Sometime experiments are virtually impossible, and mathematics must fill the breach. Mathematics is frequently useful in devising experiments to check whether a theory is correct. In a more positive sense, mathematics can often say what the best level of achievement is, thereby providing a target fo the engineer to aim at. Mathematics frequently plays an important part in reducing complicated methods of calculation to readily available working form. In particular, the computer can free the engineer from the drudgery of routine calculations.
Mathematics can help in the interpretation of experimental data.