ECE 2331 is the sophomore level course "Numerical Methods for Engineers" which covers some of the basics of numerical approaches to solving various problems that are either inherently numerical, or would be extremely hard, inefficient, or impossible to solve analytically.

Fitting curves to datasets, calculating the n-th derivative of a function based on a finite number of samples, calculating the derivative of a function based on a finite number of sample points, calculating eigenvectors/values, LU decomposition, generating function values using systems of ODEs, and Taylor series approximations are all topics covered in this course, along with basic linear algebra (rank, solution spaces, various methods of calculating determinants).

Resources:

• Numerical Analysis & Numerical Methods Project-- a really nice set of notes on some of the material covered in class, and more numerical analysis related topics. It has downloadable Mathematica notebooks and animations.