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"Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.
Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way. Coverage and Scope Precalculus contains twelve chapters, roughly divided into three groups. Chapters 1-4 discuss various types of functions, providing a foundation for the remainder of the course. Chapter 1: Functions Chapter 2: Linear Functions Chapter 3: Polynomial and Rational Functions Chapter 4: Exponential and Logarithmic Functions Chapters 5-8 focus on Trigonometry. In Precalculus, we approach trigonometry by first introducing angles and the unit circle, as opposed to the right triangle approach more commonly used in College Algebra and Trigonometry courses. Chapter 5: Trigonometric Functions Chapter 6: Periodic Functions Chapter 7: Trigonometric Identities and Equations Chapter 8: Further Applications of Trigonometry Chapters 9-12 present some advanced Precalculus topics that build on topics introduced in chapters 1-8. Most Precalculus syllabi include some of the topics in these chapters, but few include all. Instructors can select material as needed from this group of chapters, since they are not cumulative. Chapter 9: Systems of Equations and Inequalities Chapter 10: Analytic Geometry Chapter 11: Sequences, Probability and Counting Theory Chapter 12: Introduction to Calculus
Features review questions at the end of each chapter; Includes suggestions for recommended reading; Provides a glossary of ecological terms; Has a wide audience as a textbook for advanced undergraduate students, graduate students and as a reference for practicing scientists from a wide array of disciplines
"Willis catches the student up on relevant aspects of philosophy, empiricism, history, and prevailing political influences. This building of chronology is so valuable for students in understanding the origins of specific schools of thought in relations to a paradigm." —Heather T. Zeng, NACADA Foundations of Qualitative Research introduces key theoretical and epistemological concepts replete with historical and current real-world examples. Author Jerry W. Willis provides an invaluable resource to guide the critical and qualitative inquiry process written in an accessible and non-intimidating style that brings these otherwise difficult concepts to life. Key Features: Covers the conceptual foundations of interpretive, critical, and post-positivist paradigms: A thorough background of theory and social inquiry is given by looking at the development of each paradigm throughout history. Provides real-world examples: Cases illustrate different approaches to the same research problem so that students can better understand the contrasting features of these paradigms. Introduces seven qualitative research frameworks: In-depth coverage is provided on Altheide and Johnson′s Analytic Realism; Denzin and Lincoln′s Interpretive Perspective; Eisner′s Connoisseurship Model of Inquiry; Semiotics; the Phenomenological Psychological Model; Poststructuralism and Postmodernism; and Symbolic Interactionism. Offers general guidelines for qualitative research: Conceptually covers the best practices, approaches to data analysis, and interpretation of qualitative research. Examines emergent methods in qualitative research: New research areas such as PAR, emancipatory research, and participatory design research are included, as well as exemplary journal articles to further illustrate how theory links to research practice. Intended Audience: This text is designed for advanced undergraduate and graduate students taking their first or second qualitative research methods course in the fields of Education, Psychology, and the Health and Social Sciences. It is also an excellent theory companion supplement to the more applied qualitative methods text.