Numerical Methods Test Problems at Undergraduate Level

AI Thread Summary
The discussion focuses on identifying common test problems in Numerical Methods for undergraduate courses, particularly for mid and end-of-semester exams. Key topics include the importance of understanding Numerical Methods as a foundation for the Finite Element Method, especially in relation to Partial Differential Equations. Participants mention specific methods like Newton's method, Runge-Kutta, and the simplex method as potential test topics. There is also a clarification sought on the distinction between Numerical Methods and Numerical Analysis, as well as Finite Element Methods and Finite Element Analysis. Overall, the conversation emphasizes the need for a solid grasp of these concepts to succeed in related coursework.
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Can anyone here give me the examples of most test problems of Numerical Methods in the Mid and End of semester at undergraduate level?

What is the most test problems of Numerical Methods in the mid and end of semester at undergraduate level that probably must come out in the test?

I am taking Numerical Methods and Finite Element Method course on this semester.

As I was read here that Numerical Methods for Partial Differential Equation is the fundamental of the Finite Element Method, then I guess I should start to learn numerical methods first from here.

Btw, there are Numerical METHODS & Numerical ANALYSIS and Finite Element METHODS & Finite Element ANALYSIS. ANALYSIS & METHOD, what is the difference?
 
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I'd say Newton, Runge-Kutta and maybe simplex.
 
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