Bridging the Gap to University Mathematics

Bridging the Gap to University Mathematics PDF Author: Edward Hurst
Publisher: Springer Science & Business Media
ISBN: 1848002904
Category : Mathematics
Languages : en
Pages : 347

Book Description
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 PDF Author: Colin McGregor
Publisher: Elsevier
ISBN: 0857092243
Category : Mathematics
Languages : en
Pages : 564

Book Description
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

System Modelling and Optimization

System Modelling and Optimization PDF Author: M.J.D. Powell
Publisher: Springer
ISBN: 0387355146
Category : Technology & Engineering
Languages : en
Pages : 348

Book Description
System Modelling and Optimization covers research issues within systems theory, optimization, modelling, and computing. It includes contributions to structural mechanics, integer programming, nonlinear programming, interior point methods, dynamical systems, stability analysis, stochastic optimization, bilevel optimization, and semidefinite programming. Several survey papers written by leading experts in their fields complement new developments in theory and applications. This book contains most of the invited papers and a few carefully selected submitted papers that were presented at the 19th IFIP TC7 Conference on System Modelling and Optimization, which was held in Cambridge, England, from July 12 to 16, 1999, and sponsored by the International Federation for Information Processing (IFIP).

Fuzzy Logic and Probability Applications

Fuzzy Logic and Probability Applications PDF Author: Timothy J. Ross
Publisher: SIAM
ISBN: 0898715253
Category : Mathematics
Languages : en
Pages : 424

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

Towards Higher Mathematics: A Companion

Towards Higher Mathematics: A Companion PDF Author: Richard Earl
Publisher: Cambridge University Press
ISBN: 1107162386
Category : Mathematics
Languages : en
Pages : 545

Book Description
This book allows students to stretch their mathematical abilities and bridges the gap between school and university.

Raising the Bar and Closing the Gap

Raising the Bar and Closing the Gap PDF Author: Richard DuFour
Publisher: Solution Tree Press
ISBN: 1935542397
Category : Education
Languages : en
Pages : 353

Book Description
This expansion of Whatever It Takes sharpens the focus on the pyramid of interventions strategy. The authors examine case studies of schools and districts across North America to illustrate how PLC at WorkTM is a sustainable and transferable process that ensures struggling students get the support they need to achieve. They address how to enrich and extend the learning of proficient students and explain how PLC intervention processes align with RTI legislation.

Mathematical Methods For Physics

Mathematical Methods For Physics PDF Author: H. W. Wyld
Publisher: CRC Press
ISBN: 0429978642
Category : Science
Languages : en
Pages : 395

Book Description
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 Gap Between Arithmetic & Algebra

Bridging the Gap Between Arithmetic & Algebra PDF Author: Bradley S. Witzel
Publisher:
ISBN: 9780865865099
Category : Education
Languages : en
Pages : 196

Book Description
Although two federal panels have concluded that all students can learn mathematics and most 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, this book is an essential reference for mathematics teaches and special education teachers when teaching mathematics to students who struggle with the critical concepts and skills necessary for success in algebra.

Bridging the Achievement Gap

Bridging the Achievement Gap PDF Author: John E. Chubb
Publisher: Rowman & Littlefield
ISBN: 9780815714026
Category : Education
Languages : en
Pages : 272

Book Description
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.

Linear Algebra and Matrix Theory

Linear Algebra and Matrix Theory PDF Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486623181
Category : Mathematics
Languages : en
Pages : 290

Book Description
Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.
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