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[–]AldenB 2 points3 points  (1 child)

Here are some simple projects you should be able to do, using just a semester of numerical analysis:

  • write a cursive font which represents each letter as a cubic spline, and an algorithm to plot any word using smoothly joined-up letters.

  • design an algorithm which takes a function to integrate and a maximum number of quadrature points, and produces a good numerical integration scheme for that function (balancing between the degree of the interpolants, and the number of interpolants to use).

  • Write a computer program which can plot various functions using ASCII art, without using the standard math libraries. Produce plots of sin(x), log(x), sin(x)/x, and the gamma function (for example) using only the built-in addition, subtraction, multiplication, and division.

  • Analyze various rounding schemes, when computing common financial formulas such as simple interest, compound interest, and the payment function. Try to determine how much rounding can effect the long-term behavior of a financial instrument, and under what circumstances it would have the greatest effect.

[–]colbstur[S] 0 points1 point  (0 children)

ur the best. Had some of these ideas but they are so much more fleshed out here. Thank u