Book: Lectures, Problems and Solutions For Ordinary Differential Equations
This book, Lectures, Problems and Solutions for Ordinary Differential
Equations, results from more than 20 revisions of lectures, exams, and
homework assignments to approximately 5,000 students in the College of
Engineering and Applied Sciences at Stony Brook University over the
past 30 semesters. The book contains notes for twenty-five 80-minute
lectures and approximately 1,000 problems with solutions. Creating
another ODEs book is probably more unnecessary than reinventing the
wheel. Yet, I constructed this manuscript differently by focusing on
gathering and inventing examples from physical and life sciences,
engineering, economics, and other real-world applications. These
examples, partly adapted from well-known textbooks and partly freshly
composed, focus on illustrating the applications of ordinary differential
equations. The examples are much stronger stimuli to students for
learning to prove the theorems while mastering the art of applying them.
While preparing this manuscript, I benefit immensely from many people
including undergraduate students who took the class and graduate
teaching assistants who helped teach it.
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