This is a series of five books each covering a separate unit of the Advanced Higher course. This unit structure gives you the flexibility to put together a complete course or to offer separate units of study.
Exam Board: SQALevel: HigherSubject: MathsFirst Teaching: 2015, First Exam: 2016 The Advanced Higher Maths Student Book helps teachers and students map their route through the CfE programme, providing comprehensive and authoritative guidance for the course. * Full coverage of the new Advanced Higher course specifications with list of learning intentions* Attractive layout with clear text features* Key questions highlight crucial concepts and techniques that need to be grasped by students in order to progress to the next learning intention* What the examiner/assessor is looking for to help teachers & students feel secure* End of unit material - unit assessment, exam-style questions with worked answers and examiners commentary, self-assessment Student Books give a practical, supportive approach to help deliver the new curriculum and offer a blend of sound teaching and learning with assessment guidance.
This is a series of five books each covering a separate unit of the Advanced Higher course. This unit structure gives you the flexibility to put together a complete course or to offer separate units of study.
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.
Exam board: SQA Level: Advanced Higher Subject: Mathematics First teaching: August 2019 First exam: Summer 2021 Trust Scotland's most popular revision guides to deliver the results you want. The How to Pass series is chosen by students, parents and teachers again and again. b” Recap and remember course content. /bConcise summaries and diagrams cover the important points for each Key Area in the latest SQA specification.brbrb” Test your skills and knowledge.b” Practise exam-style questions. /bFormal questions with mark allocations are provided at the end of each Key Area, reflecting the types of questions you will face in the exam.brbrb” Get expert tips for exam success.b” Teach yourself with confidence. b” Plan and manage your revision. /bChecklists for each Key Area enable you to benchmark your progress against SQA's assessment standards and make sure you're on track to get the grades you need.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Exam board: SQA Level: Advanced Higher Subject: Biology First teaching: August 2019 First exam: Summer 2021 Trust Scotland's most popular revision guides to deliver the results you want. The How to Pass series is chosen by students, parents and teachers again and again. This is the only study book that addresses the skills for Advanced Higher Biology, as well as the knowledge. B” Recap and remember course content. B” Test your skills and knowledge. B” Practise exam-style questions. /BFormal questions with mark allocations are provided at the end of each Key Area, reflecting the types of questions you will face in the exam. Three course assessments are also included.brbrB” Get expert tips for exam success. /BHints on how to achieve top marks and avoid mistakes are based on feedback in the SQA examiners' Course Reports, giving you insight into the marking process.brbrB” Teach yourself with confidence. /BIndependent study has never been easier with clear explanations, definitions of technical terms and answers to all questions at the back of the book.br
This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.
A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using quantifiers. Students will solve many puzzles and encounter some mysteries and challenging problems. The emphasis is on proof. To progress towards mathematical maturity, it is necessary to be trained in two aspects: the ability to read and understand a proof and the ability to write a proof. The journey begins with elements of logic and techniques of proof, then with elementary set theory, relations and functions. Peano axioms for positive integers and for natural numbers follow, in particular mathematical and other forms of induction. Next is the construction of integers including some elementary number theory. The notions of finite and infinite sets, cardinality of counting techniques and combinatorics illustrate more techniques of proof. For more advanced readers, the text concludes with sets of rational numbers, the set of reals and the set of complex numbers. Topics, like Zorn’s lemma and the axiom of choice are included. More challenging problems are marked with a star. All these materials are optional, depending on the instructor and the goals of the course.
Developed for those following the Statistics 1 unit within the Mathematics and Applied Mathematics courses at Advanced Higher Level, this title is part of a series of five covering the Advanced Higher units in Mathematics and Statistics. All the books in the series pprovide: a straightforward route through the course with complete and ordered coverage of the units; numerous questions for practice and consolidation; thorough preparation for end-of-unit and end of course assessments.