An Introduction to Differential Equations and Linear Algebra

This book is similar to the Third edition. Generally the same problems at the end of the chapters in the same order. One major difference is chapter 7 in the third edition includes more linear algebra.

the book is very good, and very clear. it introduces you to all the methods you need to know then combines them all in a comprehensive treatment of the subject at the end of the book

I used this textbook for a sophomore-level math course called "Linear Methods" on linear algebra and differential equations. I think this book is great for a course like that -- a course that stressed the connection between differential equations and linear operators/linear algebra. I really liked the book. I thought that the in-chapter text was clear enough while a bit dry. The end-of-section exercises were a mix of computational problems and a few conceptual problems and derivations, though to be honest I thought Prof. Goode would have done better to include more of the latter. I thought the book's organization great -- it provided a basic knowledge of matrices and elementary differential equations, and then introduced the concepts of linear algebra, with a focus on vector spaces, in order to approach both matrices and DEs in a more sophisticated way. This was my first book/course involving either subject, and I was VERY glad that I had used Goode's book when I took on differential equations and linear algebra individually in greater depth in their own courses.

I was lucky enough to have Dr. Goode as a Proffesor. His book goes step by step on how to solve DEs. It gives you just enough information to start your homework, but not too much to where the questions in the book aren't challenging enough. Unfortunately, students don't realize how much work is required at this level of calculus. That's the reason why some people don't like this book because it makes you work. If you are a hard worker and don't need anybody, like your mommy, taking you by the hand showing and how to do every single HW problem then this book is for you. This book and its course sets a really good foundation for engineering majors.

This book is great for any student trying to learn introductory DE and linear algebra. I'm a high school student, and because I had a teacher who did not understand the topic, I had to read the entire book from chapters 1 to 8. His explanations are broad as well as clear, and he fully interprets the significance of the tools he is teaching in the book.Despite some of the above reviews of dissatisfied students, try the book yourself! (Only thing I didn't like much was the book's lack of color and a lack of reader-friendly design)