This study guide is designed for students taking courses in precalculus. The textbook includes practice problems that will help 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 students problem-solving skills and basic understanding of the topics covered in their pre-calculus and calculus 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 core precalculus textbooks.
Chapter
1. Problems: Real Number Systems, Exponents and Radicals, and
Absolute Valuesand Inequalities.
Chapter
2. Solutions of Problems: Real
Number Systems, Exponents and Radicals, and Absolute Valuesand Inequalities.-
Chapter
3. Problems: Systems of Equations.- Chapter 4: Solutions of Problems:
Systems of Equations.
Chapter
5. Problems: Quadratic Equations.
Chapter
6.
Solutions of Problems: Quadratic Equations.
Chapter
7. Problems: Functions,
Algebra of Functions, and Inverse Functions.
Chapter
8. Solutions of
Problems: Functions, Algebra of Functions, and Inverse Functions.
Chapter
9.
Problems: Factorization of Polynomials.
Chapter
10. Solutions of Problems:
Factorization of Polynomials.
Chapter
11. Problems: Trigonometric and
Inverse Trigonometric Functions.
Chapter
12. Solutions of Problems:
Trigonometric and Inverse Trigonometric Functions.
Chapter
13. Problems:
Arithmetic and Geometric Sequences and Series.
Chapter
14. Solutions of
Problems: Arithmetic and Geometric Sequences and Series.
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, IndustrialElectronics, 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.
