Bridging the Gap to University Mathematics

Bridging the Gap to University Mathematics

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  • Author: Edward Hurst
  • Publisher: Springer Science & Business Media
  • ISBN: 1848002904
  • Category : Mathematics
  • Languages : en
  • Pages : 347

Helps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete. A range of exercises, complete with full solutions, makes the book ideal for self-study.


Fundamentals of University Mathematics

Fundamentals of University Mathematics

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  • Author: Colin McGregor
  • Publisher: Elsevier
  • ISBN: 0857092243
  • Category : Mathematics
  • Languages : en
  • Pages : 564

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems.The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. One volume, unified treatment of essential topics Clearly and comprehensively covers material beyond standard textbooks Worked examples, challenges and exercises throughout


Mathematical Methods For Physics

Mathematical Methods For Physics

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  • Author: H. W. Wyld
  • Publisher: CRC Press
  • ISBN: 0429978642
  • Category : Science
  • Languages : en
  • Pages : 296

This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.


Bridging the Achievement Gap

Bridging the Achievement Gap

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  • Author: John E. Chubb
  • Publisher: Rowman & Littlefield
  • ISBN: 9780815714026
  • Category : Education
  • Languages : en
  • Pages : 272

The achievement gap between white students and African American and Hispanic students has been debated by scholars and lamented by policymakers since it was first documented in 1966. The average black or Hispanic secondary school student currently achieves at about the same level as the average white student in the lowest quartile of white achievement. Black and Hispanic students are much less likely than white students to graduate from high school, acquire a college or advanced degree, or earn a middle-class living. They are also much more likely than whites to suffer social problems that often accompany low income. While educators have gained an understanding of the causes and effects of the education achievement gap, they have been less successful in finding ways to eliminate it—until now. This book provides, for the first time in one place, evidence that the achievement gap can be bridged. A variety of schools and school reforms are boosting the achievement of black and Hispanic students to levels nearing those of whites. Bridging the Achievement Gap brings together the findings of renowned education scholars who show how various states, school districts, and individual schools have lifted the achievement levels of poor and minority students. The most promising strategies include focusing on core academic skills, reducing class size, enrolling students in more challenging courses, administering annual achievement assessment tests, creating schools with a culture of competition and success, and offering vouchers in big-city school districts. While implementing new educational programs on a large scale is fraught with difficulties, these successful reform efforts offer what could be the start of widespread effective solutions for bridging the achievement gap.


Mathematics Curriculum Topic Study

Mathematics Curriculum Topic Study

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  • Author: Page Keeley
  • Publisher: Corwin Press
  • ISBN: 1452208743
  • Category : Education
  • Languages : en
  • Pages : 257

The Curriculum Topic Study (CTS) process provides a professional development strategy that links mathematics standards and research to curriculum, instruction, and assessment.


Bridging the Gap Between Arithmetic & Algebra

Bridging the Gap Between Arithmetic & Algebra

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  • Author: Bradley S. Witzel
  • Publisher: Council For Exceptional Children
  • ISBN: 0865865086
  • Category : Education
  • Languages : en
  • Pages : 200

Although two federal panels have concluded that all students can learn mathematics and most can succeed through Algebra 2, the abstractness of algebra and missing precursor understandings may be overwhelming to many students … and their teachers. Bridging the Gap Between Arithmetic & Algebra responds to this need for instruction and interventions that go beyond typical math lesson plans. Providing a review of evidence-based practices, the book is an essential reference for mathematics teachers and special education teachers when teaching mathematics to students who struggle with the critical concepts and skills necessary for success in algebra. Audiences: General education (mathematics) teachers, special education teachers, administrators, teacher educators.


Fuzzy Logic and Probability Applications

Fuzzy Logic and Probability Applications

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  • Author: Timothy J. Ross
  • Publisher: SIAM
  • ISBN: 0898715253
  • Category : Mathematics
  • Languages : en
  • Pages : 424

Shows both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two.


Mathematics

Mathematics

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  • Author: Alexandru Buium
  • Publisher: CRC Press
  • ISBN: 1482216019
  • Category : Mathematics
  • Languages : en
  • Pages : 208

Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, Mathematics: A Minimal Introduction presents an undergraduate-level introduction to pure mathematics and basic concepts of logic. The author builds logic and mathematics from scratch using essentially no background except natural language. He also carefully avoids circularities that are often encountered in related books and places special emphasis on separating the language of mathematics from metalanguage and eliminating semantics from set theory. The first part of the text focuses on pre-mathematical logic, including syntax, semantics, and inference. The author develops these topics entirely outside the mathematical paradigm. In the second part, the discussion of mathematics starts with axiomatic set theory and ends with advanced topics, such as the geometry of cubics, real and p-adic analysis, and the quadratic reciprocity law. The final part covers mathematical logic and offers a brief introduction to model theory and incompleteness. Taking a formalist approach to the subject, this text shows students how to reconstruct mathematics from language itself. It helps them understand the mathematical discourse needed to advance in the field.


Towards Higher Mathematics: A Companion

Towards Higher Mathematics: A Companion

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  • Author: Richard Earl
  • Publisher: Cambridge University Press
  • ISBN: 1108327184
  • Category : Mathematics
  • Languages : en
  • Pages : 546

Containing a large and varied set of problems, this rich resource will allow students to stretch their mathematical abilities beyond the school syllabus, and bridge the gap to university-level mathematics. Many proofs are provided to better equip students for the transition to university. The author covers substantial extension material using the language of sixth form mathematics, thus enabling students to understand the more complex material. Exercises are carefully chosen to introduce students to some central ideas, without building up large amounts of abstract technology. There are over 1500 carefully graded exercises, with hints included in the text, and solutions available online. Historical and contextual asides highlight each area of mathematics and show how it has developed over time.


Comprehensive Mathematics for Computer Scientists 1

Comprehensive Mathematics for Computer Scientists 1

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  • Author: Guerino Mazzola
  • Publisher: Springer Science & Business Media
  • ISBN: 3540368744
  • Category : Computers
  • Languages : en
  • Pages : 388

Contains all the mathematics that computer scientists need to know in one place.