Differential Equations: Practice Problems, Methods, and Solutions

ISBN-13: 9783031079832 / Angielski / Twarda / 2022 / 105 str.

Mehdi Rahmani-Andebili

Opis

This study guide is designed for students taking courses in differential equations. The textbook includes examples, questions, and exercises that will help engineering students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve student's problem-solving skills and basic and advanced understanding of the topics covered in electric circuit analysis courses.

Recenzje

"Both problems and solutions are presented very clearly. The large format of the book, together with its generous spacing, means that each page has a good deal of text with plenty of additional room for notes. ... this book is more likely to be of interest for courses directed at engineering students." (Bill Satzer, MAA Reviews, October 30, 2022)

Spis treści

1) Problems: First-Order Differential Equations

2) Solutions of Problems: First-Order Differential Equations

3) Problems: Second-Order Differential Equations

4) Solutions of Problems: Second-Order Differential Equations

5) Problems: Series and their Applications in Solving Differential Equations

6) Solutions of Problems: Series and their Applications in Solving Differential Equations

7) Problems: Laplace Transform and its Applications in Solving Differential Equations

8) Solutions of Problems: Laplace Transform and its Applications in Solving Differential Equations

O autorze

Mehdi Rahmani-Andebili is an Assistant Professor in the Department of Engineering and Physics at the University of Central Oklahoma, OK, USA. Before that, he was also an Assistant Professor in the Electrical Engineering Department at Montana Technological University, MT, USA, and the Engineering Technology Department at State University of New York, Buffalo State, NY, USA, during 2019-2022. He received his first M.Sc. and Ph.D. degrees in Electrical Engineering (Power System) from Tarbiat Modares University and Clemson University in 2011 and 2016, respectively, and his second M.Sc. degree in Physics and Astronomy from the University of Alabama in Huntsville in 2019. Moreover, he was a Postdoctoral Fellow at Sharif University of Technology during 2016-2017. As a professor, he has taught many courses and labs, including Power System Analysis, DC and AC Electric Machines, Feedback Control Systems Analysis and Design, Renewable Distributed Generation and Storage, Industrial Electronics, Analog Electronics, Electrical Circuits and Devices, AC Electrical Circuits Analysis, DC Electrical Circuits Analysis, Essentials of Electrical Engineering Technology, and Algebra and Calculus-Based Physics. Dr. Rahmani-Andebili has more than 200 single-author and first-author publications, including journal papers, conference papers, textbooks, books, and book chapters. He is an IEEE Senior Member and the permanent reviewer of many credible journals. His research areas include Smart Grid, Power System Operation and Planning, Integration of Renewables and Energy Storages into Power System, Energy Scheduling and Demand-Side Management, Plug-in Electric Vehicles, Distributed Generation, and Advanced Optimization Techniques in Power System Studies.

Blurb

This study guide is designed for students taking courses in differential equations. The textbook includes examples, questions, and exercises that will help engineering students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve student’s problem-solving skills and basic and advanced understanding of the topics covered in electric circuit analysis courses. 

• Exercises cover a wide selection of basic and advanced questions and problems
• Categorizes and orders the problems based on difficulty level, hence suitable for both knowledgeable and under-prepared students
• Provides detailed and instructor-recommended solutions and methods, along with clear explanations
• Can be used along with the core textbooks in differential equations