Actually, in 3rd year I did a subject called Topics in Advanced Mathematics. The lecturer is really interested in the history of mathematics and we had to do calculations in Roman Numerals. We're not really sure how the Romans did it but our best guess is that by practice they could recognise patterns of symbol groupings which are rearranged in a multi-step process. It's nasty and time consuming but they probably could do lots of mental short-cuts due to their familiarity with the system. It may also explain why Roman engineers had so many "rules-of-thumb" and clever mechanical calculation aids rather than relying on computation.ORIGINAL: Shannon V. OKeets
Hunh![X(] Have you progressed beyond using Roman numerals?[;)]ORIGINAL: Neilster
As part of my university maths/computing major (2003-2005) I did heaps of hand calculations of this type in assignments and exams. Calculators were, as far as I remember, never allowed in exams and we were not allowed to use software in assignments/projects until we had shown we were adept at hand computation first. In Australia we have an old fashioned idea that mathematicians should be accurate and have an attention span [:'(].ORIGINAL: rkr1958
What a small world! I too have a Masters in OR (Ga. Tech 1981). And I also had to do several iterations of the Simplex method by hand both for homework and during a test. Except, if I remember correctly, the homework problem required us to iterate until we actually go the answer. That took several pages and a while to do.
I do remember in one of my Mathematical Programming classes (I think it was Linear Programming) that the professor talked about the use of OR techniques in WW-II to help against German u-boats.
Cheers, Neilster
We also had to use the Egyptian and Russian Peasant multiplication methods.
http://en.wikipedia.org/wiki/Egyptian_multiplication
Cheers, Neilster