When preparing for a numerical analysis course in an Applied Mathematics major, selecting a programming language is crucial. Recommended languages include C++, Python, Fortran, and MATLAB, each with its own advantages. While C++ and Fortran are powerful, they have steeper learning curves and may require additional libraries for advanced math. Python is highlighted as user-friendly, especially with the Anaconda package for scientific computing, though it can be challenging for matrix operations. MATLAB is excellent for matrix manipulation and data visualization but is costly, with Scilab suggested as a free alternative. Understanding basic programming concepts like loops and variable scopes is essential, as the course will focus more on algorithm implementation than complex programming skills. Overall, the choice of language should prioritize ease of access to resources and compilers, with the understanding that familiarity with multiple languages will be beneficial in the long run.