Algebra and Trigonometry for College Students, Second Edition, is intended for a college algebra and trigonometry course that incorporates a review of intermediate algebra, or for an extended intermediate algebra course that adds topics in college algebra and trigonometry. A unique goal of this book is to provide expanded coverage of the introductory topics in algebra and trigonometry while reducing or omitting coverage of some of the advanced topics. An innovative spiral organization is used that includes an early introduction to trigonometry. This ordering of topics provides for many opportunities to integrate algebraic and trigonometric concepts.
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After Chapter 1 reviews basic algebra, the ensuing chapters provide an introduction to functions, graphs, systems of equations, and trigonometry. The early introduction of these topics allows the student to take advantage of modern technology to develop multiple problem-solving strategies. When Chapter 5 develops further algebraic techniques, it is then possible to show that algebraic and trigonometric expressions are factored and combined in analogous ways, an insight especially helpful in preparing students for trigonometric identities. When a variety of equations and inequalities are solved algebraically in chapters 5 through 7, students can picture solutions as an intersection of two graphs.
Beginning with Chapter 7, the text spirals back to a relations theme and considers second-degree equations in one and two variables, exponential and logarithmic functions, more advanced topics in trigonometry, sequences, series, polynomial functions and rational functions.
Algebra and Trigonometry for College Students embodies the belief that current textbooks must provide a balanced approach to learning algebra and trigonometry by incorporating many of the changes recommended by various reform programs while maintaining the sound pedagogical features of traditional texts. This allows students to develop basic skills while preparing them to make the transition in higher-level math to a “conceptual approach.” A complete set of pedagogical features is used consistently to achieve the deserved balance between concepts and skills.