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**ISBN:**
9789395654210

**Bind:**
Paperback

**Year: **
2023

**Pages:**
256

**Size:**
6 x 9 Inch

**Publisher:**
Viva Books

**Sales Territory:**
Worldwide

**Description:**

The book begins with the fundamental terms needed to understand integral calculus and differential equations. To help students comprehend integration and its implications in their curriculum effectively, every attempt has been made to include the GeoGebra tool. Students can perform well in mathematics after they are comfortable using GeoGebra. The main idea of the book is that calculus is a subject that requires thought rather than memorization. The examples with worked-out solutions demonstrate how to do this. For readers’ ease of application, some equations have been repeated across the chapters. Both integration techniques and applications are covered in the book. The formation of differential equations is described next and this is followed by solutions to many varieties of differential equations. The orthogonal trajectories are explained in the final chapter. Numerous techniques have been included so that students can test out various techniques during exams to ensure the accuracy of the calculations or solutions. The book differs greatly from the many calculus textbooks available since the information is kept as basic as possible. The book is intended for graduate students and researchers enrolled in engineering and mathematics courses.

**Target Audience:**

The book is intended for graduate students and researchers enrolled in engineering and mathematics courses.

**Contents:**

*Preface*

*List of Figures*

*List of Tables*

*Notations and Symbols*

*GeoGebra*

*History and Motivation*

*Biographies*

**Chapter 1. Integration **• Integration • Estimating with Finite Sums • Difference Between Displacement and Distance Travelled • Riemann Sums

**Chapter 2. Methods of Integration **• Integration by Substitution • Integration by Partial Fractions • Integration by Parts

**Chapter 3. Applications of Integration** • Area Under a Curve • Area between curves • Volume of a Solid • Solids of revolution • Solved examples

**Chapter 4. Formation of Differential Equations and Their Solutions **• Differential Equations • Formation of a Differential Equation • Differential Equations of First Order and First Degree • Solution, Slope Fields • Variable Separable Equations

**Chapter 5. Solutions of Linear Differential Equations **• Linear Differential Equations • Picard’s Theorem • Bernoulli’s Differential Equations • Applications

**Chapter 6. Solutions of Exact Differential Equations **• Homogeneous Differential Equations • Exact Differential Equations • Euler’s Method

**Chapter 7. Orthogonal Trajectories of Curves **• Orthogonal Trajectories • Cartesian Coordinates • Polar Coordinates

*Answers*

*Index*

**About the Author:**

**Sreekumar K.G.** is a postdoctoral fellow at the mathematics department of the University of Kerala. He has over 22 years of teaching experience, both in India and abroad. He had been employed as an assistant professor in the mathematics section of the information technology department at the University of Technology and Applied Sciences in Nizwa, Sultanate of Oman. He earned his B.Sc., M.Sc., M.Phil., and Ph.D from the University of Kerala in Thiruvananthapuram, India. In a variety of institutions, he has taught calculus, discrete mathematics, engineering mathematics, and business mathematics. In addition to more than 35 worksheets on GeoGebra Tube, he has published numerous research papers in pretigious journals. He has visited numerous universities and participated in a number of international conferences both in India and abroad.

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