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Differential Calculus lies at the heart of most technical and scientific subjects. This book can be used to teach differentiation as a course text, a revision or remedial guide, or as a self-teaching work. The author has designed the book to be a flexible learning tool, suitable for A-Level students as well as other students in higher and further education whose courses include a substantial maths component (e.g. BTEC or GNVQ science and engineering courses). Verity Carr has accumulated nearly thirty years of experience teaching mathematics at all levels and has a rare gift for making mathematics simple and enjoyable. At Brooklands College, she has taken a leading role in the development of a highly successful Mathematics Workshop. This series of Made Simple Maths books widens her audience but continues to provide the kind of straightforward and logical approach she has developed over her years of teaching.
Offers classroom management tools and generic questions and activities to help teachers adapt instruction to meet individual needs within their classrooms.
Dr Richard Beard started off as a Science Teacher at Codsall Community High School, Staffordshire, UK and progressed to being an Advanced Skills Teacher (AST), Gifted & Talented and Science, Technology, Engineering and Mathematics (STEM) Co-ordinator. This supportive role continued for four years and across all subjects within a mixture of age ranges as part of the Codsall High School Federation of Schools. Throughout this period, Richard worked within an outstanding and innovative leadership team to help raise the quality of teaching rapidly from Satisfactory (2007) to Outstanding (2010). In three short years, the team had worked to complete a meteoric rise in the quality of Teaching & Learning. Richard's work during this time and in the present day is heavily influenced by Assessment for learning (AfL). He realised that training related to planning and the use of AfL lacked the simple approach. Confusion often reigned over what is good practice especially in teachers just joining the profession. From this, Outstanding-lessons-made-simple.co.uk was created in the aim of promoting the simple approach: The Outstanding Lesson Framework. The framework was designed to help teachers discover a simple and effective way to teach. The aim being that all teachers can deliver good and outstanding lessons all the time not just in observations with the simple backbone to good teaching: AfL. At the present time, the framework provides the basis for the improvement of the quality of Teaching & Learning across all of the schools Richard has worked at. He continues to use it as an Assistant Headteacher in charge of Teaching & Learning at The Marches School in Oswestry, Shropshire (Outstanding, Ofsted, 2010) whilst he regularly delivers training on the framework and its use to improve the quality of Teaching & Learning across different schools.
This book is about tensor analysis. It consists of 169 pages. The language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning.
Perhaps uniquely among mathematical topics, complex analysis presents the student with the opportunity to learn a thoroughly developed subject that is rich in both theory and applications. Even in an introductory course, the theorems and techniques can have elegant formulations. But for any of these profound results, the student is often left asking: What does it really mean? Where does it come from? In Complex Made Simple, David Ullrich shows the student how to think like an analyst. In many cases, results are discovered or derived, with an explanation of how the students might have found the theorem on their own. Ullrich explains why a proof works. He will also, sometimes, explain why a tempting idea does not work. Complex Made Simple looks at the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains.Ullrich also takes considerable care to discuss the modular group, modular function, and covering maps, which become important ingredients in his modern treatment of the often-overlooked original proof of the Big Picard Theorem. This book is suitable for a first-year course in complex analysis. The exposition is aimed directly at the students, with plenty of details included. The prerequisite is a good course in advanced calculus or undergraduate analysis.
Know Thy Students is your window to optimizing student learning through differentiation. Truly effective differentiation has eluded and perplexed educators for too long. The Know Thy Students system discusses how to logically and easily meet your students' needs through intentionally differentiated instruction.

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