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This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.The primary goal of this book is to help you learn to think like a mathematician in some very specific ways. You will:• Make sense of problems and persevere in solving them. You will develop and demonstrate this skill by working on difficult problems, making incremental progress, and revising solutions to problems as you learn more.• Reason abstractly and quantitatively. You will demonstrate this skill by learning to represent situations using mathematical notation (abstraction) as well as creating and testing examples (making situations more concrete).• Construct viable arguments and critique the reasoning of others. You will be expected to create both written and verbal explanations for your solutions to problems. The most important questions in this class are “Why?” and “How do you know you're right?” Practice asking these questions of yourself, of your professor, and of your fellow students.Throughout the book, you will learn how to learn mathematics on you own by reading, working on problems, and making sense of new ideas on your own and in collaboration with other students in the class.
- Keywords:
- Mathematics -- Study teaching (Elementary) Textbooks
- Resource Type:
- e-book
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e-book
This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take. This book consists of 10 chapters, and the course is 12 weeks long. Each chapter is covered in a week, and in the remaining two weeks I summarize the entire course, answer lots of questions, and prepare the students for the exam. I do not cover the material in the appendices in the lectures. Some of it is basic material that the students have already seen that I include for completeness and other topics are "tasters" for more advanced material that students will encounter in later courses or in their project work. Students are very curious about the notion of chaos, and I have included some material in an appendix on that concept. The focus in that appendix is only to connect it with ideas that have been developed in this course related to ODEs and to prepare them for more advanced courses in dynamical systems and ergodic theory that are available in their third and fourth years.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential equations Textbooks Differential equations Partial
- Resource Type:
- e-book
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e-book
Literature Reviews for Education and Nursing Graduate Students is an open textbook designed for students in graduate-level nursing and education programs. Its intent is to recognize the significant role the literature review plays in the research process and to prepare students for the work that goes into writing one. Developed for new graduate students and novice researchers just entering into the work of a chosen discipline, each of the eight chapters covers a component of the literature review process. Students will learn how to form a research question, search existing literature, synthesize results and write the review. The book contains examples, checklists, supplementary materials, and additional resources. Literature Reviews for Education and Nursing Graduate Students is written by two librarians with expertise guiding students through research and writing assignments, and is openly licensed.
- Subjects:
- Statistics and Research Methods and Nursing
- Keywords:
- Education -- Research -- Methodology Nursing -- Research -- Methodology Textbooks
- Resource Type:
- e-book
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e-book
Health Case Studies is composed of eight separate health case studies. Each case study includes the patient narrative or story that models the best practice (at the time of publishing) in healthcare settings. Associated with each case is a set of specific learning objectives to support learning and facilitate educational strategies and evaluation. The case studies can be used online in a learning management system, in a classroom discussion, in a printed course pack or as part of a textbook created by the instructor. This flexibility is intentional and allows the educator to choose how best to convey the concepts presented in each case to the learner. Because these case studies were primarily developed for an electronic healthcare system, they are based predominantly in an acute healthcare setting. Educators can augment each case study to include primary healthcare settings, outpatient clinics, assisted living environments, and other contexts as relevant.
- Subjects:
- Health Sciences and Nursing
- Keywords:
- Medical care Textbooks
- Resource Type:
- e-book
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e-book
Introduction to Criminal Investigation, Processes, Practices, and Thinking is a teaching text designed to assist the student in developing their own structured mental map of processes, practices, and thinking to conduct criminal investigations. Delineating criminal investigation into operational descriptors of tactical-response and strategic response while using illustrations of task-skills and thinking-skills, the reader is guided into structured thinking practices. Using the graphic tools of a “Response Transition Matrix”, an “Investigative Funnel”, and the “STAIR Tool”, the reader is shown how to form their own mental map of investigative thinking that can later be articulated in support of forming their reasonable grounds to believe. Chapter 1 introduces criminal investigation as both a task process and a thinking process. This chapter outlines these concepts, rules, and processes with the goal of providing practical tools to ensure successful investigative processes and practices. Most importantly, this book informs the reader how to approach the investigative process using “investigative thinking.” Chapter 2 illustrates investigation by establishing an understanding of the operational forum in which it occurs. That forum is the criminal justice system and in particular, the court system. The investigative process exists within the statutory rules of law, including the Canadian Charter of Rights and Freedoms, and case law rulings adjudicated by the courts. Considering the existence of these conditions, obligations, and case law rules, there are many terms and concepts that an investigator needs to understand to function appropriately and effectively within the criminal justice system. The purpose of this chapter is to introduce some of the basic legal parameters and concepts of criminal justice within which the criminal investigation process takes place. Chapter 3 describes the functions and terms of “evidence”, as they relate to investigation. This speaks to a wide range of information sources that might eventually inform the court to prove or disprove points at issue before the trier of fact. Sources of evidence can include anything from the observations of witnesses to the examination and analysis of physical objects. It can even include the spatial relationships between people, places, and objects within the timeline of events. From the various forms of evidence, the court can draw inferences and reach conclusions to determine if a charge has been proven beyond a reasonable doubt. Considering the critical nature of evidence within the court system, there are a wide variety of definitions and protocols that have evolved to direct the way evidence is defined for consideration by the court. In this chapter, we look at some of the key definitions and protocols that an investigator should understand to carry out the investigative process. Chapter 4 breaks investigation down into logical steps, establishing a progression that can be followed and repeated to reach the desired results. The process of investigation can be effectively explained and learned in this manner. In this chapter the reader is introduced to various issues in the progression that relate to the process of investigation. Chapter 5 examines the operational processes of investigation. In this chapter we introduce the three big investigative errors along with graphic illustrations of “The Investigative Funnel” and the “S T A I R Tool” to illustrate how each of these concepts in the investigative progression. Chapter 6 provides the reader the opportunity to work through some investigative scenarios using the S T A I R Tool. These scenarios demonstrate the investigative awareness required to transition from the tactical investigative response to the strategic investigative response. Once in the strategic response mode the reader is challenged to practice applying theory development to conduct analysis of the evidence and information to create an investigative plan. This chapter presents two investigative scenarios each designed to illustrate different steps of the S T A I R tool allowing the student to recognize both the tactical and the strategic investigative responses and the implications of transitioning from the tactical to the strategic response. Chapter 7 illustrates the investigative practices of witness management. Witness statements will assist the investigator in forming reasonable grounds to lay a charge, and will assist the court in reaching a decision that the charge against an accused person has been proved beyond a reasonable doubt. It is important for an investigator to understand these practices as they allow an investigator to evaluate witnesses and collect witness evidence that will be acceptable to the courts. Chapter 8 describes crime scene management skills. These skills are an extremely significant task component of investigation because evidence that originates at the crime scene will provide a picture of events for the court to consider in its deliberations. That picture will be composed of witness testimony, crime scene photographs, physical exhibits, and the analysis of those exhibits, along with the analysis of the crime scene itself. From this chapter, the reader will learn the task processes and protocols for several important issues in crime scene management. Chapter 9 examines the interviewing, questioning, and interrogation techniques police use to aid them in investigations. The courts expect police to exercise high standards using practices that focus on the rights of the accused person, and minimize any physical or mental anguish that might cause a false confession. In meeting these expectations, the challenges of suspect questioning and interrogation can be complex, and many police agencies have trained interrogators and polygraph operators who undertake the interrogation of suspects for major criminal cases. But not every investigation qualifies as a major case, and frontline police investigators are challenged to undertake the tasks of interviewing, questioning, and interrogating possible suspects daily. The challenge for police is that the questioning of a suspect and the subsequent confession can be compromised by flawed interviewing, questioning, or interrogation practices. Understanding the correct processes and the legal parameters can make the difference between having a suspect's confession accepted as evidence by the court or not. Chapter 10 examines various forensic sciences and the application of forensic sciences as practical tools to assist police in conducting investigations. As we noted in Chapter 1, it is not necessary for an investigator to be an expert in any of the forensic sciences; however, it is important to have a sound understanding of forensic tools to call upon appropriate experts to deploy the correct tools when required. Chapter 11 summarizes the learning objectives of this text and suggests investigative learning topics for the reader going forward. Many topics relative to investigative practices have not been covered here as part of the core knowledge requirements for a new investigator. These topics include: Major Case ManagementInformant and confidential source managementUndercover investigationsSpecialized team investigations
- Keywords:
- Criminal investigation Textbooks
- Resource Type:
- e-book
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e-book
The web gives us many such strategies and tactics and tools, which, properly used, can get students closer to the truth of a statement or image within seconds. For some reason we have decided not to teach students these specific techniques. As many people have noted, the web is both the largest propaganda machine ever created and the most amazing fact-checking tool ever invented. But if we haven't taught our students those capabilities is it any surprise that propaganda is winning? This is an unabashedly practical guide for the student fact-checker. It supplements generic information literacy with the specific web-based techniques that can get you closer to the truth on the web more quickly.
- Keywords:
- Internet literacy Textbooks
- Resource Type:
- e-book
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e-book
This textbook is not intended to be an exhaustive treatise; rather, it is intended to be far more useful than that for beginning tax law students by equipping the novice not merely with unmoored detail but rather with a rich blueprint that illuminates the deeper structural framework on which that detail hangs (sometimes crookedly). Chapter 1 outlines the conceptual meaning of the term “income” for uniquely tax purposes (as opposed to financial accounting or trust law purposes, for example) and examines the Internal Revenue Code provisions that translate this larger conceptual construct into positive law. Chapter 2 explores various forms of consumption taxation because the modern Internal Revenue Code is best perceived as a hybrid income-consumption tax that also contains many provisions—for wise or unwise nontax policy reasons—that are inconsistent with both forms of taxation. Chapter 3 then provides students with the story of how we got to where we are today, important context about the distribution of the tax burden, the budget, and economic trends, as well as material on ethical debates, economic theories, and politics as they affect taxation. Armed with this larger blueprint, students are then in a much better position to see how the myriad pieces that follow throughout the remaining 19 chapters fit into this bigger picture, whether comfortably or uncomfortably. For example, they are in a better position to appreciate how applying the income tax rules for debt to a debt-financed investment afforded more favorable consumption tax treatment creates tax arbitrage problems. Congress and the courts then must combat these tax shelter opportunities (sometimes ineffectively) with both statutory and common law weapons. Stated another way, students are in a better position to appreciate how the tax system can sometimes be used to generate (or combat) unfair and economically inefficient rent-seeking behavior.
- Subjects:
- Law and Legislation
- Keywords:
- Income tax -- Law legislation United States Textbooks
- Resource Type:
- e-book
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e-book
This book describes how Earth's climate is changing, how it has been changing in the recent geological past and how it may change in the future. It covers the physical sciences that build the foundations of our current understanding of global climate change such as radiation, Earth's energy balance, the greenhouse effect and the carbon cycle. Both natural and human causes for climate change are discussed. Impacts of climate change on natural and human systems are summarized. Ethical and economical aspects of human-caused climate change and solutions are presented.
- Subjects:
- Environmental Sciences
- Keywords:
- Climatology Textbooks Climatic changes
- Resource Type:
- e-book
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e-book
This is the story of a web-based information system rebuild. The system in question is www.teachengineering.org, a digital library of K-12 engineering curriculum that was built from the ground up with established technology and which for 13 years enjoyed lasting support from its growing user community and its sponsors. These 13 years, however, cover the period during which smart phones and tablets became commonplace, during which the Internet of Things started replacing the Semantic Web, during which NoSQL databases made their way out of the research labs and into everyday development shops, during which we collectively started moving IT functions and services into ‘the cloud,’ and during which computing performance doubled a few times, yet again. During this same period, TeachEngineering’s user base grew from a few hundred to more than 3 million users annually, its collection size quadrupled, it went through several user interface renewals, and significant functionality was added while having an exemplary service record, and it enjoyed continued financial support from its sponsors. In this monograph we provide a side-by-side of this rebuild. We lay out the choices made in the old architecture —we refer to it as TE 1.0— and compare and contrast them with the choices made for TE 2.0. We explain why both the 1.0 and 2.0 choices were made and discuss the advantages and disadvantages associated with them.
- Subjects:
- Computing
- Keywords:
- Web site development Web sites -- Design Textbooks
- Resource Type:
- e-book
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e-book
The Soils Laboratory Manual, K-State Edition is designed for students in undergraduate, introductory soil science courses, and highlights the many aspects of soil science, including: soil genesis and classification, soil physical properties, soil-water interaction, soil biology, soil chemistry, and soil fertility. The lab manual includes 15 different laboratories, each one starting with an introduction and pre-lab assignment, followed by in-lab activities, and complimented by post-lab assignment. In-lab activities involve field trips, experiments, observation stations, or problem sets. Post-lab assignments include online quizzes, problem sets, or laboratory summary reports.
- Subjects:
- Land Surveying and Geo-Informatics
- Keywords:
- Soils Laboratory manuals Soil mechanics Textbooks
- Resource Type:
- e-book