Precalculus

Precalculus

Author: Jay Abramson

Publisher:

Published: 2018-01-07

Total Pages: 1152

ISBN-13: 9789888407446

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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


Principles to Actions

Principles to Actions

Author: National Council of Teachers of Mathematics

Publisher: National Council of Teachers of Mathematics, Incorporated

Published: 2014-02

Total Pages: 139

ISBN-13: 9780873537742

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This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.


The Nature and Role of Algebra in the K-14 Curriculum

The Nature and Role of Algebra in the K-14 Curriculum

Author: Center for Science, Mathematics, and Engineering Education

Publisher: National Academies Press

Published: 1998-10-07

Total Pages: 206

ISBN-13: 0309522455

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With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.


Task Design In Mathematics Education

Task Design In Mathematics Education

Author: Anne Watson

Publisher: Springer

Published: 2015-10-26

Total Pages: 339

ISBN-13: 331909629X

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*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.


Visual Form 2001

Visual Form 2001

Author: Carlo Arcelli

Publisher: Springer

Published: 2003-06-29

Total Pages: 798

ISBN-13: 3540451293

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This book constitutes the refereed proceedings of the 4th International Workshop on Visual Form, IWVF-4, held in Capri, Italy, in May 2001. The 66 revised full papers presented together with seven invited papers were carefully reviewed and selected from 117 submissions. The book covers theoretical and applicative aspects of visual form processing. The papers are organized in topical sections on representation, analysis, recognition, modelling and retrieval, and applications.


Linear Optimization

Linear Optimization

Author: Glenn Hurlbert

Publisher: Springer Science & Business Media

Published: 2009-11-09

Total Pages: 279

ISBN-13: 0387791485

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The Subject A little explanation is in order for our choice of the title Linear Opti- 1 mization (and corresponding terminology) for what has traditionally been called Linear Programming.Theword programming in this context can be confusing and/or misleading to students. Linear programming problems are referred to as optimization problems but the general term linear p- gramming remains. This can cause people unfamiliar with the subject to think that it is about programming in the sense of writing computer code. It isn’t. This workbook is about the beautiful mathematics underlying the ideas of optimizing linear functions subject to linear constraints and the algorithms to solve such problems. In particular, much of what we d- cuss is the mathematics of Simplex Algorithm for solving such problems, developed by George Dantzig in the late 1940s. The word program in linear programming is a historical artifact. When Dantzig ?rstdevelopedthe Simplex Algorithm to solvewhat arenowcalled linear programming problems, his initial model was a class of resource - location problems to be solved for the U.S. Air Force. The decisions about theallocationswerecalled‘Programs’bytheAirForce,andhencetheterm.


Transboundary Floods: Reducing Risks Through Flood Management

Transboundary Floods: Reducing Risks Through Flood Management

Author: Jiri Marsalek

Publisher: Springer Science & Business Media

Published: 2006-07-05

Total Pages: 349

ISBN-13: 1402049021

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These edited proceedings of the NATO Advanced Research Workshop detail the ongoing search for better ways of protecting human life, land, property and the environment by improved flood management. Such flood management is difficult enough in river basins controlled by a single authority, and becomes even more challenging when dealing with transboundary floods, which may originate in one country or jurisdiction and propagate downstream to another country, or jurisdiction.


Benefiting from Thermal and Mechanical Simulation in Micro-Electronics

Benefiting from Thermal and Mechanical Simulation in Micro-Electronics

Author: L.J. Ernst

Publisher: Springer Science & Business Media

Published: 2000-12-31

Total Pages: 214

ISBN-13: 9780792372783

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"Benefiting from Thermal and Mechanical Simulation inMicro-Electronics" presents papers from the first internationalconference on this topic, EuroSimE2000. For the first time, peoplefrom the electronics industry, research institutes, software companiesand universities joined together to discuss present and possiblefuture thermal and mechanical related problems and challenges inmicro-electronics; the state-of-the-art methodologies for thermal &mechanical simulation and optimization of micro-electronics; and theperspectives of future simulation and optimization methodologydevelopment.Main areas covered are: - "Benefiting from Thermal and""Mechanical Simulation in Micro-Electronics" is suitable forstudents at graduate level and beyond, and for researchers, designersand specialists in the fields of microelectronics and mechanics.


Engineering Optimization

Engineering Optimization

Author: S. S. Rao

Publisher: New Age International

Published: 2000

Total Pages: 936

ISBN-13: 9788122411492

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A Rigorous Mathematical Approach To Identifying A Set Of Design Alternatives And Selecting The Best Candidate From Within That Set, Engineering Optimization Was Developed As A Means Of Helping Engineers To Design Systems That Are Both More Efficient And Less Expensive And To Develop New Ways Of Improving The Performance Of Existing Systems.Thanks To The Breathtaking Growth In Computer Technology That Has Occurred Over The Past Decade, Optimization Techniques Can Now Be Used To Find Creative Solutions To Larger, More Complex Problems Than Ever Before. As A Consequence, Optimization Is Now Viewed As An Indispensable Tool Of The Trade For Engineers Working In Many Different Industries, Especially The Aerospace, Automotive, Chemical, Electrical, And Manufacturing Industries.In Engineering Optimization, Professor Singiresu S. Rao Provides An Application-Oriented Presentation Of The Full Array Of Classical And Newly Developed Optimization Techniques Now Being Used By Engineers In A Wide Range Of Industries. Essential Proofs And Explanations Of The Various Techniques Are Given In A Straightforward, User-Friendly Manner, And Each Method Is Copiously Illustrated With Real-World Examples That Demonstrate How To Maximize Desired Benefits While Minimizing Negative Aspects Of Project Design.Comprehensive, Authoritative, Up-To-Date, Engineering Optimization Provides In-Depth Coverage Of Linear And Nonlinear Programming, Dynamic Programming, Integer Programming, And Stochastic Programming Techniques As Well As Several Breakthrough Methods, Including Genetic Algorithms, Simulated Annealing, And Neural Network-Based And Fuzzy Optimization Techniques.Designed To Function Equally Well As Either A Professional Reference Or A Graduate-Level Text, Engineering Optimization Features Many Solved Problems Taken From Several Engineering Fields, As Well As Review Questions, Important Figures, And Helpful References.Engineering Optimization Is A Valuable Working Resource For Engineers Employed In Practically All Technological Industries. It Is Also A Superior Didactic Tool For Graduate Students Of Mechanical, Civil, Electrical, Chemical And Aerospace Engineering.


Dual Grid Graph Notebook

Dual Grid Graph Notebook

Author: Milo McRays

Publisher:

Published: 2019-03-21

Total Pages: 120

ISBN-13: 9781091112452

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Half and half paper (dual designs) / Half Wide Ruled-Half Graph 5x5 Notebook: 8 x 10 inch (20.32 x 25.4 cm.) Half and half paper (dual designs) allow you to get creative. * There are lots of reasons someone may want mixed paper styles on one sheet. * Adults may like to plot designs, craft projects or solve engineering problems and write accompanying notes or draw sketches. * Kids may like to solve a math problem and describe how they solved it (or even write a story about the problem!) * The blank and lined papers can also be used as a story paper for writing practice. * Use your imagination to find functions for this paper in different niches. * This is the standard for composition or writing books for elementary school kids. * It can also be a good choice for the elderly, for people who have large handwriting and people with visual impairment. * It is also a good choice for 'casual' writing notebooks for teens. * 120 pages - 60 sheets Wide Rule: The horizontal spacing is 9/32" or 7.1 mm. Trim sizes with a width over 6"" include a margin ruled 1 1⁄4 inches (32 mm) from the left hand of the page. Smaller trim sizes do not include a margin. Quad Rule graph paper: also known as 'engineering' paper has five squares per inch, so each square measures .20" x .20" Have fun & enjoy this Notebook.