Diff eq. and linear algebra concurrently and before calc III?

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SUMMARY

The discussion centers on the scheduling of Linear Algebra (LA) and Differential Equations (DE) concurrently in an engineering program at the University of Nebraska-Omaha, after completing Calculus II and prior to Calculus III. Participants agree that while this arrangement may present challenges, the interconnectedness of LA and DE can enhance understanding of multivariable calculus concepts. Some institutions, like Stanford, integrate these subjects into a cohesive sequence, suggesting that the curriculum design can vary significantly between universities.

PREREQUISITES
  • Understanding of Calculus II concepts
  • Familiarity with Linear Algebra fundamentals
  • Basic knowledge of Differential Equations
  • Awareness of multivariable calculus principles
NEXT STEPS
  • Research the curriculum structure of Stanford's Math 50's sequence
  • Explore the integration of Linear Algebra and Differential Equations in engineering programs
  • Investigate alternative course sequences for multivariable calculus and LA/DE
  • Consult academic advisors on course scheduling strategies
USEFUL FOR

Engineering students, mathematics educators, and academic advisors seeking insights into course scheduling and the interrelation of advanced mathematical concepts.

huskerwr38
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So my engineering program has me taking LA and Diff. Eq. in the same semester, after Calc II and before Calc III. I don't understand why that is...what would be the idea behind this?
 
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Do you mind I ask what is the name of your alma mater? I think LA and Diff.eq is doable, it may just be more difficult.
 
Yea, no problem it's University of Nebraska-Omaha. Here is a link to a sample of classes,
http://www.ceen.unomaha.edu/undergrad/pre-ee-xfer.php"
 
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Do they offer LA and DE only in the fall, and Calc III only in the spring? If so, I can only speculate that it might be done that way in order to distribute the teaching load properly among X number of faculty within the math department.

If they do offer Calc III in the fall and LA/DE in the spring, I don't see any reason why you couldn't switch those courses around.
 
huskerwr38 said:
Yea, no problem it's University of Nebraska-Omaha. Here is a link to a sample of classes,
http://www.ceen.unomaha.edu/undergrad/pre-ee-xfer.php"

Hey wait...why is Calc III after both LA and Diff...? I can understand for LA, but really for diff too?
 
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This makes sense to me. Linear algebra and differential equations are closely related, and the intuition you gain from that connection will help with the perhaps more confusing multivariate calculus.
 
I really wish I could have taken Differential Equations and Linear Algebra at the same time. The classes fit very nicely together and it would have made learning calculus 3 much easier. I think depending on the school Differential is easier to take before because it uses very little Calculus 3 concepts. Only continuing courses uses more Calculus 3 in it.
 
Stanford's 50's sequence sort of integrate the topics of multivariable calculus, linear algebra, and differential equations. (They are on a quarter system, and usually, 3 quarters = 2 semesters.) Math 51 covers some linear algebra and multivariable calc., Math 52 covers some more multivariable calc., and Math 53 covers some more linear algebra and diff. eq.

There are schools where you take multivariable calculus, linear algebra, and differential equations in two semester courses instead of three. Usually schools that do this will condense linear algebra & differential equations into a single, semester course, with multivariable calculus being the other semester course. Although in this format, (usually) multivariable calculus is taken before linear algebra + diff. eq.


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jtbell said:
Do they offer LA and DE only in the fall, and Calc III only in the spring? If so, I can only speculate that it might be done that way in order to distribute the teaching load properly among X number of faculty within the math department.

If they do offer Calc III in the fall and LA/DE in the spring, I don't see any reason why you couldn't switch those courses around.

No, they offer all of those classes both spring and fall semesters.


So most of you guys are saying this is should not be a problem? I guess I'll just go with it because that is what my schedule says and I'll talk with my adviser about it too.
 

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