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The Essential VCE Mathematics series has a reputation for mathematical excellence, with an approach developed over many years by a highly regarded author team of practising teachers and mathematicians. This approach encourages understanding through a wealth of examples and exercises, with an emphasis on VCE examination-style questions. New in the Essential Mathematical Methods CAS Units 1&2 Enhanced Version: • A chapter of up-to-date revision questions for the whole book has been added • TI-Nspire OS3 and Casio ClassPad calculator explanations, examples and problems are integrated into the text. • Page numbers in the printed text reflect the previous TI-nspire and Casio ClassPad version allowing for continuity and compatibility. • Digital versions of the student text are available in Interactive HTML and PDF formats through Cambridge GO.
Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
"The second edition of MathsWorld Mathematical Methods CAS Units 3 4 has been prepared for the CAS course and includes support for both the TI-Nspire CAS and the CASIO Classpad.Key features:refreshed, easy-to-use designwell-structured theory and exerciseswritten by the leaders in the field the authors have been at the cutting edge of CAS technology from the beginning.website support for the CAS materials with Ask Dr CAS helpful CAS screenshots and examples using both the TI-Nspire CA
This volume contains papers from the Second International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The intended audience includes policy makers, curriculum developers, researchers, teachers, teacher trainers, and anyone else interested in school mathematics curricula.
This book is designed to help the students familiarise and get accustomed to the functions of the CAS Calculator; to maximize efficiency and explore skills beyond their imagination. It will be one of the most useful booklet / resources for your VCE journey!
This is the eighth edition of the four-yearly review of mathematics education research in Australasia. Commissioned by the Mathematics Education Research Group of Australasia (MERGA), this review critiques the most current Australasian research in mathematics education in the four years from 2008-2011. The main objective of this review is to celebrate and recognise significant findings; highlight relationships between research; identify themes; and forecast further research directions. This theme-based review has produced a comprehensive analysis of Australasian research in a politically challenging time—producing a manuscript with implications for a wider, international, audience. As the 2009 Felix Klein medal winner Gilah Leder states: A substantial body of research is captured in the chapters of this review. It encompasses the labours of a community of active researchers, with varied interests and diverse theoretical perspectives. Some of the issues explored in the period covered by this volume clearly resonate with questions and concerns particularly pertinent to the changing educational environment; others are more aptly described as continuing or renewed explorations of areas of long standing concern.
Mathematics of Computing -- General.