Engineering Mathematics-II: Assignment & Tutorial Approach-Fully Solved

Rakesh Dube | O P Chaudhary | Nimisha | Category: Mathematics

Book Details

ISBN: 9789384370299
YOP: 2015
Pages: 502

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This book is the outcome of author’s rich experience of teaching undergraduate and postgraduate students. It is unique in its style and pattern as each chapter has a basic theory followed by a good number of questions with their solutions. It is felt that such book is an intrinsic requirement of every faculty (teaching this course) and every student (studying this course).
Salient Features:
– Each topic is covered with theory and numerical.
– 33 Assignments & 573 solved questions are integral & most important part of this book.
– The book is result of decades of classroom experience.
– Students do not require text book & University papers separately, as it serves.
– All possible challenging University questions are presented along with their logical solutions.

Unit-1: Differential Equation
I. Linear Differential Equation with Constant Co-efficient
II. Homogeneous Linear Equation
III. Ordinary Simultaneous Differential Equation
IV. Linear Equations of Second Order
V. Applications of Ordinary Differential Equations
Unit-2: Series Solution & Special Functions
I. Power Series
II. Bessel’s Equation and Bessel’s Functions
III. Legendre’s Equation and Legendre’s Polynomials
Unit-3: Laplace Transform
I. Laplace Transform
II. Inverse Laplace Transform
III. Applications of Laplace Transform
Unit-4: Fourier Series and Partial Differential Equations
I. Fourier Series
II. Partial Differential Equations
Unit-5: Application of Partial Differential Equation
I. Classifications of Partial Differential Equations
II. Method Separation of Variables
III. One Dimensional Wave Equation
IV. Two Dimensional Wave Equation
V. One Dimensional Heat Equation
VI. Two Dimensional Heat Equation
VII. Two Dimensional Laplace’s Equation
VIII. Transmission Line Equations

This book is the outcome of author’s rich experience of teaching undergraduate and postgraduate students. It is unique in its style and pattern as each chapter has a basic theory followed by a good number of questions with their solutions. It is felt that such book is an intrinsic requirement of every faculty (teaching this course) and every student (studying this course).
Salient Features:
– Each topic is covered with theory and numerical.
– 33 Assignments & 573 solved questions are integral & most important part of this book.
– The book is result of decades of classroom experience.
– Students do not require text book & University papers separately, as it serves.
– All possible challenging University questions are presented along with their logical solutions.

Unit-1: Differential Equation
I. Linear Differential Equation with Constant Co-efficient
II. Homogeneous Linear Equation
III. Ordinary Simultaneous Differential Equation
IV. Linear Equations of Second Order
V. Applications of Ordinary Differential Equations
Unit-2: Series Solution & Special Functions
I. Power Series
II. Bessel’s Equation and Bessel’s Functions
III. Legendre’s Equation and Legendre’s Polynomials
Unit-3: Laplace Transform
I. Laplace Transform
II. Inverse Laplace Transform
III. Applications of Laplace Transform
Unit-4: Fourier Series and Partial Differential Equations
I. Fourier Series
II. Partial Differential Equations
Unit-5: Application of Partial Differential Equation
I. Classifications of Partial Differential Equations
II. Method Separation of Variables
III. One Dimensional Wave Equation
IV. Two Dimensional Wave Equation
V. One Dimensional Heat Equation
VI. Two Dimensional Heat Equation
VII. Two Dimensional Laplace’s Equation
VIII. Transmission Line Equations