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Mathematics-ll” is a Compulsory paper for the first year students of Diploma engineering courses (common to all branches). Syllabus of this book is strictly aligned to the model curriculum of AICTE. And academic content is amalgamated with the concept of outcome based education. Apart from diploma it is useful for all students who are interested in basic /elementary mathematics and competitive examinations. Book covers seven topics- Determinants, Matrices, Integral Calculus and it’s applications. Co-ordinate Geometry and it’s applications, vectors and it’s applications, Differential equations. Basic of MATLAB. Each topic is written in an easy and lucid manner with a holistic view. There has been deliberated attempt to keep the number of pages in the book minimum without compromising with the matter. Every chapter contains a set of exercises at the end of each unit to test the student’s comprehension. Some salient features of the book: l For direct recapitulation of main concepts, formulae and results a brief summary of each unit has been given. l Objective questions and subjective questions are given for practice of students after every unit. l Content of the book is aligned with the mapping of Course Outcomes, Programs Outcomes and uni Outcomes. l Apart from the theory explanation and solved examples book provides for mini projects, activities, fun facts, QR codes, case studies, video resources etc. l The text has been supplemented with notes, remarks, remember sections within grey boxes. l Student and teacher centric subject materials are included in the book in a balanced manner. l Real life applications are inserted to improve clarity of this topics. l Know more section has been introduced which constitutes of additional information related to the topic. l Check-out section has been introduced so as to active the curiosity part of the student by correlating all the topics studied in this book with MATLAB. l At the end of each unit. An excerpt related to eminent Indian Mathematicians is given so as to make . l Student have a glimpse of the rich Indian heritage, especially in the field of mathematics.
Calculus and Linear Algebra cover all the modules prescribed by AICTE model curriculum to all the 1st year CSE students studying in engineering institutions and universities of the country. It serves as both text book /or useful reference work. It contains 5 units which included calculus, Algebra and vector spaces along with their applications. This renowned and well respected title provides in one handy volume with the essential mathematical tools that help in understanding the subject and problem solving techniques with many real life engineering applications. As per trademark of AICTE. This book is in student’s friendly style, author has endeavored enormous efforts in providing numerous solved examples and exercise under each topic to facilitate better understanding of the concepts to the students. Majority of questions in this book have been designed to access the reader’s understanding of the subject professionals or those who are preparing for competitive examinations will also find this book very useful. This book will give the students a complete grasp of the mathematical skills that are needed by engineers all over the country. Some Salient Features of the Book: · In depth coverage of all related, essential and mentioned topics as per AICTE in simple presentation with clarity and accuracy. · Emphasis on the applications of concepts and theorems. · Core concepts are presented through a large number of solved graded model examples in an innovative and lucid manner. · A good number of relatively competitive problems are given at the end of each unit in the form of short questions, HOTS, assignments, MCQs and know more for student’s practices purpose. Practical /Projects/ Activity also given in each unit for enhancing the student’s capability, to increase the feeling of team work. · To clarify the subject, the text has been supplemented through Notes, Observations and Remarks; an attempt has been made to explain the topic through maximum use of geometries wherever possible. · Some standard problems with sufficient hints have been included in each exercise to gauge the student’s visual understanding and for grasp the theory. · Video links, interesting facts, uses of ICT also included after each topic in every unit for easy understanding of the readers. Also included the pictorial representations of many topics for fast and permanent grasping of the content.
Calculus, Multivariable Calculus and Linear Algebra covers all the Modules prescribed by AICTE. Model curriculum to all the 1st year students (except CSE) studying in engineering institutions and universities of the country. It serves as both text book and / or useful reference work. It contains 5 units which include calculus, matrices, sequences & series and multivariable calculus along with their applications. This renowned and well respected title provides in one handy volume with the essential mathematical tools that helps in understanding the subject and problem solving techniques with many real life engineering applications. As per trademark of AICTE, this book is in student friendly style, author has endeavored enormous efforts in providing numerous solved examples and exercise under each topic to facilitate better understanding of the concepts to the students. Majority of Questions in this book have been designed to success the reader understands of the subject. Professionals or those who are preparing for competitive examinations will also find this book very useful. This book will give the students a complete grasp of the mathematical skills that are needed by engineers all over the country. Some Salient Features of the Book: · In depth coverage of all related, essential and mentioned topics as per AICTE in simple presentation with clarity and accuracy. · Emphasis on the applications of concepts and theorems. · Core concepts are presented through a large number of solved graded model examples in an innovative and lucid manner. · A good number of relatively competitive problems are given at the end of each unit in the form of short questions, HOTS, assignments, MCQs and know more for student’s practices purpose. Practical /Projects/ Activity also given in each unit for enhancing the student’s capability, to increase the feeling of team work. · To clarify the subject, the text has been supplemented through Notes, Observations and Remarks; an attempt has been made to explain the topic through maximum use of geometries wherever possible. · Some standard problems with sufficient hints have been included in each exercise to gauge the student’s visual understanding and for grasp the theory. · Video links, interesting facts, uses of ICT also included after each topic in every unit for easy understanding of the readers. Also included the pictorial representations of many topics for fast and permanent grasping of the content.
This book is designed to meet the complete requirements of Engineering Mathematics course of undergraduate syllabus, The book consists of seven chapters viz. infinite Series, Matrices, Expansion of Functions, Asymptotes, Curvature, Partial Differenciation , Multiple Integrals, Each chapter is treated in treated in systematic,logical and lucid manner, All these chapters are independent units in themselves. The students can go through the book picking up any chapter at any given times, without referring to other chapters, Hints, where ever necessary and answers of the questions in the exercises are given at the end of each exercise, Most of the questions-solved as well as unsolved-have been picked up from the examination papers of different universities and professional examinations, There are fully worked out examples and graded exercises (with answers) aimed at preparing the student for examination as well as higher studies, The authors have illustrated various methods to solve particular problems.
This book is designed to build up a strong foundation for the new students entering in Engineering field. It is strictly as per the revised syllabus prescribed by AICTE model curriculum. It has been written to fulfil all the requirements of B.E/B.Tech second semester students (All Branches of Engineering) of Chhattisgarh Swami Vivekanand Technical University, Bhilai. The essential feature of this book is that apart from theoretical background, it provides sufficient number of solved examples with detailed steps in easy and simple language along with problems for practice. Suitable figures have also been incorporated to ensure an easy understanding of the concepts. Short and very short answer type questions are also included. We hope that this book will be of great use for which it has been designed
This book covers complete syllabus of Engineering Graphics and Design along with AUTOCAD catering requirements of B.Tech. in Engineering The book is in easy to understand, simple English. It provides step-by-step solutions to problems along with suitable example and proper drawings. Using AutoCAD and Solid Work. All chapter make learning easy with unique features such as Summary, Solved examples and Practice Problems. Chapters have been organised to present data in concise format with suitable tables, diagrams, drawings and illustration.
From an ex-colleague of mine who came first in his year at Physics in Cambridge University: "If the message is that western physics is wrong, then everybody will agree, because it is widely accepted that modern physics has not yet found the explanation for the most important phenomena in the universe, and that its major triumphs refer to experiments where the present theories are not tested to their limits. An idea mentioned in the book is that light moves instantaneously, and that it takes time for impressions to reach us."
This is a book of entertaining problems that can be solved through the use of algebra, problems with intriguing plots to excite the readers curiosity, amusing excursions into the history of mathematics, unexpected uses that algebra is put to in everyday affairs, and more. Algebra Can Be Fun has brought hundreds of thousands of youngsters into the fold of mathematics and its wonders. It is written in the form of lively sketches that discuss the multifarious (and exciting!) applications of algebra to the world about us. Here we encounter equations, logarithms, roots, progressions, the ancient and famous Diophantine analysis and much more. The examples are pictorial, vivid, often witty and bring out the essence of the matter at hand. There are numerous excursions into history and the history of algebra too. No one who has read this book will ever regard mathematics again in a dull light" Reviewers regard it as one of the finest examples of popular science writing.
Mathematics-I for the paper BSC-105 of the latest AICTE syllabus has been written for the first semester engineering students of Indian universities. Paper BSC-105 is exclusively for CS&E students. 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.