Differential Equations or Linear Algebra?

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Discussion Overview

The discussion revolves around the decision of whether to take Differential Equations (DiffEQ) or Linear Algebra first, following the completion of Calculus I and Discrete Mathematics. Participants explore the prerequisites and connections between these subjects, considering their implications for understanding and success in future coursework.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Homework-related

Main Points Raised

  • Some participants suggest taking Calculus II before Differential Equations due to the integration skills required in the latter.
  • Others argue that Linear Algebra can be taken without having completed Calculus II, and it may also benefit understanding of Differential Equations.
  • One participant emphasizes that Differential Equations is fundamentally tied to calculus concepts, indicating that mastery of integration is crucial before tackling DiffEQ.
  • Another viewpoint expresses a preference for Linear Algebra over Differential Equations, citing concerns about the applicability of the skills learned in DiffEQ compared to the broader problem-solving potential in Linear Algebra.
  • Some participants note that a good instructor can significantly enhance the learning experience in Linear Algebra.
  • It is mentioned that if the Differential Equations course is more comprehensive than just a toolkit for solving standard equations, knowledge of Linear Algebra would be beneficial.
  • One participant shares a resource (Khan Academy) for additional learning, suggesting that interest in the subject matter should guide course selection.

Areas of Agreement / Disagreement

Participants express differing opinions on the order of courses, with no consensus reached. Some advocate for taking Calculus II and Linear Algebra before Differential Equations, while others highlight the possibility of taking Linear Algebra independently of Calculus II. The discussion remains unresolved regarding the best approach.

Contextual Notes

Participants' recommendations depend on individual learning preferences, course structures, and the specific content of the Differential Equations course, which may vary by institution.

Kidphysics
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What to take first? Much help would be appreciated: Just took calc 1 and discrete mathematics.
 
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You should definitely take Calc. II so that you'll be able to do the integration required in ODE (ordinary diff. eq.). Linear algebra doesn't rely on these topics so you might want to take that.
 
Oh for sure.. I'm planning on all the calcs.. I knew differential equations had a connection to ideas of calculus. Should I take Linear Algebra with matrix theory?
 
DiffEQ IS calculus.

You can take linearalgebra without calc II, and it would do you good for difeQ as well. (some ideas come into play when solving systems of linear differential equations)

Are you a math major? Even if not, taking calc II and linear algebra together would be a good choice IMO.

don't take differential equations till you've mastered integration - you'll be doing tons of it.
 
pergradus said:
DiffEQ IS calculus.

You can take linearalgebra without calc II, and it would do you good for difeQ as well. (some ideas come into play when solving systems of linear differential equations)

Are you a math major? Even if not, taking calc II and linear algebra together would be a good choice IMO.

don't take differential equations till you've mastered integration - you'll be doing tons of it.

Hmm I'll be taking calc 2 and modern algebra... so calc 3 with linear equations? Math is my minor yes.
 
I think that Linear Algebra is more preferable than Differential Equation. The problem I have with DE is that all you get is a toolkit for solving the equations. If the problem you get is not the types you have learned to solve, you just can't solve it. It isn't like simple high school geometry where you can solve the problem no matter how complex it is if you have got the right mindset.

Linear algebra is fun if you have got a good teacher.

Frankly speaking, if you are really interested and not taking the course just for the degree, I would advice you to take other courses if available because Sal Khan also teaches both of them and posted the videos http://www.khanacademy.org/" for free, and his teaching is interesting and great. He is a great teacher!
 
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If your DE course is more than a cookbook for solving some standard types of equations, the math will use the concepts from linear algebra, so take that first.
 
Yea take Calc2 and Linear Algebra before Diff EQ. I just took Diff Eq and linear algebra makes its appearance in every single chapter. I have taken LA yet so you can succeed easily in Diff Eq but your understanding of the subject will be much greater if you take LA first.

You need to know Calculus to do any of the computations though. Integration is used a lot to solve many equations.
 

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