Courses Taking Intro to Differential Equations after a break from school

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The discussion revolves around an undergraduate student contemplating taking an introductory differential equations course after a significant break from academia. The student has concerns about their rusty calculus and linear algebra skills and is on academic probation, which raises the stakes for their course performance. The course focuses on differential equations with applications in biology and related fields, covering topics like first and second-order linear equations and numerical modeling techniques. Key points include the distinction between two versions of the course: one that is mathematically rigorous and may be challenging for those lacking strong prerequisite knowledge, and another that emphasizes applications and computer modeling, which is deemed more accessible for students with some foundational understanding. The discussion suggests that reviewing essential topics from prior math courses could be beneficial, particularly for the more rigorous version. Overall, the decision to enroll hinges on the student’s confidence in their math skills and the potential impact on their academic standing.
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I'm currently an undergrad student who had to take a break from school for over a year and its been around 3 or 4 years since I took Calc I - Calc III and Linear Algebra. I'm debating on taking a introduction to differential equations course as an elective that starts in a couple weeks when I get back into school, but I'm wondering how much I will be struggling or if it's even worth taking. I am Statistics major who's interested in applications to biology/biostats/epidemiology/quantitative psychology, but because I've been out of school for a while and my calc and linear algebra skills are very rusty I'm not sure on how well I'll do in the course. Here is the course description:

Solutions of differential equations with biological, medical, and bioengineering applications. First and second order linear equations, phase plane analysis, nonlinear dynamics, Laplace transforms, and the diffusion equation. Computer labs cover mathematical and numerical techniques for modeling biological systems.

Are there any topics from previous math courses that are essential to differential equations that I should be reviewing?

I should note that I am on academic probation so I can't risk failing any of my classes. With that being said, do you think this course is even worth taking right now?
 
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It depends. We offer two intro differential equations courses. One is mathematically rigorous, intended for math and physics majors, and students who are rusty with prerequisite material struggle. The other leans heavily on application with a lot of computer modeling. Any reasonably bright student is fine. Math, physics, and some engineering majors can’t receive credit for the second while some engineering majors can.
 
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Just occurred to me. Post the textbook used and I can give you better information.
 
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