Indexes the Times and its supplements.

This is a collection of the 2002-2005 official SQA past papers for Advanced Higher mathematics. A comprehensive answer section shows exactly what examiners are looking for and how to aim for the best grade.

Intermediate 1 Maths offers an attractive and motivating textbook designed to enthuse students. Attractively illustrated with colour coded explanations and worked examples, the book brings Maths into real-life contexts with activities that make the subject relevant to Intermediate 1 students, whilst offering comprehensive coverage of the syllabus in a focused and concise manner. There is an extensive range of relevant exam-style questions and assessment items to prepare for examination. A CD is included with the book, containing answers to all of the student exercises. The disc can be retained for use solely by the teacher, or released for student self-access according to preferred teaching and assessment strategies. The book covers all the outcomes in the four units of the Intermediate 1 Mathematics course, i.e. units 1, 2, 3 and the Applications of Mathematics unit. Each chapter concentrates on the required learning outcomes with questions, exercises, and end of topic summaries. Questions are designed to help students prepare and practise for unit tests, and the final exam features prominently throughout the book, whilst students are directed to the relevant chapters of the course depending on which units they are studying. Attention is given to both calculator and non-calculator examples in line with the two papers which make up the final exam, and each chapter contains student exercises (with answers supplied). A summary appears at the end of each chapter telling students what they should be able to do.

The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems. To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated. Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book. The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic $K$-theory and the s-cobordism theorem. A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the “big picture”, teaches them how to give mathematical lectures, and prepares them for participating in research seminars. The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.

Exam Board: SQA Level: National 5 Subject: Maths First Teaching: 2017, First Exam: 2018 The National 5 Applications of Maths Student Book helps teachers and students map their route through the CfE programme, providing comprehensive and authoritative guidance for the course.

Exam Board: SQA Level: National 4 Subject: Maths First Teaching: September 2013 First Exam: June 2014 Teach lessons that suit the individual needs of your students with this SQA endorsed and flexibly structured resource that provides a suggested approach through all three units. This textbook completely covers the latest National 4 syllabus. Each chapter includes summaries of key points and worked examples with explanatory notes showing how skills are applied. Section Reviews presented in non-calculator and calculator formats provide students with the opportunity to consolidate skills acquired over a number of chapters. There are plenty of exercises and invaluable exam practice throughout to help build confidence and knowledge. Although core answers are provided int he textbook, a corresponding teacher's 'Answers and Assessment' book is also available, including expanded answers plus sample assessmernt material for practice. - Covers the new specification with all the new topics in the SQA examinations - Provides thorough exam preparation, with graded Practice Exercises - Organised to make it easy to plan, manage and monitor student progress