Introduction To Engineering Mathematics Volume I Apjaktu Lucknow

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.

"Introduction to Engineering Mathematics" series is compiled specifically for the faculty and students at all engineering colleges of Dr A.P.J. Abdul Kalam Technical University (AKTU), Lucknow, UP along with other engineering institutes which might follow the same course pattern. With a completely new syllabus, the subject is fully covered in a single textbook. Therefore for "Integral Transform and Discrete Maths" students and faculties need not refer to multiple texts anymore. Replete with well-placed examples to complement the theory, the book enables students to learn effortlessly of so-called difficult topics as well.

The book "Introduction to Engineering Mathematics II" 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 Linear Differential Equations of nth Order with Constant Coefficients, Second Order Linear Differential Equations with Variable Coefficients, Method of Variation of Parameters, Cauchy-Euler Equation, Applications of Differential Equations in Solving Engineering Problems, Laplace Transform and Properties, Sequence and Series, Tests for Convergence of Series, Fourier Series, Functions of Complex Variable, Harmonic Function & Milne's Thompson Method, Conformal Mapping, Taylor's and Laurent's Series, Residue Theorem and Applications 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.

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 IV 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 13 chapters divided among five modules - Partial Differential Equations, Applications of Partial Differential Equations, Statistical Techniques - I, Statistical Techniques - II and Statistical Techniques - III.

Introduction to Engineering Mathematics Volume-III is written for the B.E./B.Tech./B. Arch. students of third/fourth semester of Dr. A.P.J. Abdul Kalam Technical University (AKTU) in according to the new syllabus. The book is divided into twenty-five chapters covering all the important topics of the subject. It contains fairly a large 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.

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