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.