"Calculus Mathematics (Major & Minor)" by Dr. Deepjyoti Kalita is a comprehensive textbook meticulously designed to meet the requirements of the 2nd Semester FYUGP NEP 2020 syllabus for Undergraduate Mathematics Major and Minor courses. Published by Mahaveer Publications, this book is specially tailored for students of Gauhati University and other Indian universities implementing the NEP-based Four-Year Undergraduate Programme (FYUGP).

The book offers a balanced and rigorous approach to fundamental concepts in calculus, aiming to build both conceptual clarity and problem-solving ability among students. It covers a wide range of essential topics that form the backbone of early university-level mathematics, such as:

• Limits and Continuity

• Differentiation and its Applications

• Mean Value Theorems

• Integration Techniques

• Definite Integrals and Area

• Applications of Calculus in Physical Sciences and Geometry

Written in a lucid and student-friendly language, the book includes illustrative examples, solved problems, and graded exercises for practice. Emphasis is laid on conceptual understanding, logical reasoning, and step-by-step derivations, making it equally useful for both Major and Minor track students of Mathematics.

The structure of the content aligns strictly with the FYUGP NEP guidelines, ensuring that learners develop a strong foundation for advanced studies in mathematics and related disciplines.Core Areas:

• Limits and Continuity (Chapter 1)
• Derivatives and Applications (Chapter 2)
• Integration and Applications (Chapter 3)
• Functions of Several Variables (Chapter 4)

Key Topics Include:

• Partial derivatives and homogeneous functions
• Euler's theorem and generalizations
• Taylor series and Maclaurin expansions
• Reduction formulas for trigonometric integrals
• Level curves and surfaces
• Limits at infinity and continuity concepts

This looks like an advanced calculus or multivariable calculus textbook with both theoretical foundations and practical applications.

What specific content would you like me to help you create based on this material? I could help with:

• Study guides for specific chapters
• Practice problem sets
• Concept summaries
• Interactive learning tools
• Reference materials