Corruption of Math Classes

I just spent an entire hour evaluating massive, complicated logarithms by hand. Not only is this extremely annoying, but after some thought, the only reason a high school math class would teach advanced math by hand is because colleges and universities don't allow use of calculators and other utilities on most tests. What I really can't understand, is why the colleges use this method. In any situation where advanced mathematics would be used in a career, an advanced calculator, or more likely a computer would be available. The only conceivable use for learning advanced mathematics by hand would be to become a math teacher, which would only really need to teach basic usage of these methods, and how to properly use a computational utility. Mathematics is being taught (in most cases) in the most difficult and unnecessary ways possible. I make the assumption that this is only because of this: before computational technology became widely available, it was necessary to teach methods of all mathematics by hand, and as technology has become more available, math classes have just retained the traditional methods of teaching.