I intend to take this course named "Differential Equations" and per the department followings contents will be taught
* First Order Differential Equations * Second Order Linear Equations * Series Solutions of Second Order Linear Equations * Higher Order Linear Equations * The Laplace Transform * System of First Order Linear Equations * Partial Differential Equations and Fourier Series * Boundary Value Problems and Sturm Liouville Theory * Non Linear Differential Equations
and this is also given in the course outline
"
In this course the students will learn how to solve boundary value problems analytically. This will enable them to develop command over one of the two techniques, namely: - Analytical Techniques - Numerical Techniques for the solution of boundary value problems "
Now I've not taken math course in a while (10 years ago I took Calculus in high school and I don't remember most of it unfortunately).
So I've two questions that I hope some of you can answer for me
- What topics in Calculus I must know before taking this course?
- What is the best Differential Equations book for person like me given the above course outline?
Please pardon my ignorance. I will really appreciate all the help. Thanks and I look forward to hearing from you.