Calc 3 Prep for ODE: Fund Differential Eqn & BVP

[Chunkysalsa]

What calc 3 topics will I need to learn before taking ODE? I'm going to be taking both at the same time and I want to know if there is stuff I need to be familiar with before starting.

The class is using Fund of Differential Equations & BVP by Nagle (5th ed) and I have no syllabus yet.

 

[anubis01]

I took Cal 3 and ODE at the same time. Cal 3 wasn't a prerequisite for ODE and there was very little overlap between those two courses.

 

[Someone1987]

In my differential equations class, the only topic from Calculus 3 that was needed was how to take partial derivatives and this was only used in one small part of the course so you shouldn't have any trouble.

 

[Chunkysalsa]

Yea I took a quick gander at the book and saw some partial derivatives so I figured I might have to look at that.

 

[rezeew]

Before taking ODE, it would be beneficial to have a strong understanding of the following topics from Calculus 3:

1. Multivariable Calculus: This includes topics such as partial derivatives, gradients, vector fields, and multiple integrals. Many concepts in ODE involve functions of multiple variables, so a solid understanding of multivariable calculus will be useful.

2. Vector Calculus: Some ODE problems involve vector fields and line integrals, so having a good grasp of vector calculus concepts like curl, divergence, and Green's theorem can be helpful.

3. Linear Algebra: Many ODE problems involve systems of linear equations, so a good understanding of linear algebra concepts like matrices, determinants, and eigenvalues/eigenvectors will be important.

4. Series and Sequences: ODEs often involve power series solutions, so understanding topics like convergence tests and Taylor series will be helpful.

I would also suggest reviewing basic integration techniques, as they are commonly used in solving ODEs. It may also be helpful to familiarize yourself with basic differential equations concepts, such as types of equations and solution methods, before starting the class.

I would also recommend reaching out to your professor or looking at the course syllabus once it becomes available for a more specific list of topics to review. Best of luck in your studies!