Engineering Mathematics I: For RGPV
Engineering Mathematics I is designed as per the specific requirements of the first and second semester paper offered in the BE/BTech syllabus of Rajiv Gandhi Proudyogiki Vishwavidyalaya (RGPV). Through a balanced mix of theory and solved problems, this book focuses on problem-solving techniques and engineering applications to ensure that students learn the mathematical skills needed for engineers.
Table of Content
- Preface
- Roadmap to the Syllabus
- Successive Differentiation and Expansion of Functions
- Partial Differentitation
- Extreme Values
- Curvature
- Definite Integral as Limit of Sum
- Limit of the Sum of a Finite Series 7 Beta and Gamma Functions
- Multiple Integrals
- Differential Equations of First Order and First Degree
- Equations of First Order and Higher Degree
- Higher Order Linear Differential Equations
- Differential Equations with Variable Coefficients
- Simultaneous Linear Differential Equations with Constant Coefficients
- Rank of a Matrix
- Solution of System of Linear Equations
- Eigen-values and Eigen-vectors
- Logic
- Boolean Algebra
- Elements of Fuzzy Logic
- Graphs
- University Question Papers and Solutions
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Salient Features
- A roadmap gives the location of each topic of the syllabus within the book
- Includes exercises—with hints and solutions—at the end of each chapter
- Four university solved question papers appended at the end of the book
- Important symbols and formulae have been collected at the beginning of the book for ready reference
- More than 840 solved problems and 350 practice exercises
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