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Table of Contents
Description
College Algebra & Trigonometry by Richard W. Beveridge is a comprehensive textbook that aims to provide students with a solid foundation in both classical algebra and analytic geometry. With its emphasis on problem-solving and the introduction of transcendental exponential and logarithmic functions, this book offers a well-rounded approach to the study of mathematics. In this review, we will explore the various components of the book, the topics covered, and provide an overall assessment of its effectiveness as a learning resource.
About the Author
Richard W. Beveridge, the author of College Algebra & Trigonometry, is a respected educator at Clatsop Community College. With his extensive experience in teaching mathematics, Beveridge brings a wealth of knowledge and expertise to the subject matter. His clear and concise writing style, combined with his deep understanding of the material, makes the book accessible and engaging for students at the college level.
Components of the Textbook
The textbook follows a well-organized structure, presenting the material in a logical progression. Each chapter begins with a brief introduction, outlining the key concepts and objectives to be covered. Throughout the book, Beveridge provides numerous examples, explanations, and step-by-step solutions to guide students through the mathematical concepts. The inclusion of practice problems and exercises at the end of each chapter allows students to test their understanding and reinforce their learning.
Topics Covered
- Classical Algebra: The book starts with a comprehensive review of classical algebra, covering topics such as equations, inequalities, functions, polynomials, and rational expressions. Beveridge ensures that students have a solid grasp of these fundamental algebraic concepts before moving on to more advanced topics.
- Analytic Geometry: In the section on analytic geometry, students are introduced to the Cartesian coordinate system and its applications in graphing equations and functions. The concept of vectors and their operations is also covered, providing students with a solid foundation for further studies in calculus and physics.
- Transcendental Functions: One of the highlights of this textbook is its introduction to transcendental exponential and logarithmic functions. Students learn about exponential growth and decay, logarithmic properties, and applications of these functions in various real-world contexts. The inclusion of these topics adds depth to the book and prepares students for more advanced mathematical concepts.
Review
College Algebra & Trigonometry is a highly valuable resource for students studying mathematics at the college level. The textbook is written in a clear and concise manner, making complex mathematical concepts accessible to a wide range of learners. Beveridge’s emphasis on problem-solving and real-world applications helps students understand the practical relevance of the material, fostering a deeper appreciation for the subject.
The inclusion of numerous examples, practice problems, and exercises allows students to actively engage with the content and reinforce their understanding. The step-by-step solutions provided for the practice problems are particularly helpful, as they guide students through the problem-solving process and demonstrate the correct approach.
One of the strengths of this textbook is its comprehensive coverage of classical algebra, which serves as a strong foundation for the study of higher-level mathematics. The inclusion of analytic geometry and transcendental functions further expands the scope of the book, providing students with a well-rounded understanding of the subject.
The organization of the textbook is well-thought-out, with clear chapter divisions and subheadings that aid navigation. However, some students may find the book to be dense in content, especially when tackling more complex topics. In such cases, additional visual aids or illustrations could enhance the learning experience and facilitate comprehension.
In terms of accessibility, the textbook is available as an open educational resource, which is a commendable aspect. This ensures that students can access the material without financial barriers, making it a cost-effective option for both instructors and learners.
College Algebra & Trigonometry by Richard W. Beveridge is an excellent textbook for college-level mathematics courses. It provides a comprehensive and well-structured approach to the study of algebra and analytic geometry, with the added benefit of introducing transcendental functions. Richard W. Beveridge’s expertise and clear writing style make this textbook a valuable resource for students seeking to develop a solid foundation in mathematics.