This is a textbook for first-year engineering students based on the regulation 2023 of Mepco Schlenk Engineering College (Autonomous), Sivakasi. To achieve the goal, this book is supported with a variety of solved examples with reference to engineering applications. This book is divided into two parts, where part one delves into the fundamental and theoretical concepts of matrices, functions of several variables, multiple integrals, and infinite series. Part two deals with differential equations, vector calculus, calculus of complex functions, Laplace and Fourier transforms and importance of statistical methods in engineering.
- Step-by-step solved problems and detailed illustrations.
- Helps readers to learn mathematics more effectively.
- Covers syllabus required for GATE and competitive examinations.
Part I
Unit 1 Matrices and Linear Systems
Unit 2 Reduction of Matrices
Unit 3 Functions of Several Variables
Unit 4 Multiple Integrals
Unit 5 Infinite Series
Part II
Unit 6 Differential Equations
Unit 7 Vector Calculus
Unit 8 Calculus of Complex Functions
Unit 9 Laplace and Fourier Transforms
Unit 10 Statistics
R. Ratha Jeyalakshmi, Professor & Head, Department of Mathematics, Mepco Schlenk Engineering College
(Auton.), Sivakasi, Tamil Nadu. She has been teaching for the past 25 years and has also provide supporting roles as a reviewer, resource person, editorial board, and BoS member.
A. Meena Kumari, Assistant Professor (Sl Gr), Department of Mathematics, Mepco Schlenk Engineering College (Auton.), Sivakasi. She has been teaching Engineering Mathematics for the past 14 years. She has been an organizing member for numerous programmes at various levels for the faculty, funded by the National Centre for Mathematics.
J. Deepalakshmi, Associate Professor, Department of Mathematics, Mepco Schlenk Engineering College (Auton.), Sivakasi. She has been teaching Engineering Mathematics for the past 20 years. Her area of specialization is graph theory
S. Vetriselvi, Assistant Professor (Sr Gr), Department of Mathematics, Mepco Schlenk Engineering College (Auton.), Sivakasi. She has been teaching Engineering Mathematics for the past 28 years. Her area of specialization is inventory models.
R. Chandra Guru Sekar, Assistant Professor (Sr Gr), Department of Mathematics, Mepco Schlenk Engineering College (Auton.), Sivakasi. His area of expertise is numerical methods and differential equations.
