Clearing the path to Differential Equations

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Discussion Overview

The discussion revolves around the prerequisites for taking differential equations, particularly focusing on the necessity of calculus courses and linear algebra. Participants share their experiences and opinions regarding the optimal sequence of math and physics courses, highlighting variations in curriculum requirements across different institutions.

Discussion Character

  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant mentions their school requires calculus 3 and one semester of linear algebra before starting differential equations, questioning if this is excessive.
  • Another participant shares their experience of successfully taking differential equations before linear algebra, suggesting that calculus 3 is not necessary for learning physics.
  • A different participant notes that their ODE class only requires calculus 2 as a prerequisite, indicating that linear algebra concepts are integrated into the course material.
  • One participant outlines their course sequence, indicating a structured path through calculus and physics courses, including differential equations and linear algebra.
  • Another participant expresses concern that calculus 3 and linear algebra may be more challenging than expected, noting the relevance of calculus 3 in electromagnetism.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the necessary prerequisites for differential equations, as experiences and curriculum requirements vary significantly across different schools.

Contextual Notes

Limitations include the lack of clarity on specific course content and the varying definitions of prerequisites across institutions, which may influence participants' perspectives.

torquemada
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According to my school, I got to take calc 3 and 1 semester of linear algebra before i can start differential equations. Is this so? Anything else you would advise to add? Or is this too much and I can deal with less? I ask because many have advised calc 3 before any physics even though my school only requires calc 1, so it seems there isn't total consensus on the best/correct sequence for coursework. Any feedback is appreciated. :)
 
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It depends on the content of each of your math classes, obviously, but I took differential equations before I took linear algebra and did fine.

Calc 3 definitely isn't required to start learning physics.
 
Yea really depends. At my school the ODE class only has Calc 2 as a prereq. The linear algebra stuff needed is kinda incorporated into the textbook as far as I see.

Partial Derivatives have shown up a couple times already (just started the class) and I'm taking Calc III concurrently. Took me about a minute to figure them out though.
 
My course outline looks like this:
last semester: calc 1 + gen physics A w/ calculus
this semester: calc 2 + gen physics B w/ calculus
next semester: Differential Equations + physics electives
semester after: calc 3 + physics electives
semester after: going to take linear algebra (even though not required for physics major, it's one of the few things missing from me being a dual math major) + physics electives

My advisor has all the physics majors set up like this.
 
torquemada,
I got similar situations..
My curriculum requires me to take Calc 3 and Linear Algebra before Differential Equation
But from my understanding those classes are somewhat tougher than my friends in engineering took..

Calc 3 is usually involved in intro EM, so some background can be helpful...
 

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