IN BRIEF Geometric transformations : Mechanisms for modifying shapes in the plane. Main types : Translation, Rotation, Reflection, Dilation. Bijectivity : Unique association between original points and image points. Conservations : Lengths, angles, areas, and alignments preserved during transformations. Varied applications : Used in various fields such as physics and computer science. Pedagogical approach : … Read more
IN BRIEF Ancient Mathematics : From Antiquity to the Present. Babylonian Contributions : Advanced methods for commerce. Egyptians : Use of math for measuring monuments. Mesopotamia : Innovative calculation approaches. Arab-Muslim Civilizations : Hubs of mathematical knowledge in the Middle Ages. Thales of Miletus : Invention of geometry and the beginning of Greek mathematics. African … Read more
IN BRIEF Probability: a measure of the chance that an event will occur (value between 0 and 1). Statistics: analysis of qualitative and quantitative data. Essential concepts: mean, median, mode. Calculation of probability: favorable events divided by the total number of events. Random variables and probability laws: fundamental notions. Difference between probabilities and statistics: use … Read more
IN BRIEF Read carefully the statement to fully understand the problem. Rephrase the problem to grasp its essence. Develop a strategy to determine the appropriate method. Put into practice the chosen strategy and carry out the necessary calculations. Check that the solution found is consistent and relevant. Solving simple mathematical problems is an essential skill, … Read more
IN BRIEF Four basic operations: addition, subtraction, multiplication, division Order of operations: PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) Multiplication and Division are inverses of addition and subtraction Importance of parentheses in the order of calculations Practice exercises available to master operations Calculation tables to learn for quick mastery The foundations of mathematics … Read more
IN BRIEF Definition of place value in decimal numbers. Difference between whole numbers and decimal numbers. Importance of digits after the decimal point (tenths, hundredths, etc.). Concept of truncation and approximate value. Writing decimal numbers in expanded form. Place value tables to organize the values. In mathematics, understanding decimal numbers and their place value is … Read more
IN BRIEF Differential equations: fundamental in applied mathematics. Homogeneous solutions: functions of the form x ↦ λe−A(x). Cauchy problem: method of variation of the constant. Linear equations: of order 1 and 2, written in canonical form. Numerical resolution: approach to solutions by series. Variation method: development of particular solutions. Applications: utility in various industrial fields. … Read more
IN BRIEF Applied mathematics: An essential foundation for robotics. Predictive models: Used in designing robot movements. Algorithms: Designed using mathematics to guide robotic actions. Machine Learning: Integrated to improve robot intelligence. Geometry: Fundamental for understanding space and movement. Trajectories: Mathematical modeling of movements. Educational robots: Used to make mathematics more accessible to students. Interdisciplinarity: The … Read more
IN BRIEF Algebraic expression: combination of numbers and letters without equality. Equation: an algebraic expression set equal to a constant term or another expression. An equation includes an unknown to solve for, while an expression does not. Example of an equation: a x + b = c. Algebra: study of relationships between numbers, unlike arithmetic … Read more
IN BRIEF Applied mathematics to quantum mechanics Use of complex numbers to model wave-like phenomena Emission of electrons by metallic materials under light radiation Applications of group theory to describe the symmetries of physical systems Solutions described by periodic vibration modes Impact of mathematics on advances in quantum physics Mathematics plays a fundamental role in … Read more