PRECIZE Calculus (MDC)

₹225.00

The present book is meant for those students who opt mathematics as a Multi- Disciplinary Course as per NEP 2020. It is the culmination of honest and sincere efforts on the part of the author to meet the requirements of the students who did not study mathematics at the Senior Secondary level.

The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner to meet the various needs of all types of learners. Special emphasis has been laid on fundamentals for better understanding of the subject. Each chapter begins with some definitions followed by theorems with complete proofs and a lot of solved problems so that the study leads to perfect clarity and understanding. A large number of notes and remarks have been added for a better understanding of the subject. Well-planned and exhaustive exercises have been given in each chapter to provide the students with an opportunity of exhaustive practice.

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Description

Trigonometry: Trigonometric ratios (functions), Trigonometric identities, Sign of trigonometric ratios, Graph of trigonometric functions, Trigonometric ratios of sum and difference of two angles, Transformation of product into sum or difference of trigonometric functions, Transformation of sum or difference into product of trigonometric functions (i.e. C – D formulae), Trigonometric ratios of multiple angles.

Limit: Limit of a Function at a Point, Concept of Infinity, Algebra of Limits, Evaluation of Limits of Algebraic Functions, Limit using standard.

Continuity: Continuity of a function at a point, Types of Discontinuities, Algebra of Continuous Functions, Examples of Continuous Functions.

Differentiation: Derivative of Some standard functions (excluding trigonometric functions), Product rule for differentiation, Quotient rule for differentiation, Chain Rule, Derivative of implicit functions, Increasing and decreasing functions.

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