Calculus I

ISBN-13: 9783031450273 / Angielski / Twarda / 2023

Mehdi Rahmani-Andebili

Opis

This study guide is designed for students taking a Calculus I course. This new edition includes expanded examples, questions, and practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. New material covered in the second edition includes types of functions, inverse functions, combinations of functions, domain and range of functions, axis of symmetry of functions, trigonometric equations and identities, limits and continuity, derivatives and their applications, and definite and indefinite integrals. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve students’ problem-solving skills and foster a solid understanding of calculus, which will benefit them in all of their calculus-based courses.

Spis treści

Problems: Functions and Inverse Functions.- Solutions of Problems: Functions and Inverse Functions.- Trigonometric Equations and Identities.- Solutions of Problems: Trigonometric Equations and Identities.- Problems: Limit and Continuity.- Solutions to Problems: Limit and Continuity.- Problems: Derivatives and Their Applications.- Solutions of Problems: Derivatives and Applications of Derivatives.- Problems: Definite and Indefinite Integrals.- Solutions to Problems: Definite and Indefinite Integrals

O autorze

Dr. Mehdi Rahmani-Andebili is an Assistant Professor in the Electrical Engineering Department at Arkansas Tech University, AR, US. 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. (Ph.D.) degree in Physics and Astronomy from the University of Alabama in Huntsville in 2019. Moreover, he was a Postdoctoral Fellow at the Sharif University of Technology during 2016-2017. As a professor, he has taught many courses and labs, including Power System Analysis, Power Electronics, 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 over 200 single-author and first-author publications, including journal papers, conference papers, textbooks, books, and book chapters. He is an IEEE Senior Member and a permanent reviewer for many reputable international journals. His research areas include Smart Grid, Power System Operation and Planning, Integration of Renewables and Energy Storages into Power Systems, 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 a Calculus I course. This new edition includes expanded examples, questions, and practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. New material covered in the second edition includes types of functions, inverse functions, combinations of functions, domain and range of functions, axis of symmetry of functions, trigonometric equations and identities, limits and continuity, derivatives and their applications, and definite and indefinite integrals.

Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve students’ problem-solving skills and foster a solid understanding of calculus, which will benefit them in all of their calculus-based courses.

• Exercises cover a wide selection of basic and advanced questions and problems;
• Arranges problems by difficulty level, catering to both well-prepared and less-experienced students; 
• Provides detailed and instructor-recommended solutions and methods, along with clear explanations.