Umap Modules

Table of Contents (modules):The Resilience of Grassland EcosystemsSmall Mammal DispersionMicrocosm to Macrocosm: Population Models in Biology and DemographyMultiple Reduction Copy Machines and FractalsApplications of Sequences and Limits in Calculus

Mathematical Modeling, Third Edition is a general introduction to an increasingly crucial topic for today's mathematicians. Unlike textbooks focused on one kind of mathematical model, this book covers the broad spectrum of modeling problems, from optimization to dynamical systems to stochastic processes. Mathematical modeling is the link between mathematics and the rest of the world. Meerschaert shows how to refine a question, phrasing it in precise mathematical terms. Then he encourages students to reverse the process, translating the mathematical solution back into a comprehensible, useful answer to the original question. This textbook mirrors the process professionals must follow in solving complex problems. Each chapter in this book is followed by a set of challenging exercises. These exercises require significant effort on the part of the student, as well as a certain amount of creativity. Meerschaert did not invent the problems in this book--they are real problems, not designed to illustrate the use of any particular mathematical technique. Meerschaert's emphasis on principles and general techniques offers students the mathematical background they need to model problems in a wide range of disciplines. Increased support for instructors, including MATLAB material New sections on time series analysis and diffusion models Additional problems with international focus such as whale and dolphin populations, plus updated optimization problems

The new edition of Mathematical Modeling, the survey text of choice for mathematical modeling courses, adds ample instructor support and online delivery for solutions manuals and software ancillaries. From genetic engineering to hurricane prediction, mathematical models guide much of the decision making in our society. If the assumptions and methods underlying the modeling are flawed, the outcome can be disastrously poor. With mathematical modeling growing rapidly in so many scientific and technical disciplines, Mathematical Modeling, Fourth Edition provides a rigorous treatment of the subject. The book explores a range of approaches including optimization models, dynamic models and probability models. Offers increased support for instructors, including MATLAB material as well as other on-line resources Features new sections on time series analysis and diffusion models Provides additional problems with international focus such as whale and dolphin populations, plus updated optimization problems

Salivary gland carcinomas (SGCs) are a heterogeneous group of rare head and neck cancers made of more than 20 pathologic types. Although the treatments of the early or loco-regionally advanced disease are similar across the different entities, these malignancies have variable biological characteristics and clinical behaviors. These specificities, especially the pathologic type and, when available, the molecular profile, are taken into account while choosing the treatment for the recurrent/metastatic phase. In this context, only few druggable molecular targets have been tested so far and not all are available in clinical practice. However, due to the rarity of SGCs, clinical trials are challenging to conduct, and most of the available evidence comes from retrospective studies.