Precalculus Practice Problems, Methods, and Solutions

The second edition of this study guide is written and designed for students taking a precalculus course. It includes new and expanded exercises with final answers that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. The author uses methods typically found in instructor-recommended textbooks, 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.

1. Problems: Real Number Systems, Exponents and Radicals, and Absolute Values and Inequalities.- 2. Solutions of Problems: Real Number Systems, Exponents and Radicals, and Absolute Values and Inequalities.- 3. Problems: Systems of Equations.- 4. Solutions of Problems: Systems of Equations.- 5. Problems: Quadratic Equations.- 6. Solutions of Problems: Quadratic Equations.- 7. Problems: Functions, Algebra of Functions, and Inverse Functions.- 8. Solutions of Problems: Functions, Algebra of Functions, and Inverse Functions.- 9. Problems: Factorization of Polynomials.- 10. Solutions of Problems: Factorization of Polynomials.- 11. Problems: Trigonometric and Inverse Trigonometric Functions.- 12. Solutions of Problems: Trigonometric and Inverse Trigonometric Functions.- 13. Problems: Arithmetic and Geometric Sequences.- 14. Solutions of Problems: Arithmetic and Geometric Sequences.

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.