Why am I struggling with Differential Equations?

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SUMMARY

The discussion centers on the challenges faced by students in Differential Equations (Diff.Eq), particularly those who have previously excelled in Calculus I-III. Participants share their experiences and strategies for overcoming difficulties, emphasizing the importance of understanding different types of differential equations, such as separable and homogeneous equations. Recommended resources include "Differential Equations" by Ross and "Schaum's Outline of Differential Equations" (3rd Edition). The consensus is that struggling is a normal part of the learning process, and consistent practice is essential for mastery.

PREREQUISITES
  • Understanding of Calculus I-III concepts
  • Familiarity with basic linear algebra, including determinants and eigenvalues
  • Knowledge of integration techniques, such as integration by parts and partial fractions
  • Ability to identify and classify types of differential equations
NEXT STEPS
  • Study "Differential Equations" by Ross for foundational concepts
  • Explore "Schaum's Outline of Differential Equations" (3rd Edition) for practical examples
  • Practice identifying and solving separable and homogeneous differential equations
  • Review linear algebra topics relevant to differential equations, focusing on determinants and eigenvalues
USEFUL FOR

Students enrolled in Differential Equations courses, engineering students seeking to improve their problem-solving skills, and anyone looking for effective study strategies in advanced mathematics.

  • #31


My problem with my first ODE class was that theory was ignored for a lot of it.

Maybe that's the case with your class.
 
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  • #32


Here's my advice:

1.) You can use MIT lectures. There is one for differential equations. http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/ Heck, there are also some assignments and solutions. See if you are on par with an MIT student!

2.) I found that signals and systems helped piece differential equations together for me a bit. You might want to consider looking into buying a good signals and systems /controls book as a supplement. Its entire mission is to approach differential equations in the most manageable style possible.
 
  • #33


I did fine in calculus, and I'm taking Differential Equations now. Our book is pretty terrible--it's Borelli and Coleman, I think? I do okay solving the equations, but I am confused a lot of the time. I think about half my problems are due to not really understanding the theory behind what we're doing, and half due to forgetting things from linear algebra and calculus, because I took those a while ago. Going over the book and the notes helps. If there's someone in your class who understands the material better than you do, it might be helpful to do homework together and talk through it.
 

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