Language : English
Published : 2007
Pages : 382
Introduction to Calculus and Matrix Algebra with Applications in Finance 2nd Edition
This Very Short Introduction explores the rich historical and cultural diversity of mathematical practice, ranging from the distant past to the present. Historian Jacqueline Stedall shows that mathematical ideas are far from being fixed, but are adapted and changed by their passage across periods and cultures. The book illuminates some of the varied contexts in which people have learned, used, and handed on mathematics, drawing on fascinating case studies from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain. By drawing out some common threads, Stedall provides an introduction not only to the mathematics of the past but to the history of mathematics as a modern academic discipline.
The new Mathematics General syllabus describes two pathways that start in Year 11. Even though both pathways share a common Preliminary course, students taking each pathway have specific learning needs, so we have published two levels of text for both Years 11 and 12. New Century Maths 11 (Pathway 1) has been written for the new Mathematics General course commencing in 2013. This book caters for students who have completed Stage 5.1 by the end of Year 10 and are headed towards the workforce or further training after school. The book encourages the development of practical mathematical skills for life. It supports a vocational pathway that is content-endorsed but not HSC-examinable. This book includes access to the NelsonNet password-protected website which contains student and teacher resources for schools that use New Century Maths 11 as a core resource. To download a sample chapter, Earning money, click the Download Sample Material button. The corresponding Year 12 text, New Century Maths 12 General Mathematics 1 HSC Course, will be available in mid 2013. Please visit www.newcenturymaths.com.au for updates or contact your local sales representative for more details.
Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 5th Edition delivers an excellent balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem-solving process to enhance students’ problem-solving capabilities — whatever their level. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible — beginning with short projects — the book facilitates their progressive development and confidence in mathematics and modeling.
About the Author
Frank R. Giordano began his teaching career at the United States Military Academy, West Point, New York, where he served for 21 years, including seven years as professor and head of the Department of Mathematical Sciences. He currently is a Professor of Defense Analysis and Operations Research at the Naval Postgraduate School, Monterey, CA. He has served as project director for several major National Science Foundation grants devoted to modeling, including one to initiate a high school modeling contest (the HiMCM). For the past 15 years, he has served as the director of the Mathematical Contest in Modeling. Frank R. Giordano began his teaching career at the United States Military Academy, West Point, New York, where he served for 21 years, including seven years as professor and head of the Department of Mathematical Sciences. He currently is a Professor of Defense Analysis and Operations Research at the Naval Postgraduate School, Monterey, CA. He has served as project director for several major National Science Foundation grants devoted to modeling, including one to initiate a high school modeling contest (the HiMCM). For the past 15 years, he has served as the director of the Mathematical Contest in Modeling.
William P. Fox is a professor in the Department of Defense Analysis at the Naval Postgraduate School in Monterey, CA. Previously; he was an instructor, assistant professor, associate professor, and professor of operations research while serving in the Department of Mathematical Sciences at the United States Military Academy (USMA) for more than 12 years. He also served as the Chair of Mathematics at Francis Marion University for eight years before coming to the Naval Postgraduate School. Dr. Fox has taught a variety of mathematics courses in his career, and his areas of interest include mathematical modeling, optimization, statistics, and simulations. He holds his undergraduate degree from USMA, a master’s degree from the Naval Postgraduate School, and a Ph.D. from Clemson University.
Steven B. Horton is professor of operations research and acting deputy head in the Department of Mathematical Sciences at the United States Military Academy (USMA), West Point. He has taught a variety of mathematics courses at West Point since joining the faculty in 1991. Dr. Horton holds his undergraduate degree from USMA, master’s degrees from Georgia Tech and the National Defense University, and a Ph.D. from Georgia Tech.
This text is a study of limits and continuity, and is designed to supplement standard calculus texts. It discusses limits and continuity in several different ways, since students gain understanding through comparison.
Continuity of a function and limit of a sequence are introduced before limit of a function. It is hoped that the student will gain momentum while studying these easier concepts so that when he reaches the difficult concepts of deleted neighborhood, limit point, and limit of a function, he will not lose sight of the simple pattern underlying the limit.