IN SHORT Big data requires applied mathematics. Statistics and probabilities are essential for data analysis. Optimization is a key tool for processing data. Understanding algorithms such as Deep Learning is crucial. Data Scientists and Data Engineers must master the concepts of machine learning. Mathematics is at the heart of analytical tools to extract meaningful insights. … Read more
IN BRIEF Commutativity: The order of numbers does not affect the result, both for addition and multiplication. Associativity: The way of grouping numbers does not change the result, for addition and multiplication. Distributivity: Multiplication distributes over addition and subtraction, allowing for simplification of calculations. Neutral element: For addition, this element is 0, and for multiplication, … Read more
IN BRIEF Cosmological Model: Mathematical description of the history of the Universe. Friedmann Equations: Foundation of modern cosmological models. Cosmology: Study of the structures and evolution of the Universe. Quantum Physics: Basis of particle and matter theories. Hubble Constant: Measurement of the expansion of the Universe. Differential and Integral Calculus: Key mathematical tools in celestial … Read more
IN BRIEF Mathematical Optimization: Fundamental strategy for solving complex problems. Searching for solutions that maximize or minimize a specific function. Linear Programming: Essential tool for addressing optimization problems in various fields. Optimization Modeling: Approach to determine the best solution among several options. Zero-One Integer Programming: Optimization technique used in specific contexts. Mathematical Complexity and its … Read more
IN BRIEF Algorithm: a sequence of steps to transform input data into output data. Mathematics and computer science work in symbiosis. An algorithm is essential in computer programming. Structuring the steps to solve a problem. The principles of algorithmics include assertions and a clear objective. Algorithms are fundamental for numerical calculation and applications. Mastering algorithms … Read more
IN BRIEF Cognitive stimulation: Puzzles improve problem-solving abilities. Memory enhancement: Solving puzzles reinforces information retention. Critical thinking development: Challenges encourage deep analysis of situations. Cognitive flexibility: Puzzles help adapt thinking to new situations. Relaxation and satisfaction: Solving puzzles provides a sense of accomplishment. Cognitive preservation: Puzzles contribute to delaying symptoms of dementia. Mental engagement: Keeping … Read more
IN BRIEF Archimedes: Pioneer of mathematics and physics, known for his work on the number pi. Euclid: Founder of modern geometry, with his emblematic work, the Elements. Pythagoras: Known for the Pythagorean theorem, essential in geometry. Isaac Newton: Established the foundations of calculus and classical mechanics. Leonhard Euler: Major influence on mathematical analysis and graph … Read more
IN BRIEF Integrate online educational games to reinforce skills. Use analogies and creative stories to facilitate understanding. Engage in fun activities like cooking to apply mathematics. Offer story completion prompts to stimulate imagination. Adopt the Montessori method to foster autonomy and motivation. Mathematics homework is often perceived as an unavoidable chore for many students. However, … Read more
IN BRIEF Role of mathematics in optimizing production and reducing costs Impact of mathematics on GDP: 15% in several countries 3.3 million wage-earning jobs affected by mathematics in 2019 Societal change during the industrial revolution 4th industrial revolution focused on the development of mathematics Industrialization: transformation of production methods and definition of work Importance of … Read more
IN SHORT Misreading exercise statements Neglecting units of measurement Confusing basic operations Poor alignment of numbers during calculations Forgetting carries in addition Careless errors: reread to correct Lack of organization in work Mastering the rules of operation priority Mathematics, although a rigorous discipline, is not immune to common errors that can occur when solving problems. … Read more