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 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 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
IN SHORT Modeling natural phenomena Prediction of environmental effects Optimization of energy resources: solar and wind Analysis of the impact of climate change Development of new models for ecosystems Use of carbon balance for sustainability Mathematics plays an essential role in understanding and solving environmental issues. Through predictive models and equations, it allows the analysis … Read more
IN BRIEF Use nature to teach mathematics Offer hands-on activities outdoors Contextualized learning environment Exploration of mathematical concepts through the environment Develop problem-solving skills Encourage imagination and oral expression Integration of geometry and modeling concepts Promote student engagement in their learning Active and playful learning in the outdoors Using nature as a learning resource for … Read more
IN BRIEF Universal language connecting various fields: physics, biology, computer science Enables precise communication without words Considered the most precise language to describe the Universe Ability to transcend cultural boundaries Use of formal symbols and structures Recognized by iconic figures such as Galileo Galilei Stable interpretation of concepts independent of words Mathematics are often referred … Read more