refresher before entering professional training.
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42 hours of online training
to progress at your own pace and consolidate your foundational knowledge before professional training.
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Flexible and self-paced learning
you choose your work pace, according to your availability and objectives.
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Interactive and multimedia resources
illustrated courses, explanatory videos, quizzes, and application exercises integrated into the platform.
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Automated pedagogical monitoring
real-time progress tracking and self-assessments to measure your achievements at each stage.
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Accessible anywhere, 24/7
eLearning platform continuously available, on computer or tablet, without time constraints.
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Training completion certificate
validating the achieved level and the acquisition of recommended prerequisites for entering CPL or ATPL training.
This eLearning program aims to provide aspiring pilot students with a solid scientific foundation before undertaking professional theoretical training. It emphasizes comprehension, logic, and the practical application of mathematical and physical principles, through a progressive approach tailored to each individual's pace.
- Review and consolidate the fundamental concepts of mathematics and physics necessary for understanding the ATPL(A) training modules.
- Understand the essential scientific principles related to flight, mechanics, atmospheric pressure, and the physical quantities used in aeronautics.
- Develop the ability to analyze, reason, and apply formulas within a practical piloting context.
- Acquire an autonomous study methodology through practical exercises, thematic MCQs, and progress evaluations.
- Facilitate the transition to professional training by ensuring a homogeneous and robust skill foundation.
Beyond theoretical knowledge, this training aims to strengthen the transversal competencies essential for the success of the aspiring professional pilot.
It prepares the student to operate within a demanding aeronautical environment, where scientific rigor, methodology, and precision are crucial assets.
- Enable the aspiring pilot student to more confidently enter CPL or ATPL training, thanks to a comprehensive scientific refresher.
- Develop the rigor, logic, and precision indispensable for success in aeronautical studies and regulatory examinations.
- Equip the student with the necessary tools to understand physical phenomena and calculations related to flight performance, navigation, and safety.
- Strengthen confidence and autonomy in technical problem-solving and in interpreting aeronautical documentation.
This training is intended for:
- Any individual wishing to enroll in professional pilot training (CPL/ATPL) and seeking to refresh their knowledge before commencing the program.
- Holders of a PPL (Private Pilot Licence) who wish to pursue professional training.
- Students or recent graduates who have not recently practiced mathematics, physics, or English.
- Candidates undergoing professional retraining who wish to validate their prior learning before committing to intensive airline pilot training.
This training is accessible to any individual motivated by an aviation career.
To effectively participate in this training, candidates must:
- Possess a computer, tablet, or iPad with a stable internet connection.
- Demonstrate genuine motivation to enroll in professional pilot training.
- Basic knowledge of the aviation world is an asset, but no prior piloting experience is required.
No entry test is conducted for this course, as it follows the placement test administered before entry into CPL or ATPL training.
This course is recommended for candidates whose results on the admission test reveal weaknesses in mathematics, physics, or English.
Multiple training sessions available throughout the year
Prior to any enrollment, an individual entry assessment is conducted to evaluate your prior learning (mathematics, physics, English) and to verify the alignment of your project with the program. This initial interaction enables us to tailor the support from the outset.
You will access our educational platform to follow modules in mathematics, physics, and English. You progress at your own pace, according to your availability, with MCQs, explanatory videos, and individualized support.
The training follows a clear and structured progression.
Each sequence begins with the guided review of theoretical concepts, presented in a simple and illustrated manner, before proceeding to practical application through concrete exercises directly inspired by aeronautical situations.
Tutorials and case studies allow for the application of knowledge to real flight situations: navigation calculations, force analysis, and comprehension of technical documents in English.
This approach promotes a practical and operational contextualization of acquired knowledge.
A final assessment concludes the training to measure the progress made by the learner and to validate the level of proficiency achieved in each learning domain.
Upon completion of the training, a certificate of completion is issued to each participant, confirming full participation and validation of acquired knowledge.
Fundamental Mathematical Concepts for Pilots
Module Objectives:
- Consolidate the essential mathematical foundations required for comprehending concepts related to aircraft performance, navigation, and flight planning.
- Master the operations and formulas employed in aeronautical calculations, including time, distance, speed, mass, fuel consumption, and proportionality.
- Develop the capacity for logical reasoning and the application of mathematical tools to practical flight scenarios.
- Comprehend graphical representation and the trigonometric relationships essential for managing flight trajectories and wind drift.
- Enhance speed and precision in both mental and instrumental calculations.
Module Content:
- Arithmetic and fundamental operations: addition, subtraction, multiplication, division, unit conversions, and order of operations.
- Fractions, decimals, and percentages: equivalences, conversions, and practical applications (e.g., fuel consumption, mass variations, or temperature fluctuations).
- Factors, powers, and roots: comprehension of exponents, square roots, and calculations associated with physical energies and forces.
- Equations and formulas: manipulation of simple algebraic expressions, variable isolation, and resolution of practical flight-related problems.
- Time, distance, and speed calculations: fundamental relationship V = D/T, unit conversions, and applications in flight planning.
- Pythagorean Theorem: application for calculating true distances, trajectories, and air navigation.
- Trigonometry: sine, cosine, and tangent applied to route, heading, and crosswind calculations.
- Graphs and visual representations: interpretation and analysis of performance curves and flight data.
Upon completion of this module, you will be proficient in autonomously and effectively utilizing mathematical tools, applying fundamental formulas to aeronautical performance, and rigorously performing calculations essential for navigation, planning, and flight operations.
Fundamental Principles of Physics for Pilots
Module Objectives:
- To understand the fundamental physical principles that govern flight and aircraft performance.
- To identify and interpret the physical quantities used in aviation: force, energy, pressure, temperature, speed, density, etc.
- To apply the laws of mechanics, thermodynamics, and aerodynamics to real-world flight situations.
- To develop a comprehensive understanding of aerodynamic phenomena: lift, drag, thrust, and in-flight equilibrium.
- To acquire the analytical and scientific reasoning skills necessary for professional pilot training.
Module Content:
Units and Measurements: fundamental quantities (SI), unit conversions, measurement precision, scientific notation, and their application to reading aeronautical instruments.
- Mechanics – Force and Motion: Newton's laws, acceleration, equilibrium of forces, and the effects of weight and thrust on an aircraft's trajectory.
- Energy and Work: relationship between energy, work, and power; potential, kinetic, and mechanical energy in the context of flight.
- Fluid Mechanics and Aerodynamics: pressure, density, lift, drag, and Bernoulli's principle; behavior of air around an airfoil.
- Electricity and Magnetism: concepts of voltage, current, resistance, and power; terrestrial magnetism and the magnetic compass in navigation.
- Wave and Propagation Phenomena: basic principles of sound and radio communication (introduction).
Upon completion of this module, you will be able to understand the physical laws that influence flight, to analyze aircraft performance and behavior based on scientific principles, and to apply this knowledge to navigation, safety, and flight management.
- Comprehend and precisely apply the fundamental principles of mechanics, trigonometry, and physics to interpret and utilize phenomena encountered in aeronautics.
- Independently solve practical problems using mathematical and physical data, by employing the logical tools and reasoning essential for aircraft performance.
- Identify, manipulate, and interpret physical quantities (forces, pressure, energy, density, temperature, speed, etc.) utilized in the domain of flight and air navigation.
- Rigorously apply calculation methods and mathematical formulas essential for understanding flight performance and parameters.
- Develop the scientific logic, precision, and work methodology required for successful completion of a professional pilot training curriculum, by adopting a structured and analytical approach.
- Interactive eLearning Courses
- Progressive Modules
- Practical Exercises and Thematic MCQs
- Detailed Educational Feedback
- Automated Progress Tracking
- eLearning Platform
- Illustrated Digital Courses
- Scenario Study, Practical Simulation
- Interactive Exercises and Case Studies
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Start anytime:
Begin your eLearning upon enrollment.
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Learn at your own pace:
Intensive or progressive, the choice is yours.
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Available 24/7:
eLearning platform accessible anywhere.
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Individual support:
A dedicated instructor will guide you throughout the program.
Assessment Methods and Procedures
Learning assessment is conducted throughout the program via interactive multiple-choice questions (MCQs), applied exercises, and progress tests at the end of each module.
These assessments measure the learner's skill development and verify their mastery of fundamental concepts prior to commencing CPL or ATPL training.
A final online assessment concludes the training, validating the achieved level and leading to the issuance of a Hexagone Aviation School certificate of completion.
Means of Assessing Program Outcomes
Each student benefits from individualized pedagogical support, comprising:
- subject-specific score monitoring,
- progress indicators,
- alerts for targeted pedagogical support when required.
Intermediate assessments are offered to ensure consistent skill development.
Examination procedures
This training does not lead to an official external examination.
A final internal online examination is organized by Hexagone Aviation School at the end of the program, to assess the student's overall level in the three covered areas: mathematics, physics, and English.
Successful completion of this examination validates the acquired knowledge and certifies that the trainee meets the recommended prerequisites for entry into CPL or ATPL training.
Training Certification and Course Completion Certificate
Upon completion of the training, each student receives a personalized certificate of completion, issued by Hexagone Aviation School.
This document specifies the nature and duration of the course, as well as the competencies acquired in mathematics, physics, and aeronautical English.
It certifies that the participant has achieved the required level to meet the entry prerequisites for CPL or ATPL training.
This certificate acknowledges the student's commitment and represents a recognized preparatory stage in the path towards professional pilot training.
RNCP Recognized and Compliant Training
Although this preparatory training is not registered with the RNCP, its content is fully compliant with the expected pedagogical and scientific requirements for entry into CPL or ATPL training.
It is based on European aviation qualification standards (Part-FCL / EASA) and represents a recognized preparatory step towards professionalization.
Career Prospects
This training does not directly lead to a professional qualification, but it effectively prepares candidates for integration into professional pilot curricula.
It enables candidates to strengthen their fundamental skills in order to succeed in CPL or ATPL entry tests and confidently progress towards their future aeronautical career.
Further Training Progression
Upon completion of this course, students can enroll in ATPL theoretical training or CPL, depending on their professional aspirations.
This preparation serves as an ideal transition between high school level and pilot training, by providing the essential scientific and linguistic foundations for successful completion of the curriculum.
Hexagone Aviation School supports each student in building a personalized career path, tailored to their aviation career objectives.
We had a great experience working with the Hexagone Aviation team, who were very responsive in making our training as enjoyable as possible!
An excellent school for obtaining your ATPL. Competent instructors, high-quality equipment, and a very pleasant atmosphere. I highly recommend it!
I chose Hexagone Aviation School for the flexibility of its eLearning, but I did not anticipate such a high level of support. The pedagogical team is available, supportive, and highly professional.
