Marion Lefevre 
IN BRIEF Differential calculus: study of derivatives to measure the change in a function. Integral calculus: understanding the concept of integral to determine areas under curves. For each function, it is possible to calculate derivatives and integrals using basic techniques. Geometric concepts such as areas, perimeters, and volumes are essential. The history of differential and … Read more
IN BRIEF Numerical simulations: computation processes on computers to model physical realities. Mathematical modeling: construction of models to represent complex systems. Mathematical analysis: evaluation and interpretation of simulation results. Practical applications: use in various fields, including pandemics and engineering. Technological evolution: computing transforms and improves the approach to applied mathematics. Numerical models: implementation of discretization … Read more
IN BRIEF Philosophy and mathematics: a complex connection. Conceptions of infinity throughout history. The Euclidean axioms and their limitations. The debate on the nature of infinity in the real world. Aristotle and the concept of potential infinity. Impact of Descartes‘ reflections on infinity. The early attempts to understand infinity by Zeno. Applications of infinity in … Read more
IN SHORT Definition: Study of queue management systems. Application areas: Use in various industrial sectors. Analytical models: Based on probability techniques. Objective: Optimize management and flow of customers. Queue systems: Analysis of behaviors and performances. Operations research: Integration of concepts into complex systems. Terminology: Kendall-Lee notation and other methods. The queueing theory is a field … Read more
IN BRIEF Optimization of physical and informational flows in the industry. Significant contribution to logistics and competitiveness. Application of applied mathematics for predictive models. Key role in addressing industrial problems. Use of artificial intelligence to enhance processes. Conceptual models to assist in decision-making. Issues and challenges in sectors such as automotive. Emergence of operations research … Read more
IN BRIEF Trigonometry: an essential tool for navigation and astronomy. Used to calculate distances between celestial bodies. Foundation of triangulation techniques in maritime and aerial navigation. Helps to predict movements of planets and satellites. Role in the design of astronomical instruments. Importance for studying trajectories in space. Useful for mapping and modern navigation. Practical applications … Read more
IN BRIEF Prime number: a natural number divisible only by 1 and itself. Examples of prime numbers: 2, 3, 5, 7, 11, 13. Importance in arithmetic: every number can be uniquely decomposed into products of prime numbers. Cryptography: prime numbers ensure the security of online data. Historical developments, notably by Eratosthenes and his sieve. Essential … Read more
IN BRIEF Multiples: product of a number and an integer. Example: 6 multiplied by 8 gives 48. Divisors: numbers that can divide another without a remainder. Relation: if a is a multiple of b, then b is a divisor of a. Prime numbers: only two divisors, 1 and itself. Examples of prime numbers: 2, 3, … Read more
IN BRIEF Probabilities and games of chance: Introduction to the basic concepts. Calculation of probabilities: Strategies to increase winning chances. The role of combinatorial calculation in evaluating options. Examples of modeling related to well-known games. Importance of laws of chance: Failures and successes in games. Specific strategies for games like poker and lottery. History of … Read more
IN BRIEF Problem solving: Mathematics helps to find effective solutions. Financial management: Budget evaluation, expense calculation, and managing savings. Decision making: Statistical calculations allow for informed decisions. Daily calculations: Estimating distances, calculating travel times, etc. Practical applications: Using math in cooking, DIY, and various hobbies. Understanding the world: Mathematics is an integral part of the … Read more