Engineering Mathematics I: Matrices and Calculus

Description

Engineering Mathematics I: Matrices and Calculus is a comprehensive textbook designed for B.Tech. First Year, First Semester students of JNTU Hyderabad (R25) and is common to all branches of engineering.
This revised and updated edition provides a clear and systematic exposition of Matrices, Eigenvalues and Eigenvectors, Quadratic Forms, Single and Multivariable Calculus, Mean Value Theorems, Curve Tracing and Multiple Calculus, Partial Differentiation and Applications, Multivariable Integration. Each concept is explained with simplicity and rigor, supported by detailed examples, solved problems and graded exercises to strengthen understanding and application.

Key Features:

• Strict adherence to the latest JNTU Hyderabad syllabus (R25).
• Step-by-step explanations to make learning accessible to students of varied backgrounds.
• Previous GATE questions and university examination problems included chapter-wise for practice and preparation.
• Coverage of both theoretical foundations and practical applications, helping students build confidence in problem-solving.
• Focus on geometrical interpretation and real-life applications of calculus and matrices.

Authored by distinguished professors and academicians with decades of teaching experience, the book blends academic rigor with student-friendly presentation. It is not just a textbook but also a reliable guide for examinations and future competitive tests.
Whether for classroom study, self-learning, or competitive preparation, this book equips engineering students with the mathematical tools essential for advancing in their professional courses.

 

CONTENTS

Unit I: Matrices

1.Matrices

Unit II: Eigen Values and Eigen Vectors

2. Eigen Values & Eigen Vectors

3. Quadratic Forms

Unit III: Single Variable Calculus

4. Mean Value Theorems

5. Curve Tracing

Unit IV: Multivariable Calculus (Partial Differentiation and Applications)

6. Partial Differentiation and Applications

Unit V: Multivariable Calculus (Integration)

7. Multiple Integrals

Primary Market: This book has been written strictly as per the latest syllabus (R-25) prescribed by Jawaharlal Nehru Technological University and Colleges, Hyderabad, for all branches of B.Tech. First Year students.