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.

Table of Contents

1: Problems: Characteristics of Functions

2: Solutions of Problems: Characteristics of Functions

3: Problems: Trigonometric Equations and Identities

4: Solutions of Problems: Trigonometric Equations and Identities

5: Problems: Limits and Continuities

6: Solutions of Problems: Limits and Continuities

7: Problems: Derivatives and Their Applications

8: Solutions of Problems: Derivatives and Their Applications

9: Problems: Definite and Indefinite Integrals

10: Solutions of Problems: Definite and Indefinite Integrals

About the Author

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.