This book covers all the titles related to algebra and calculus and their usage in real life for the senior secondary level. The topics that are covered within this book are a system of linear equations and matrices, probability and statistics, linear programming, limits derivatives and applications, integration, differential equations and mathematical induction.
The first chapter deals with matrices and determinants and teaches various aspects and operations of each of the two. Also, you may learn to solve real-life situations.
The second chapter focuses on probability and statisticsns. It deals with mathematical treatment, assignment of probabilities, calculation of the probabilities of events, conditional and independent events, tree diagrams, Bayes’ theorem, visual representation of data, frequency probability distribution and binomial trials, mean-variance and standard deviation.
The third chapter deals with linear programming with all their necessary sub-topics like linear inequalities, properties associated with them, graphing and practical problems.
The fourth chapter deals with limits, derivatives, continuity, differentiability and teaches various aspects and operations related to them. Also, you may learn to solve real-life situations.
The fifth chapter deals with integration. This gives a detailed explanation about indefinite integral, its applications, methods related to integration, integral by partial fraction, integration by parts, definite integral, fundamental theorem of calculus, properties of definite integral, its applications, area between two curves, applications in other fields.
The sixth chapter deals with differential equations, which include first and second-order differential equations, methods used to solve them, linear differential equations, partial differential equations, exact differential equations and solutions of some other types differential equations.
The seventh chapter deals with mathematical induction, which includes the principle of mathematical inductions and its applications.
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