Marion Lefevre 
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 charts to organize values. In the field of mathematics, understanding decimal numbers and their place … 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, rewritten in canonical form. Numerical resolution: approach for solutions by series. Variation method: development of particular solutions. Applications: usefulness in various industrial fields. … Read more
IN BRIEF Applied Mathematics : Essential foundation for robotics. Predictive Models : Used in the design of robotic movements. Algorithms : Designed using mathematics to guide robotic actions. Machine Learning : Integrated to enhance the intelligence of robots. Geometry : Fundamental for understanding space and movement. Trajectories : Mathematical modeling of movements. Educational Robots : … Read more
IN BRIEF Algebraic expression: a combination of numbers and letters without equality. Equation: an algebraic expression equated to a constant term or another expression. An equation includes an unknown to solve, whereas an expression does not. Example of an equation: a x + b = c. Algebra: the study of relationships among numbers, as opposed … Read more
IN BRIEF Applied mathematics to quantum mechanics Use of complex numbers to model wave-like phenomena Emission of electrons from 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
IN BRIEF Origin of the abacus: an ancient calculating tool used since 2000 B.C. Key inventions: William Schickard and his calculating machine in 1623 Blaise Pascal and the Pascaline in 1642 Mechanical machines by Charles Babbage in the 19th century Evolution of tools: From the abacus to the electronic calculator (ENIAC in 1945) Introduction of … Read more
IN BRIEF Data analysis for informed decisions. Statistics as decision-support tools. Impact of data on strategic choices. Optimization of resources through statistical methods. Simplification of decision-making despite the complexity of data. Growing use of business data for optimal decisions. Fundamental role of statistics in corporate strategy. In a world where information abounds, statistics present themselves … Read more
IN BRIEF Mathematical logic as the foundation of philosophical thought. Relationship between mathematics and philosophy through the centuries. Influence of modern philosophers on mathematics. The philosophy of mathematics and its foundations. Contributions from figures like Descartes and Pascal. Abstraction and generalization in reasoning. Kant’s approaches to the independence of mathematics. Mathematics, as a rigorous discipline, … Read more
IN BRIEF Set ℕ: Natural integers (0, 1, 2, …) Set ℤ: Relative integers (positive and negative) Set ℚ: Rational numbers (fractions) Set ℝ: Real numbers including irrationals Set ℝ⁺: Positive real numbers Set ℝ⁻: Negative real numbers Use of the number line to represent the sets Importance of properties and relationships between the sets … Read more
IN BRIEF Squares : A number raised to the power of 2. Cubes : A number raised to the power of 3. Square and cube numbers can be added. Examples of numbers: 1 and 64 are both squares and cubes. Calculating a square root or cube root is the inverse operation of raising a number. … Read more