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OCR A Level Further Mathematics Core Year 2

Exam Board: OCRLevel: A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2018An OCR endorsed textbookGrow your students' confidence in applying mathematical techniques to solving problems with resources developed specifically for the OCR specification subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance individual understanding with discussion points designed for the classroom.- Consolidate understanding with end of chapter summaries of the key points.- Provide clear paths of progression that combine pure and applied maths into a coherent whole.- Reinforce Year 1 content with short review chapters - Year 2 only

Copyright: 2017

ISBN: 9781510448599

Features:

OCR A Level Further Mathematics Discrete

by Nick Geere

Student eTextbooks are downloadable versions of the printed textbook, purchased on a copy-by-copy basis and allocated to students through Dynamic Learning. Our Student eTextbooks link seamlessly with MEI Integral Further Mathematics online resources, allowing you to move with ease between corresponding topics in the eTextbooks and Integral.Integral has been developed by MEI and supports teachers and students with high quality teaching and learning activities, including dynamic resources and self-marking tests and assessments that cover the new specifications.To have full access to the eTextbooks and Integral resources you must be subscribed to both Dynamic Learning and Integral. To subscribe to Integral, visit www.integralmaths.org. For more information on our eTextbooks and Integral please see the Quick Links box.Provide full support for the OCR Discrete content of the new specification with worked examples, stimulating activities and assessment support to help develop understanding, reasoning and problem solving. - Help prepare students for assessment with skills-building activities and fully worked examples and solutions tailored to the changed criteria.- Build understanding through carefully worded expositions that set out the basics and the detail of each topic, with call-outs to add clarity.- Test knowledge and develop understanding, reasoning and problem solving with banded Exercise questions that increase in difficulty (answers provided in the back of the book and online). - Gain a full understanding of the logical steps that are used in creating each individual algorithm - Encourages students to track their progress using learning outcomes and Key Points listed at the end of each chapter.

Copyright: 2018

ISBN: 9781510434479

Features:

OCR A Level Further Mathematics Mechanics

by Jean-Paul Muscat

Grow your students' confidence in applying mathematical techniques to solving problems with resources developed specifically for the OCR specification by subject specialists and MEI (Mathematics in Education and Industry).- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance individual understanding with discussion points designed for the classroom.- Consolidate understanding with end of chapter summaries of the key points.

Copyright: 2017

ISBN: 9781510434547

Features:

OCR A Level Further Mathematics Statistics

by John du Feu

Achieve your full potential with learning materials that guide you through the Statistics content of the new AS and A-level Further Maths specifications; developed by subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Ensure targeted development of reasoning and problem-solving skills with plenty of practice questions and structured exercises that build statistical skills and techniques.- Identify connections between topics, with real-world contexts to help develop modelling skills, thus providing a fuller and more coherent understanding of statistical concepts.- Address the new statistics requirements with questions around the use of large data sets. - Cover the use of technology in mathematics with a variety of questions based around the use of spreadsheets, graphing software and graphical calculators. - Overcome misconceptions and develop insight into problem solving with annotated worked examples.

Copyright: 2018

ISBN: 9781510434608

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OCR A Level Further Mathematics Year 1 (AS): For Core Year 1 And As

by Ben Sparks Claire Baldwin

Grow your students' confidence in applying mathematical techniques to solving problems with resources developed specifically for the OCR specification subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Develop reasoning and problem-solving skills with practice questions and differentiated exercises that build mathematical techniques.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance individual understanding with discussion points designed for the classroom.- Consolidate understanding with end of chapter summaries of the key points.- Provide clear paths of progression that combine pure and applied maths into a coherent whole.

Copyright: 2017

ISBN: 9781510434509

Features: Contains images

OCR A Level Mathematics Year 1 (AS)

by Val Hanrahan Sophie Goldie Cath Moore Jean-Paul Muscat Susan Whitehouse

Boost your students' knowledge, skills and understanding so that they can reason and apply mathematical techniques in solving problems; with resources developed specifically for the OCR specification by subject experts and in conjunction with MEI (Mathematics in Education and Industry).- Boosts students' confidence approaching assessment with plenty of practice questions and skill-focused exercises.- Build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics. - Ensure targeted development of problem-solving, proof and modelling with dedicated sections on these key areas.- Help students to overcome misconceptions and develop insight into problem-solving with annotated worked examples.- Enhance individual understanding with discussion points designed for the classroom and end of chapter summaries of the key points.- Tackle the new statistics requirements with five dedicated statistics chapters and questions around the use of large data sets. - Address the use of technology in Mathematics with a variety of questions based around the use of spreadsheets, graphing software and graphing calculators. - Provide clear paths of progression that combine pure and applied maths into a coherent whole.

Copyright: 2017

ISBN: 9781510434516

Features:

OCR A Level Mathematics Year 2

by Val Hanrahan Sophie Goldie Cath Moore Jean-Paul Muscat Susan Whitehouse

Copyright: 2018

ISBN: 9781510434561

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OCR Level 3 Free Standing Mathematics Qualification: Additional Maths (2nd edition)

by Val Hanrahan Andrew Ginty

Exam Board: OCRLevel: Free Standing Mathematics QualificationSubject: Additional MathematicsFirst Teaching: September 2018First Exam: Summer 2019Enhance the skills learnt at GCSE and build the confidence to tackle higher-level Mathematics using this comprehensive textbook, tailored to the new OCR Additional Mathematics specification (2018).· Consolidate GCSE Maths skills and prepare for A-level using hundreds of questions designed to bridge the gap between Key Stages 4 and 5.· Expand on GCSE knowledge and confidently tackle new concepts with clear introductions to every topic and plenty of worked examples throughout.· Boost performance in Additional Maths and A-level Maths with expert guidance from subject specialists with extensive examining experience.· Save time planning lessons using our free schemes of work that link to the relevant Integral resources.· Approach your final assessment with confidence, by completing two full practice papers at the end of the book.

Copyright: 2019

ISBN: 9781510449664

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ODE/IM Correspondence and Quantum Periods (SpringerBriefs in Mathematical Physics #51)

by Katsushi Ito Hongfei Shu

This book is intended to review some recent developments in quantum field theories and integrable models. The ODE/IM correspondence, which is a nontrivial relation between the spectral analysis of ordinary differential equations and the functional relation approach to two-dimensional quantum integrable models, is the main subject. This correspondence was first discovered by Dorey and Tateo (and Bazhanov, Lukyanov, and Zamolodchikov) in 1998, where the relation between the Schrodinger equation with a monomial potential and the functional equation called the Y-system was found. This correspondence is an example of the mysterious link between classical and quantum integrable systems, which produces many interesting applications in mathematical physics, including exact WKB analysis, the quantum Seiberg–Witten curve, and the AdS–CFT correspondence. In this book, the authors explain some basic notions of the ODE/IM correspondence, where the ODE can be formulated as a linear problem associated with affine Toda field equations. The authors then apply the approach of the ODE/IM correspondence to the exact WKB periods in quantum mechanics with a polynomial potential. Deformation of the potential leads to wall-crossing phenomena in the TBA equations. The exact WKB periods can also be regarded as the quantum periods of the four-dimensional N=2 supersymmetric gauge theories in the Nekrasov–Shatashvili limit of the Omega background. The authors also explain the massive version of the ODE/IM correspondence based on the affine Toda field equations, which also has an application to the minimal surface, and the gluon scattering amplitudes in the AdS/CFT correspondence.

Copyright: 2025

ISBN: 9789819604999

Features: Contains images

ODE/PDE Analysis of Multiple Myeloma: Programming in R

by William E. Schiesser

Multiple myeloma is a form of bone cancer. Specifically, it is a cancer of the plasma cells found in bone marrow (bone soft tissue). Normal plasma cells are an important part of the immune system. Mathematical models for multiple myeloma based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed ODE/PDE model in Chapter 4 that gives the spatiotemporal distribution of four dependent variable components in the bone marrow and peripheral blood: (1) protein produced by multiple myeloma cells, termed the M protein, (2) cytotoxic T lymphocytes (CTLs), (3) natural killer (NK) cells, and (4) regulatory T cells (Tregs). The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers using the R routines that are available through a download. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences.

Copyright: 2020

ISBN: 9781000057270

Features: Contains images