An Applied Approach in Mathematics

This book covers all the titles related to the applied approach of studying and their usage in real life for the undergraduate level. The topics that are covered within this book are geometry, mensuration, trigonometric functions, probability and statistics, quadratic equations and complex numbers, three-dimensional geometry. The first chapter deals with geometry, which includes Euclid's geometry, lines, and angles, their properties, triangles, some properties related to it, and quadrilateral. The second chapter focuses on mensuration, which includes its types of quadrilaterals, circle, and three-dimensional mensuration.The third chapter deals with trigonometric functions with all its necessary identities, graphing, derivatives, inverse, and identities, applications, etc.The fourth chapter deals with probability and statistics and teaches various aspects of each of the two like mathematical treatment, assignment of probabilities, calculation of the probabilities of events, conditional and independent probabilities, tree diagrams, Bayes' theorem, visual representation of data, frequency, probability distribution, and binomial trials.The fifth chapter deals with quadratic equations and complex numbers. The sixth chapter deals with three-dimensional geometry which includes direction cosines and direction ratios of a line, equation of a line in space, finding the shortest distance between two lines, plane, determining the equation of a plane which passes through a given point and is perpendicular to some given vector, determining the equation of a plane which passes through three non-collinear points, equation of a line passing through the intersection of two planes, Coplanarity of two lines, a distance of a point from the plane.