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Essential Mathematics for Engineers and Scientists

Author: Thomas J. Pence
Publisher: Cambridge University Press
ISBN: 1108670369
Category : Technology & Engineering
Languages : en
Pages : 757

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Book Description
This text is geared toward students who have an undergraduate degree or extensive coursework in engineering or the physical sciences and who wish to develop their understanding of the essential topics of applied mathematics. The methods covered in the chapters form the core of analysis in engineering and the physical sciences. Readers will learn the solutions, techniques, and approaches that they will use as academic researchers or industrial R&D specialists. For example, they will be able to understand the fundamentals behind the various scientific software packages that are used to solve technical problems (such as the equations describing the solid mechanics of complex structures or the fluid mechanics of short-term weather prediction and long-term climate change), which is crucial to working with such codes successfully. Detailed and numerous worked problems help to ensure a clear and well-paced introduction to applied mathematics. Computational challenge problems at the end of each chapter provide students with the opportunity for hands-on learning and help to ensure mastery of the concepts. Adaptable to one- and two-semester courses.

Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Mathematics in Grades 6-8

Author: Gwendolyn M. Lloyd
Publisher: National Council of Teachers of English
ISBN: 9780873536707
Category : Effective teaching
Languages : en
Pages : 116

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Book Description
Why do some equations have one solution, others two or even more solutions and some no solutions? Why do we sometimes need to ""switch"" the direction of an inequality symbol in solving an inequality? What could you say if a student described a function as an equation? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of expressions, equations and functions requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about expressions, equations and functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas - essential understandings. Taking you beyond a simple introduction to expressions, equations and functions, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students - and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students' understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

Essential Mathematics for Economic Analysis

Author: Knut Sydsaeter
Publisher: Financial Times/Prentice Hall
ISBN: 9780273760689
Category : Business & Economics
Languages : en
Pages : 745

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Book Description
He has been an editor of the Review of Economic Studies, of the Econometric Society Monograph Series, and has served on the editorial boards of Social Choice and Welfare and the Journal of Public. Economic Theory. He has published more than 100 academic papers in journals and books, mostly on economic theory and mathematical economics.Also available: "Further Mathematics for Economic Analysis published in a new 2ND EDITION " by Sydsater, Hammond, Seierstad and Strom (ISBN 9780273713289) Further Mathematics for Economic Analysis is a companion volume to Essential Mathematics for Economic Analysis intended for advanced undergraduate and graduate economics students whose requirements go beyond the material found in this text. Do you require just a couple of additional further topics? See the front of this text for information on our Custom Publishing Programme. 'The book is by far the best choice one can make for a course on mathematics for economists. It is exemplary in finding the right balance between mathematics and economic examples.' Dr. Roelof J. Stroeker, Erasmus University, Rotterdam. I have long been a fan of these books, most books on Maths for Economists are either mathematically unsound or very boring or both! Sydsaeter & Hammond certainly do not fall into either of these categories.' Ann Round, University of Warwick Visit www.pearsoned.co.uk/sydsaeter to access the companion website for this text including: *Student Manual with extended answers broken down step by step to selected problems in the text.*Excel supplement*Multiple choice questions for each chapter to self check your learning and receive automatic feedback

Self-Help to ICSE Essential Mathematics 6 (Solutions of Das Gupta)

Author: I.S. Chawla
Publisher: Ravinder Singh and sons
ISBN: 9388395476
Category : Education
Languages : en
Pages : 236

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Book Description
Latest and Revised Edition of Solutions of ICSE Essential Mathematics (Bharti Bhawan Das Gupta) For class 6 For 2021 examinations.

Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8

Author: Nathalie Sinclair
Publisher: National Council of Teachers of English
ISBN: 9780873536912
Category : Critical thinking
Languages : en
Pages : 96

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Book Description
Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic.

Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12

Author: Thomas J. Cooney
Publisher:
ISBN: 9780873536233
Category : Curriculum enrichment
Languages : en
Pages : 109

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Book Description
Are sequences functions? Why can’t the popular “vertical line test” be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? How much do you know… and how much do you need to know? Helping your high school students develop a robust understanding of functions requires that you understand mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to functions, this book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8

Author: Joanne Elizabeth Lobato
Publisher: National Council of Teachers of English
ISBN: 9780873536226
Category : Curriculum planning
Languages : en
Pages : 0

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Book Description
"A series for teaching mathematics."--P. [1] of cover.

Developing Essential Understanding of Statistics for Teaching Mathematics in Grades 6-8

Author: Gary Kader
Publisher: National
ISBN: 9780873536721
Category : Mathematical statistics
Languages : en
Pages : 112

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Book Description
How does working with data in statistics differ from working with numbers in mathematics? What is variability, and how can we describe and measure it? How can we display distributions of quantitative or categorical data? What is a data sample, and how can we choose one that will allow us to draw valid conclusions from data? How much do you know? and how much do you need to know? Helping your students develop a robust understanding of statistics requires that you understand fundamental statistical concepts deeply. But what does that mean? This book focuses on essential knowledge for mathematics teachers about statistics. It is organised around four big ideas, supported by multiple smaller, interconnected ideas. Taking you beyond a simple introduction to statistics, the book will broaden and deepen your understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

Essential Mathematics and Statistics for Science

Author: Dr. Graham Currell
Publisher: Wiley
ISBN: 9780470022290
Category : Science
Languages : en
Pages : 0

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Book Description
Basic Mathematics and Statistics for Science is a low-level introduction to the essential techniques students need to understand. It assumes little prior knowledge, and adopts a gentle approach that leads through examples in the book and website. No other text provides this range of educational support for science students. The integration between book and website provides study options that would be impossible through a book alone, and allows students to study in ways that suit their own circumstances and preferences. The combination of book and website also provides ready-prepared material for lectures, tutorials and computer practicals. Tutors can use the material to develop a variety of coherent programme using different learning styles. The book develops the mathematics and statistics through examples and questions that reflect the scientific context, and has succeeded in being relevant to a range of undergraduate science programmes.