Mathematics for Real Applications

The illustrations in this book are created by “Team Educohack”.

Mathematics for Real Applications bridges the gap between theoretical math and real-world scenarios, making complex concepts accessible to senior secondary students. Covering a wide range of topics, we present practical applications of geometry, mensuration, trigonometric functions, probability, statistics, quadratic equations, complex numbers, and three-dimensional geometry.

Our first chapter delves into Euclidean geometry, lines and angles, and their properties, followed by practical applications. We then explore mensuration, including various types of quadrilaterals, circles, and three-dimensional shapes.

In trigonometry, we cover identities, graphing, derivatives, inverses, and applications. The probability and statistics chapter teaches mathematical treatments, probability calculations, conditional and independent probabilities, tree diagrams, Bayes’ theorem, and data visualization.

Quadratic equations and complex numbers are covered comprehensively, focusing on symmetric functions, factorization, and solutions. Finally, we address three-dimensional geometry, including direction cosines, line equations in space, plane equations, and coplanarity.

This book is designed to enhance understanding and provide practical insights, ensuring a thorough grasp of mathematics in real-life contexts.