Mathematics-I Calculus and Linear Algebra (BSC-105) (For all branches of Engineering Except CSE)

Mathematics-I Calculus and Linear Algebra (BSC-105) (For all branches of Engineering Except CSE)

Authors : Bikas Chandra Bhui & Dipak Chatterjee

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About the Author

Bikas Chandra Bhui :-
He is Head of the Mathematics Department at Meghnad Saha Institute of Technology, a leading engineering college of Kolkata. Earlier he taught at West Bengal University of Technology. He did his masters from Jadavpur University and has published nearly a dozen research papers on Cosmology in national and international journals of repute. He has written a large number of books on mathematics which became students' favourite because of the ease with which they explained the concepts.


Dipak Chatterjee :-
He is a renowned educationist and social worker of West Bengal, having significant contributions in mathematics and spirituality. A versatile and prolific writer he has authored many research articles and books on these subject. He is a pivotal force in the mathematics departments of many engineering colleges like the Institute of Engineering & Management (IEM), Meghnad Saha Institute of Technology, and also in various research institutes.
 

About the Book

Mathematics-I for the paper BSC-103 of the latest AICTE syllabus has been written for the first semester engineering students of Indian universities. Paper BSC-103 is common to all streams of engineering except CS&E. Keeping in mind that the students are at the threshold of a completely new domain, the book has been planned with utmost care in the exposition of concepts, choice of illustrative examples, and also in sequencing of topics. The language is simple, yet accurate. A large number of worked-out problems have been included to familiarize the students with the techniques to solving them, and to instill confidence. 
Authors' long experience of teaching various grades of students has helped in laying proper emphasis on various techniques of solving difficult problems.
 

Key Features

• Short and accurate for full comprehension of the topics
• A large number of worked-out problems
• A large number of MCQs at the end of the book
• Written in accordance with the latest AICTE syllabus
• Written by the authors of proven expertise 
 

Table of Content

Module-I: Calculus
1. Curvature, Evolute and Involute, 2. Evaluation of Definite Integral, 3. Improper Integrals, 4. Applications of Definite Integral

Module-II: Calculus
5. Successive Differentiation, 6. Indeterminate Forms: L'Hospital's Rule, 7. Mean Value Theorems

Module-III: Matrices
8. Theory of Matrices, 9. Determinants, 10. Matrix-II

Module-IV: Sequence and Series
11. Convergence of Sequence and Series, 12. Fourier Series

Module-V: Multivariable Calculus
13. Functions of Several Variables, 14. Jacobians and Maxima-Minima of Functions, 15. Gradient, Divergence and Curl

• Multiple Choice Questions