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

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

Book Details

ISBN: 9789384370268
YOP: 2016
Pages: 694

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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.
– 30 Assignments & 861 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 both.
– All possible challenging University questions are presented along with their logical solutions.

Unit-1: Differential Calculus-I
I. Successive Differentiation and Leibnitz’s Theorem
II. Partial Differentiation
III. Curve Tracing
Unit-2: Differential Calculus-II
I. Expansion of Functions
II. Jacobian
III. Errors and Approximations
IV. Maxima and Minima, Lagrange’s Multipliers
Unit-3: Linear Algebra
I. Matrices
II. Vector Space
Unit-4: Multiple Integrals
I. Multiple Integrals
II. Gamma and Beta Functions
III. Applications of Multiple Integrals
Unit-5: Vector Calculus
I. Differential Operators: Gradient, Divergence and Gurl
II. Line, Surface and Volume Integrals
III. Green’s Stokes’ and Gauss’ Divergence Theorems

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.
– 30 Assignments & 861 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 both.
– All possible challenging University questions are presented along with their logical solutions.

Unit-1: Differential Calculus-I
I. Successive Differentiation and Leibnitz’s Theorem
II. Partial Differentiation
III. Curve Tracing
Unit-2: Differential Calculus-II
I. Expansion of Functions
II. Jacobian
III. Errors and Approximations
IV. Maxima and Minima, Lagrange’s Multipliers
Unit-3: Linear Algebra
I. Matrices
II. Vector Space
Unit-4: Multiple Integrals
I. Multiple Integrals
II. Gamma and Beta Functions
III. Applications of Multiple Integrals
Unit-5: Vector Calculus
I. Differential Operators: Gradient, Divergence and Gurl
II. Line, Surface and Volume Integrals
III. Green’s Stokes’ and Gauss’ Divergence Theorems