Precalculus: The Gateway to Advanced Mathematics

About the Book

This Precalculus Work-Text provides a structured and comprehensive preparation for advanced mathematics. The eight chapters progress from foundational concepts to more advanced topics: real numbers; relations and functions; algebra and function transformations; polynomial and rational functions; exponential and logarithmic functions; trigonometric functions and identities; and conic sections.
Each chapter presents essential definitions, key results, and illustrative examples designed to promote clear understanding and analytical proficiency. By integrating conceptual explanations with practical applications, the text offers a coherent framework that equips students with the skills necessary for successful transition to higher-level mathematical study.

About the Author

Dr. Gary Q. Dacanay received his Doctor in Mathematics Education degree at Saint Paul University Philippines in 2010. He also completed in the same university the degrees Master of Science in Teaching Mathematics in 2006, Bachelor of Science in Electronics and Communication Engineering in 2005, and Bachelor of Science in Mathematics degrees in1989. He received his Master of Science in Teaching Physics at Cagayan State University Tuguegarao City Philippines in 2006. His research interest includes Design and Construction of Instructional Materials in Mathematics and Physics.
Dr. Dhananjay Yadav received his Ph.D. degree from Department of Mathematics, Indian Institute of Technology (IIT) Roorkee, India in 2013 and post-graduation (M.Sc.) in Mathematics from DDU University Gorakhpur, India in 2007. Currently, he is working as an Associate Professor in Department of Mathematics at University of Nizwa, Oman. Prior to his appointment to University of Nizwa, Oman, he had worked as Principal Research Scientist at Athabasca University, Canada, Yonsei University, South Korea and Jeju National University, South Korea. He is a leading expert in CO2 capture, storage and oil recovery, Computational sustainability and environmental analytics, Fluid mechanics, Numerical analysis, Hydrodynamic and Hydromagnetic stability, Nanofluids and Fluid flow in porous media. He has published more than 160 research articles (high impact factor) in various reputed international journals. He is also listed in the top 2% influential researchers in the World prepared by Stanford University based on Scopus data.
Dr. Abdul Adheem Mohamad received his Ph.D. in Mathematics from the University of Auckland in 1999 under the supervision of Professor David Gauld & Dr Dave McIntyre, M.Sc in Mathematics and B.Sc. in Mathematics from the University of Baghdad. His research interests are Analysis, Algebra, Geometry, Topology and their Applications. He was granted NZ postdoctoral fellowship at University of Pittsburgh and University of Auckland 2001-2002. He has worked as a faculty member at University of Auckland, NZ and Sultan Qaboos University prior to his joining University of Nizwa. He was on research collaboration visits at Oxford University, University of South Carolina, University of Birmingham and University of Galway.
Dr. Khalifa Al Shaqsi received a Ph.D. in Mathematics from the National University of Malaysia in 2009 and M.S.c in Mathematics from the National University of Malaysia in 2006. He is working as an Associate Professor in Department of Mathematical and Physical Sciences at University of Nizwa, Oman from 2021. His research interests are geometric function theory and its application, complex analysis and real analysis.
Dr. Mukesh Kumar Awasthi has done his Ph.D. on the topic “Viscous Correction for the Potential Flow Analysis of Capillary and Kelvin-Helmholtz instability”. He is working as an Assistant Professor in Department of Mathematics at Babasaheb Bhimrao Ambedkar University, Lucknow. Dr. Awasthi is specialized in mathematical modelling of flow problems. He is able to solve these problems analytically as well as numerically. He has a good grasp on the subjects like viscous potential flow, electro-hydrodynamics, magneto-hydrodynamics, heat, and mass transfer. He has excellent communication skills and leadership qualities. He has published 105 plus research publications (journal articles/books/book-chapters/conference articles) in Elsevier, Taylor & Francis, Springer, Emerald, World Scientific and many other national and international journals and conferences. Also, he has published 5 books. He has attended many symposia, workshops, and conferences in mathematics as well fluid mechanics. He has got “Research Awards” consecutively four times from 2013-2016 by the University of Petroleum and Energy studies, Dehradun, India. He has also received the start-up research fund for his project “Nonlinear study of interface in multilayer fluid system” from UGC, New Delhi. He is also listed in the top 2% influential researchers in the World prepared by Stanford University based on Scopus data.