Navigating Two Math Classes and an Elective Simultaneously

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SUMMARY

This discussion centers on the challenges of taking Calculus 3 and Ordinary Differential Equations (ODE) concurrently, alongside an intermediate Computer Science class and a general elective communications course. Participants agree that ODE is generally manageable, especially for students with strong algebra and integration skills. The difficulty of Calculus 3 varies significantly based on the curriculum and faculty, with common textbooks including Stewart and Zill. Additionally, prior knowledge in Linear Algebra is recommended to enhance understanding of ODE concepts.

PREREQUISITES
  • Strong algebra manipulation skills
  • Integration techniques
  • Familiarity with Ordinary Differential Equations (ODE)
  • Basic concepts of Linear Algebra
NEXT STEPS
  • Research the curriculum differences for Calculus 3 across various universities
  • Explore textbooks used in ODE courses, focusing on Zill and Boyce
  • Study Linear Algebra concepts relevant to differential equations
  • Investigate strategies for managing multiple math courses simultaneously
USEFUL FOR

Students pursuing mathematics, engineering, or computer science degrees, particularly those planning to take multiple math courses in a single semester.

PurpleNurple7
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This semester I am taking calculus 3 and ODE, along with an intermediate CS class and a general elective communications course. I'm wondering how difficult these two will be when taken together. I took Calc 2 the semester prior and got an A, but have never taken 2 math classes simultaneously before.

edit: At my school ODE only has a prerequisite of Calc 2.
 
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it is doable. ODE is one of the easier math courses, provided that your algebra manipulation and integration is good.

Depending on your major, it is very common to take 3 math courses + an elective, 3 physics classes + elective, etc. You may very well be forced to doing this the semester after this, if you want to graduate in a timely manner.
 
PurpleNurple7 said:
I...have never taken 2 math classes simultaneously before.
So you haven't done Linear Algebra?
 
MidgetDwarf said:
ODE is one of the easier math course
Not when I took it. Also, Calc 3 can be either east or hard depending on where the boundary between Calc 2 and Calc 3 is drawn.

I sadly suspect the answer is university dependent and even faculty dependent.,

(And I still have nightmares about tanks of brine)
 
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Vanadium 50 said:
Not when I took it. Also, Calc 3 can be either east or hard depending on where the boundary between Calc 2 and Calc 3 is drawn.

I sadly suspect the answer is university dependent and even faculty dependent.,

(And I still have nightmares about tanks of brine)
you are a bit older than the average poster here who is not staff. so standards where much higher back in your day. I believe you also went to top college. This is not the typical experience for the majority of college students. US intro ode course use something along the lines of Zill, Boyce, or any other run of the mill ode book. Sometimes students get lucky and use Simmons or a similar level book.

As calculus 3 goes, very few schools use Mardsen or Hubbard text. Even fewer use Apostol's or Courant's second volume. Typically, something along the lines of Stewart is used.

Faculty plays a major role in the difficulty of a course, but the level of abstraction of the typical US course is not very high for these two courses. If it was something like an intro LA course, I would definitely agree with you.
 
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I took Differential Equations from a nearby college you never heard of when I was still in high school. My "top school" didn't want to give me credit for it, so I took their final. Cold. And I aced it.

So yes, there is a lot of variation. Differential Equations is very episodic. Depending on what they choose to cover and in what depth, it can be easy or hard.

Your point "maybe things are just different today" can't really be argued against. Maybe yes, maybe no. I certainly don't see any sign of it, and I see a wide variation in math skills of incoming grad students.
 
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I agree. Topic coverage can vary considerably in ODE.

But I think taking linear algebra before ODE is ideal. After all linear differential equation solutions comprise a vector space. And a Wronskian checks for linear independence.

Knowing these notions before hand helps to frame ODEs.
 

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