College Algebra and Trigonometry: A Unit Circle Approach, Pearson New International Edition

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The textbook College Algebra and Trigonometry A Unit Circle Approach authored by Mark Dugopolski and published by Pearson serves as a comprehensive guide designed to assist students at the college level The book s primary focus is on developing a deep understanding and building confidence in mastering college algebra and trigonometry material utilizing a distinctive approach that incorporates the unit circle for trigonometric concepts This edition specifically emphasizes the importance of problem solving strategies and critical thinking skills According to Pearson the text provides solid and structured content coverage by integrating various learning aids and careful material reviews The objective is to help students master complex concepts without getting sidetracked from their main learning goals all while highlighting the application of mathematical concepts in real life situations thus imparting essential skills relevant beyond the course itself The material covered in this book is extensive beginning with a fundamental review of algebra that includes single and two variable equations modeling linear and quadratic inequalities and graphs The discussion then progresses to the concepts of functions and graphs including transformations function operations and inverse functions Subsequent sections delve into polynomial and rational functions polynomial roots equation theory and the graphing of these functions Exponential and logarithmic functions and their applications are also discussed in detail The core of the book lies in the trigonometry section which is introduced through the right triangle approach and the graphing of trigonometric functions with a clear emphasis on the unit circle approach mentioned in the title This topic is enriched with discussions on trigonometric identities and equations as well as the laws of sines and cosines Finally the book also covers supplementary topics such as conic sections circles and parabolas sequences and series and the basics of combinatorics The presented learning features such as learning aids and review tools strategically placed throughout the text are designed to help students practice mathematics effectively The strong emphasis on problem solving and critical thinking tools aims to build a robust conceptual understanding for its readers The textbook College Algebra and Trigonometry: A Unit Circle Approach, authored by Mark Dugopolski and published by Pearson, serves as a comprehensive guide designed to assist students at the college level. The book's primary focus is on developing a deep understanding and building confidence in mastering college algebra and trigonometry material, ...utilizing a distinctive approach that incorporates the unit circle for trigonometric concepts. This edition specifically emphasizes the importance of problem-solving strategies and critical thinking skills. According to Pearson, the text provides solid and structured content coverage by integrating various learning aids and careful material reviews. The objective is to help students master complex concepts without getting sidetracked from their main learning goals, all while highlighting the application of mathematical concepts in real-life situations, thus imparting essential skills relevant beyond the course itself. The material covered in this book is extensive, beginning with a fundamental review of algebra that includes single and two-variable equations, modeling, linear and quadratic inequalities, and graphs. The discussion then progresses to the concepts of functions and graphs, including transformations, function operations, and inverse functions. Subsequent sections delve into polynomial and rational functions, polynomial roots, equation theory, and the graphing of these functions. Exponential and logarithmic functions and their applications are also discussed in detail. The core of the book lies in the trigonometry section, which is introduced through the right-triangle approach and the graphing of trigonometric functions, with a clear emphasis on the unit circle approach mentioned in the title. This topic is enriched with discussions on trigonometric identities and equations, as well as the laws of sines and cosines. Finally, the book also covers supplementary topics such as conic sections (circles and parabolas), sequences and series, and the basics of combinatorics. The presented learning features, such as learning aids and review tools strategically placed throughout the text, are designed to help students practice mathematics effectively. The strong emphasis on problem-solving and critical thinking tools aims to build a robust conceptual understanding for its readers.

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