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Prior to 1990, the performance of a student in precalculus at the University of Washington was not a predictor of success in calculus. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind: A review of the essential mathematics needed to succeed in calculus. An emphasis on problem solving, the idea being to gain both experience and confidence in working with a particular set of mathematical tools. This text was created to achieve these goals and the 2004-05 academic year marks the eleventh year in which it has been used. Several thousand students have successfully passed through the course. This book is full of worked out examples. We use the the notation “Soluion.” to indicate where the reasoning for a problem begins; the symbol ?? is used to indicate the end of the solution to a problem. There is a Table of Contents that is useful in helping you find a topic treated earlier in the course. It is also a good rough outline when it comes time to study for the final examination. The book also includes an index at the end. Finally, there is an appendix at the end of the text with ”answers” to most of the problems in the text. It should be emphasized these are ”answers” as opposed to ”solutions”. Any homework problems you may be asked to turn in will require you include all your work; in other words, a detailed solution. Simply writing down the answer from the back of the text would never be sufficient; the answers are intended to be a guide to help insure you are on the right track.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Textbooks
- Resource Type:
- e-book
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e-book
These are the Federal Rules of Civil Procedure (FRCP) as amended to December 01, 2016. The FRCP govern civil proceedings in the United States district courts and are often the foundation for the standard 1L law school course, Civil Procedure.
- Keywords:
- Civil procedure Court rules Textbooks United States
- Resource Type:
- e-book
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e-book
These are the Federal Rules of Evidence (FRE) as effective December 01, 2016. The FRE govern the introduction of evidence in civil and criminal trials in United States federal courts. These Rules are often the foundation for the standard upper level law school course in Evidence.
- Keywords:
- Court rules Evidence (Law) Textbooks United States
- Resource Type:
- e-book
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e-book
This text covers the standard material for a US undergraduate first course: linear systems and Gauss's Method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues, as well as additional topics such as introductions to various applications. It has extensive exercise sets with worked answers to all exercises, including proofs, beamer slides for classroom use, and a lab manual for computer work. The approach is developmental. Although everything is proved, it introduces the material with a great deal of motivation, many computational examples, and exercises that range from routine verifications to a few challenges. Ancillary materials are available at the publisher link.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Algebras Linear
- Resource Type:
- e-book
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e-book
Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present. This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching (Secondary)
- Resource Type:
- e-book
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e-book
This textbook introduces aspects of the history of Canada since Confederation. “Canada” in this context includes Newfoundland and all the other parts that come to be aggregated into the Dominion after 1867. Much of this text follows thematic lines. Each chapter moves chronologically but with alternative narratives in mind. What Aboriginal accounts must we place in the foreground? Which structures (economic or social) determine the range of choices available to human agents of history? What environmental questions need to be raised to gain a more complete understanding of choices made in the past and their ramifications?
- Subjects:
- Area Studies
- Keywords:
- Canada Textbooks
- Resource Type:
- e-book
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e-book
This grammar provides a grammatical description of Palula, an Indo-Aryan language of the Shina group. The language is spoken by about 10,000 people in the Chitral district in Pakistan’s Khyber Pakhtunkhwa Province. This is the first extensive description of the formerly little-documented Palula language, and is one of only a few in-depth studies available for languages in the extremely multilingual Hindukush-Karakoram region. The grammar is based on original fieldwork data, collected over the course of about ten years, commencing in 1998. It is primarily in the form of recorded, mainly narrative, texts, but supplemented by targeted elicitation as well as notes of observed language use. All fieldwork was conducted in close collaboration with the Palula-speaking community, and a number of native speakers took active part in the process of data gathering, annotation and data management. The main areas covered are phonology, morphology and syntax, illustrated with a large number of example items and utterances, but also a few selected lexical topics of some prominence have received a more detailed treatment as part of the morphosyntactic structure. Suggestions for further research that should be undertaken are given throughout the grammar. The approach is theory-informed rather than theory-driven, but an underlying functional-typological framework is assumed. Diachronic development is taken into account, particularly in the area of morphology, and comparisons with other languages and references to areal phenomena are included insofar as they are motivated and available. The description also provides a brief introduction to the speaker community and their immediate environment.
- Subjects:
- Foreign Language Learning
- Keywords:
- Language languages -- Grammars Indo-Aryan languages -- Grammar Textbooks
- Resource Type:
- e-book
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e-book
This book covers Direct Current (DC) circuit theory and is broken up into three modules. Module 1 covers the basics for circuits that include DC sources (voltage or current) and resistors. Even though Module 1 is not very difficult, it forms the foundation for more complicated topics in modules 2 and 3 so it is important to have a firm grasp of all Module 1 topics before moving on. Module 2 covers more difficult problem solving techniques for circuits that include only DC sources and resistors. Module 3 introduces capacitors and inductors. These non-linear reactive components are analyzed in the transient and steady state regions in circuits with DC sources in Module 3. Also annexed is a two-page cheat sheet that ENGR 2431 students at University of Oklahoma can use for exams.
- Subjects:
- Electrical Engineering
- Keywords:
- Electric circuits -- Direct current Textbooks
- Resource Type:
- e-book
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e-book
With funding from Alberta Open Educational Resources, Bow Valley College and NorQuest College collaborated to create Open Educational Resources (OER) in the form of e-textbooks for English language learners. NorQuest College created In the Community: An Intermediate Integrated Skills Textbook. The textbook: helps learners notice, learn, and practice English that will be helpful in your community gives learners practice in the four main language skills–listening, speaking, reading, and writing helps learners learn about intercultural skills helps learners develop some important essential skills can be used as an online textbook with interactive activities or downloaded, printed and used as a regular textbook The textbook is aimed at Canadian Language Benchmarks levels 5/6 and has been designed to be facilitated by an instructor.
- Subjects:
- English Language
- Keywords:
- Reading comprehension English language -- Study teaching Textbooks
- Resource Type:
- e-book
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e-book
Greek and Latin Roots: Part II - Greek is part two of a two part series. This series examines the systematic principles by which a large portion of English vocabulary has evolved from Latin and (to a lesser degree) from Greek. This book focuses on Greek roots. A link to the first part focusing on the Latin roots can be found below. Part II will try to impart some skill in the recognition and proper use of words derived from Greek. There is a stress on principles: although students will be continually looking at interesting individual words, their constant aim will be to discover predictable general patterns of historical development, so that they may be able to cope with new and unfamiliar words of any type that they have studied. They will be shown how to approach the problem by a procedure known as “word analysis,” which is roughly comparable to the dissection of an interesting specimen in the biology laboratory. The text assumes no previous knowledge of Greek, and does not involve the grammatical study of this language—except for a few basic features of noun and verb formation that will help students to understand the Greek legacy in English. All students will be asked to learn the Greek alphabet. This skill is not absolutely essential for a general knowledge of Greek roots in English. However, it will help students understand a number of otherwise puzzling features of spelling and usage. Although there will be some attention paid to the historical interaction of Greek with English, this text is definitely not a systematic history of the English language. It focuses on only those elements within English that have been directly or indirectly affected by this classical language. In order to provide the broadest possible service to students, the text emphasizes standard English vocabulary in current use. The more exotic technical vocabulary of science and medicine can be extremely interesting, but is explored in only summary fashion. Nevertheless, this text should be of considerable value, say, to a would-be botanist or medical doctor, if only by providing the foundation for further specialized enquiry.
- Subjects:
- English Language, Foreign Language Learning, and Language and Languages
- Keywords:
- English language -- Foreign elements -- Greek Textbooks Greek language -- Influence on English English language -- Roots
- Resource Type:
- e-book