Planning to take Intro to PDEs via UIUC NetMath — What should I know?

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SUMMARY

The discussion focuses on preparing for the "Introduction to Partial Differential Equations" course offered by UIUC through NetMath. Key prerequisites include a solid foundation in Calculus 1, 2, and 3, Linear Algebra, Ordinary Differential Equations, and Advanced Calculus or Real Analysis. Familiarity with the chain rule, Cauchy-Euler method, and Laplace transforms is essential. Experience with MATLAB or FreeMat is recommended for numerical methods, which enhance understanding of the course material.

PREREQUISITES
  • Calculus 1, 2, and 3
  • Linear Algebra
  • Ordinary Differential Equations
  • Advanced Calculus or Real Analysis
NEXT STEPS
  • Review the chain rule and its applications in PDEs
  • Study the Cauchy-Euler method and variation of parameters
  • Learn about Laplace and inverse Laplace transforms
  • Explore MATLAB or FreeMat tutorials on numerical methods
USEFUL FOR

Students planning to take the "Introduction to Partial Differential Equations" course, educators in mathematics, and anyone interested in enhancing their understanding of PDEs through online learning platforms.

Math100
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Hello, I want to know if anyone has taken an 'Introduction to Partial Differential Equations" class/course via UIUC (University of Illinois Urbana-Champaign) through NetMath. I am planning to take this course given the fact that I have taken ODE (Ordinary Differential Equations) and Nonlinear Ordinary Differential Equations before. What are some of the things that I should I know before taking this class/course? For people who have already taken this course through NetMath, do you suggest/recommend taking courses at this school through distance learning program? How's the quality?
 
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The basics for physics or engineering:
- Calculus 1,2,3
- Linear Algebra
- Ordinary differential equations
- Advanced Calculus or Real Analysis
- Introduction to Numerical Methods (optional but useful)
 
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jedishrfu said:
The basics for physics or engineering:
- Calculus 1,2,3
- Linear Algebra
- Ordinary differential equations
- Advanced Calculus or Real Analysis
- Introduction to Numerical Methods (optional but useful)
I have taken all of those courses/classes you've listed above, except the last one, 'Introduction to Numerical Methods'. I just wanted to know the quality of the online math classes/courses that are offered from this online college/university, but now, I think I know what I should do.
 
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For the topics in the course.

Chain rule, chain rule, chain rule... (most important)
From ODE:cauchy-euler method, UC method, variation of parameters.

It doesnt hurt to have familiarity with laplace/inverse laplace transforms.
 
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For the numerical part, having some experience with matlab or freemat could help. There’s tutorials available on the mathworks site to help.
 
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