Theory and Applications of Ordinary Differential Equations

Description

This book “Theory and Applications of Ordinary Differential Equations” is for junior and senior math majors uses mathematics, specifically the ordinary differential equations as used in mathematical modeling, to analyze and understand a variety of real-world problems. Among the civic problems explored are specific instances of population growth and over-population, over-use of natural resources leading to extinction of animal populations and the depletion of natural resources, genocide, and the spread of diseases, all taken from current events. While mathematical models are not perfect predictors of what will happen in the real world, they can offer important insights and information about the nature and scope of a problem, and can inform solutions. Simulation games, group-work, presentations, and guided inquiry are some of the pedagogies used in this book, which aims to create a community of learners who have the ability to take what they have learned in one situation and apply it to novel situations, and who can pursue information independently. Beyond the capacity to solve mathematical problems, students are expected to be able to communicate their findings clearly, both verbally and in writing, and to explain the mathematical reasoning behind their conclusions.