Problem Solving is essential to solve real-world problems. Advanced Problem Solving with Maple: A First Course applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. It is intended for a course introducing students to mathematical topics they will revisit within their further studies. The authors present mathematical modeling and problem-solving topics using Maple as the computer algebra system for mathematical explorations, as well as obtaining plots that help readers perform analyses. The book presents cogent applications that demonstrate an effective use of Maple, provide discussions of the results obtained using Maple, and stimulate thought and analysis of additional applications. Highlights: The book’s real-world case studies prepare the student for modeling applications Bridges the study of topics and applications to various fields of mathematics, science, and engineering Features a flexible format and tiered approach offers courses for students at various levels The book can be used for students with only algebra or calculus behind them About the authors: Dr. William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his Ph.D. at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles. William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).
The text applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models.
Scenarios are developed within the scope of the problem-solving process. The text focuses on discrete dynamical systems, optimization techniques, single-variable unconstrained optimization and applied problems, and numerical search methods.
The authors wrote this book to develop the craft of mathematical modeling and to foster a desire for lifelong learning, habits of mind and develop competent and confident problem solvers and decision makers for the 21st century.
This book will appeal to both final year undergraduate and post-graduate students wishing to supplement a mathematics course or module in mathematical problem-solving and analysis.
Maple: with(LinearAlgebra): a:=0; b:=1; g:=x->exp(-x); K:=(x,t)->x*exp(t); lambda:=2; B0:=K(x,t); C0:=1; ... C4:=value(Int(Int(Int(Int(Determinant(DDF4),t1=a..b), t2=a..b),t3=a..b),t4=a..b)); DN:=K(x,t)+add((-1)^n/n!*B||n*lambda^n ...
This book is a compendium of the problems used in the annual Mathematical Contest in Modeling (MCM) run by the Consortium for Mathematics and its Applications (COMAP).
Readers will learn to solve similar problems by understanding and applying the techniques presented in the book. All programs used in the book are available to the reader in electronic form.
This accessible book helps readers to see the bigger picture of advanced mathematics. The book contains carefully selected, challenging problems in an easy-to-follow, step-by-step process.
This book is intended for use as a supplemental tool for courses in engineering mathematics, applied ordinary and partial differential equations, vector analysis, applied complex analysis, and other advanced courses...
MAPLE is an excellent technology for mathematics and operations research majors. Its power and graphical interface in two and three dimensions make it an excellent tool. R is a free software programming language and a software ...