Are there any good source to learn how to work a problem from a proof?

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SUMMARY

The discussion centers on the challenges faced by students learning numerical analysis, particularly in applying proofs to problem-solving. The participant expresses frustration with the lack of quality resources, citing the course textbook as inadequate and noting the absence of open courseware, except for a challenging offering from the Indian Institute of Technology. The need for supplementary materials that bridge the gap between theoretical proofs and practical problem-solving is emphasized, highlighting the difficulty in finding tutors familiar with the course content.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with differential equations
  • Knowledge of numerical analysis fundamentals
  • Ability to interpret mathematical proofs
NEXT STEPS
  • Explore online resources for numerical analysis, such as MIT OpenCourseWare
  • Study "Numerical Analysis" by Burden and Faires for practical examples
  • Utilize Khan Academy's resources on mathematical proofs
  • Join online forums or study groups focused on numerical analysis
USEFUL FOR

This discussion is beneficial for students enrolled in numerical analysis courses, educators seeking teaching resources, and anyone looking to enhance their understanding of applying mathematical proofs to problem-solving.

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After having several years of calculus or Diff Eq teachers telling me not to worry about what we're doing, just use the example to solve the problem, I'm having to take numerical analysis. The problem is the professor tends to give a proof and one example. The book sucks and according to the instructor is the only decent book on the subject, there's no open courseware anywhere except the indian institute of technology, which is harder than the class I'm taking. It's one of those classes where it's impossible to find a tutor on the subject because everybody who has had the class has graduated and math majors aren't required to take this one.

I just have a really hard time working problems from the proof and figuring out what's conditional to the example he gives in class. So, does anybody have any suggestions for something online that would be helpful in trying to either apply proofs or for this class specifically?
 
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