IN BRIEF Differential calculus: study of derivatives to measure the change of 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: computational processes on a computer to model physical realities. Mathematical modeling: building 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 BRIEF Prime number: a natural integer that is divided only by 1 and itself. Examples of prime numbers: 2, 3, 5, 7, 11, 13. Importance in arithmetic: every number is uniquely decomposed into products of prime numbers. Cryptography: prime numbers ensure the security of online data. Historical developments, notably by Eratosthenes and his sieve. … Read more
IN BRIEF Interdisciplinarity: Facilitates links between disciplines. Statistical tools: Used in sociology and psychology. Education: Learning mathematics related to other subjects. Mathematical models: An essential element for scientific understanding. Geometry, numbers, and other sub-disciplines: Fundamental links. Scientific popularization: Making mathematical concepts accessible. Innovation: Promoted by the integration of mathematics in sciences. General culture: Necessity of … 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 … Read more
IN BRIEF Probabilities and games of chance: Introduction to the basic concepts. Calculating probabilities: Strategies to increase your chances of winning. The role of combinatorial calculation in assessing options. Examples of modeling related to well-known games. The importance of laws of chance: Failures and successes in gaming. Specific strategies for games like poker and lottery. … Read more
IN BRIEF Mathematical optimization: searching for the best solution among several alternatives. Proven techniques such as the lazy line to reduce the number of vertex evaluations. Importance of modeling to transform complex problems into linear analyses. Metaheuristic algorithms simplify the resolution of optimization problems. Practical applications in various fields, including supply chain and optimization under … Read more
IN BRIEF Definition of multiple integrals: integration of functions of several real variables. Types of integrals: double integrals and triple integrals. Applications: calculation of surfaces and volumes of irregular shapes, evaluation of the mass of objects with variable density. Use in mechanics: calculation of moments of inertia by analogy with double integrals. Techniques: importance of … Read more
IN BRIEF Use interactive games to make learning fun. Incorporate hands-on activities, such as cooking, to teach quantities. Include educational books that address mathematics in an accessible way. Utilize everyday objects for counting and measuring exercises. Create an engaging environment with appropriate tools, such as dice and cards. Creating a learning workshop for mathematics at … Read more