Clearing the path to Differential Equations

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SUMMARY

The discussion centers on the prerequisites for enrolling in Differential Equations courses, with varying opinions on the necessity of Calculus III and Linear Algebra. While some institutions require Calculus III and Linear Algebra before taking Differential Equations, others only mandate Calculus II. Participants noted that concepts from Linear Algebra, such as Partial Derivatives, may be integrated into Differential Equations textbooks. Ultimately, the consensus is that the specific curriculum and individual preparedness play significant roles in determining the appropriate sequence of courses.

PREREQUISITES
  • Calculus II proficiency
  • Understanding of Partial Derivatives
  • Familiarity with Differential Equations concepts
  • Basic knowledge of Linear Algebra
NEXT STEPS
  • Research the curriculum requirements for Differential Equations at various institutions
  • Study the integration of Linear Algebra concepts in Differential Equations textbooks
  • Explore the relationship between Calculus III and Electromagnetism (EM) topics
  • Review the role of Partial Derivatives in Differential Equations
USEFUL FOR

Students planning to take Differential Equations, academic advisors, and anyone interested in understanding the mathematical foundations necessary for advanced physics courses.

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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