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Calculus [Part– I: Senior Secondary Level] (Series - 5): Complete Mathematics Guide for RPSC School Lecturer Competitive Exams
Mathematics Blueprint for School Lecturer Competitive Exams – Calculus (Part Senior Secondary Level) (Series - 5)Mathematics strengthens logical reasoning, analytical thinking, and problem-solving skills, making it essential for academic excellence and competitive success. This book, Mathematics Blueprint for School Lecturer Competitive Exams – Calculus (Part Senior Secondary Level) (Series - 5), is part of a 19-book series designed for aspiring lecturers and competitive exam candidates.
This volume provides a structured, exam-oriented approach to mastering Calculus (Part Senior Secondary Level) through a clear, step-by-step methodology. Key topics covered
Limits, continuity, and differentiabilityDifferentiation of sums, differences, products, and quotients of functionsDerivatives of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functionsHigher-order derivatives (second and third order)Mean Value Theorems – Rolle’s Theorem and Lagrange’s TheoremApplications of derivatives, including rate of change, monotonicity, maxima and minima, tangents, and normalsIntegration as an anti-derivative, including substitution, partial fractions, and trigonometric identitiesDefinite integrals and their propertiesApplications of definite integrals, such as calculating areas under curves (lines, circles, parabolas, ellipses) and the area between curvesKey Features✅ Comprehensive 19-Book Series – Covers the entire syllabus systematically
✅ Focused Preparation – Clear definitions, theorems, and proofs for better understanding
✅ Practice-Oriented – Includes solved examples, multiple-choice questions, and exam-focused problems
✅ Graphical & Numerical Aids – Stepwise solutions with illustrations for better conceptual clarity
✅ Real-Life Applications – Demonstrates practical uses of Calculus in science, engineering, and technology
This book builds a strong conceptual foundation and enhances problem-solving skills, making it ideal for school lecturers, competitive exam aspirants, and students seeking in-depth knowledge of Calculus (Part Senior Secondary Level) (Series - 5).
Your feedback and suggestions are always welcome!
This volume provides a structured, exam-oriented approach to mastering Calculus (Part Senior Secondary Level) through a clear, step-by-step methodology. Key topics covered
Limits, continuity, and differentiabilityDifferentiation of sums, differences, products, and quotients of functionsDerivatives of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functionsHigher-order derivatives (second and third order)Mean Value Theorems – Rolle’s Theorem and Lagrange’s TheoremApplications of derivatives, including rate of change, monotonicity, maxima and minima, tangents, and normalsIntegration as an anti-derivative, including substitution, partial fractions, and trigonometric identitiesDefinite integrals and their propertiesApplications of definite integrals, such as calculating areas under curves (lines, circles, parabolas, ellipses) and the area between curvesKey Features✅ Comprehensive 19-Book Series – Covers the entire syllabus systematically
✅ Focused Preparation – Clear definitions, theorems, and proofs for better understanding
✅ Practice-Oriented – Includes solved examples, multiple-choice questions, and exam-focused problems
✅ Graphical & Numerical Aids – Stepwise solutions with illustrations for better conceptual clarity
✅ Real-Life Applications – Demonstrates practical uses of Calculus in science, engineering, and technology
This book builds a strong conceptual foundation and enhances problem-solving skills, making it ideal for school lecturers, competitive exam aspirants, and students seeking in-depth knowledge of Calculus (Part Senior Secondary Level) (Series - 5).
Your feedback and suggestions are always welcome!
Kindle Edition
Published March 18, 2025
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