Introduction To Engineering Mathematics Ii Mmtu Gbtu

This book has been thoroughly revised according to the New Syllabus of Uttar Pradesh Technical University (UPTU), Lucknow. [ For B.E. / B.Tech. / B.Arch. Students for second semester of all Engineering Colleges of Uttar Pradesh Technical University (UPTU). Lucknow ]

For B.E./B.Tech. / B.Arch. Students for First Semester of all Engineering Colleges of Maha Maya Technical University, Noida and Gautam Buddha Technical University, Lucknow

B.E./B.Tech. Students of Second Semester of MDU, Rohtak and Kurushetra University, Kurushetra.

Introduction to Engineering Mathematics Volume-II has been thoroughly revised according to the New Syllabi (2018 onwards) of Dr. A.P.J. Abdul Kalam Technical University (AKTU, Lucknow). The book contains 15 chapters divided among five modules - Ordinary Differential Equations of Higher Order, Multivariable Calculus-II, Sequence and Series, Complex Variable Differentiation and Complex Variable-Integration. It contains numerous solved examples from question papers of examinations recently held by different universities and engineering colleges so that the students may not find any difficulty while answering these problems in their final examination.

Introduction to Engineering Mathematics Volume-I has been thoroughly revised according to the New Syllabi (2018 onwards) of Dr. A.P.J. Abdul Kalam Technical University (AKTU, Lucknow). The book contains 19 chapters divided among five sections - Differential Calculus- I, Differential Calculus- II, Matrices, Multivariable calculus- I and Vector calculus. It contains good number of solved examples from question papers of examinations recently held by different universities and engineering colleges so that the students may not find any difficulty while answering these problems in their final examination.

The book “Introduction to Engineering Mathematics I” has been conceptualized specifically according to the New Syllabus (2022 onwards) of A. P. J. Abdul Kalam Technical University (APJAKTU), Lucknow. It covers important topics such as Inverse of a Matrix, Elementary Transformation, Linear Dependence and Independence of Vectors, Solution of System of Linear Equations, Characteristic Equation, Eigen Values and Eigen Vectors, Successive Differentiation (nth Order Derivatives), Curve Tracing, Euler’s Theorem for Homogeneous Functions, Jacobians, Beta, Gamma Functions and Properties, Vector Differentiation, Vector Integration, etc. for sound conceptual understanding of students. Latest Question papers have been solved and included in the book. Also, short questions have been added at the end of each chapter for better preparation of examinations.

The objective of this book is to develop the student’s ability to use mathematics with understanding to solve engineering problems. The topics included are ordinary differential equations, partial differential equations, multiple integrals and its applications and Laplace transform

Conceptualized specifically for Rajiv Gandhi Proudyogiki Vishwavidyalaya (RGPV), Bhopal, "Introduction to Engineering Mathematics - Volume I" covers important topics such as Mean Value Theorems, Maclaurin and Taylor Series, Partial Differentiation, Beta, Gamma Functions and Properties, Double Integrals, Area and Volume by Double integration, Triple Integration and Applications, Convergence of Sequence and Series, Fourier Series, Vector Spaces and Sub Spaces, Liner Transformations, Rank of Matrix, and Eigen Values and Eigen Vectors for sound conceptual understanding for students.