A Second Course in Elementary Differential Equations
A Second Course in Elementary Differential Equations

Author: Paul Waltman

Publisher: Elsevier

Published: 2014-05-10

Total Pages: 272

ISBN-13: 1483276600

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A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.

Daily Routines to Jump-Start Math Class, Elementary School
Daily Routines to Jump-Start Math Class, Elementary School

Author: John J. SanGiovanni

Publisher: Corwin Press

Published: 2019-08-06

Total Pages: 193

ISBN-13: 154437495X

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Do your students need more practice to develop number sense and reasoning? Are you looking to engage your students with activities that are uncomplicated, worthwhile, and doable? Have you had success with number talks but do your students crave more variety? Have you ever thought, "What can I do differently?" Swap out traditional warmup practices and captivate your elementary students with these new, innovative, and ready-to-go routines! Trusted elementary math expert John J. SanGiovanni details 20 classroom-proven practice routines to help you ignite student engagement, reinforce learning, and prepare students for the lesson ahead. Each quick and lively activity spurs mathematics discussion and provides a structure for talking about numbers, number concepts, and number sense. Designed to jump-start mathematics reasoning in any elementary classroom, the routines are: Rich with content-specific examples and extensions Modifiable to work with math content at any K-5 grade level Compatible with any textbook or core mathematics curriculum Practical, easy-to-implement, and flexible for use as a warm-up or other activity Accompanied by online slides and video demonstrations, the easy 5–10 minute routines become your go-to materials for a year’s work of daily plug-and-play short-burst reasoning and fluency instruction that reinforces learning and instills mathematics confidence in students. Students’ brains are most ready to learn in the first few minutes of math class. Give math practice routines a makeover in your classroom with these 20 meaningful and energizing warmups for learning crucial mathematics skills and concepts, and make every minute count.

Early Literacy Skills Builder
Early Literacy Skills Builder

Author:

Publisher:

Published: 2010-09-01

Total Pages:

ISBN-13: 9781578616329

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Apply the "science" of reading to students with moderate-to-severe developmental disabilities, including autismThe Early Literacy Skills Builder program incorporates systematic instruction to teach both print and phonemic awareness. ELSB is a multi-year program with seven distinct levels and ongoing assessments so students progress at their own pace.Five years of solid research have been completed through the University of North Carolina at Charlotte, proving ELSB to be a highly effective literacy program and more effective than a sight-word only program. ELSB is based upon the principles of systematic and direct instruction. It incorporates scripted lessons, least-prompt strategies, teachable objectives, built-in lesson repetition, and ongoing assessments. The seven ELSB levels contain five structured lessons each. All students begin at Level 1. If a student struggles here, go back and administer Level A. Instruction is one-on-one or in small groups. Teach scripted lessons daily in two 30-minute sessions. On the completion of each level, formal assessments are given. ELSB includes everything you need to implement a multi-year literacy curriculum.

An Elementary Introduction to the Wolfram Language
An Elementary Introduction to the Wolfram Language

Author: Stephen Wolfram

Publisher: Wolfram Research, Incorporated

Published: 2017

Total Pages: 0

ISBN-13: 9781944183059

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The Wolfram Language represents a major advance in programming languages that makes leading-edge computation accessible to everyone. Unique in its approach of building in vast knowledge and automation, the Wolfram Language scales from a single line of easy-to-understand interactive code to million-line production systems. This book provides an elementary introduction to the Wolfram Language and modern computational thinking. It assumes no prior knowledge of programming, and is suitable for both technical and non-technical college and high-school students, as well as anyone with an interest in the latest technology and its practical application.

Clockwise
Clockwise

Author: Heather Potten

Publisher: Oxford

Published: 2001-01-01

Total Pages: 80

ISBN-13: 9780194340977

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Designed for learners who want to make effective progress in a short time, this course concentrates on developing fluency, refreshing key grammar areas, and extending vocabulary. 40-60 hours per level.

Not Always Buried Deep
Not Always Buried Deep

Author: Paul Pollack

Publisher: American Mathematical Soc.

Published: 2009-10-14

Total Pages: 322

ISBN-13: 0821848801

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Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical background. Solving such problems sometimes requires difficult and deep methods. But this is not a universal phenomenon; many engaging problems can be successfully attacked with little more than one's mathematical bare hands. In this case one says that the problem can be solved in an elementary way. Such elementary methods and the problems to which they apply are the subject of this book. Not Always Buried Deep is designed to be read and enjoyed by those who wish to explore elementary methods in modern number theory. The heart of the book is a thorough introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem. Rather than trying to present a comprehensive treatise, Pollack focuses on topics that are particularly attractive and accessible. Other topics covered include Gauss's theory of cyclotomy and its applications to rational reciprocity laws, Hilbert's solution to Waring's problem, and modern work on perfect numbers. The nature of the material means that little is required in terms of prerequisites: The reader is expected to have prior familiarity with number theory at the level of an undergraduate course and a first course in modern algebra (covering groups, rings, and fields). The exposition is complemented by over 200 exercises and 400 references.