Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.

The presented book is written by Dr. Manish Rannjan (IAS), provides all the information about Jharkhand in objective questions format. The book is divided into three parts. Part-I compiles objective questions related to the state of Jharkhand, under which the History, Literature, Educational Institutions, Sports, Land Laws, Economic Development, Industrial Development, Plans, Policies, Forests, Wildlife, Art & Culture, Environment, Disaster Management, Personalities of Jharkhand, Economy, Census and Budget (2023-24) etc. Current affairs have also been included in a separate chapter for the convenience of the candidates. Part-II provides 115 practice sets in which candidates can continuously evaluate their knowledge by practicing them before the real exams. Part-III of the book provides previous years solved papers which were asked in various competitive examinations conducted since the formation of state. The book has a compilation of more than 7500+ objective questions which makes it special. The book is extremely useful for the candidates preparing for various competitive exams and wishing to fly the new carrier with high dreams.

Grade Level: 3-6 CCSS Level: 4-6 Making fractions make sense! This 23-lesson learning unit is packed with hundreds of sequential fraction activities featuring both computation and word problems. As the third book in a series – following Adding Fractions and Subtracting Fractions – these exercises are designed to build upon what students have already learned. From “writing reciprocals of fractions, whole numbers, and mixed numbers,” to “multiplying a proper fraction by a proper fraction,” and on to “using a banana bread recipe to multiply fractions,” the activities in this book progress from learning basic concepts to mastering an understanding of how to multiply fractions. A Post Test and Answer Key are included.

Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions.

Our NEET Foundation series is sharply focused for the NEET aspirants. Most of the students make a career choice in the middle school and, therefore, choose their stream informally in secondary and formally in senior secondary schooling, accordingly. If you have decided to make a career in the medical profession, you need not look any further! Adopt this series for Class 9 and 10 today.