Is Advanced Calculus Necessary for Success in PDE?

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Advanced calculus is not a formal requirement for success in partial differential equations (PDE), but it can significantly enhance understanding. The discussion highlights that while some foundational topics were covered in an introductory proofs course, the depth of knowledge from a full advanced calculus course is beneficial. Concerns about delaying graduation by taking analysis are noted, yet the importance of advanced calculus for graduate-level PDE courses is emphasized. Ultimately, the necessity of advanced calculus depends on individual goals, such as whether one aims for basic problem-solving or graduate studies. A solid grasp of advanced calculus concepts is recommended for deeper comprehension of PDE.
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Is Advanced calculus absolutely necessary in order to succeed in PDE ?
The problem is that my school does not require me to take Adv Calculus since i am an applied math major , i am not even required to take a proof based course here's the link for the major ( http://w3.fiu.edu/math/html/urmath.htm ),
but i took intro to proofs anyways , i just finished it, the course included several proof methods, induction, strong induction, infinite sets, and then the first 2 chapters of Adv. Calculus, i covered : sequences , including cauchy sequences , and limits, using delta epsilon proofs.
after intro to proofs follows Adv. Calculus which begans with the 3rd chapter
Here is the description for MAP4401 ( PDE) http://w3.fiu.edu/math/html/ucourses.htm#MAP4401
Do you guys think this is enough ?
You probably say , take analysis , but here is the problem

1) taking analysis would delay my graduation by 1 year( since this is only offered once a year
2) i am not required to take it , but another professor told me that " having a knowledge of advanced calculus would help " by that he meant the whole course in adv. calculus or the stuff i covered in my intro to proofs class

i would like to hear your thoughts
 
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Depends on what you mean by succeeding. Do you just want to know how to solve some basic PDEs or do you want to go to grad school?

I think the most obvious answer is that your school's graduate PDE class requires the undergraduate advanced calculus class.
 

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