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This web page describes the errors that I have seen most frequently in undergraduate mathematics, the likely causes of those errors, and their remedies. I am tired of seeing these same old errors over and over again. (I would rather see new, original errors!) I caution my undergraduate students about these errors at the beginning of each semester.   Outline of this web page:

ERRORS IN COMMUNICATION, including teacher hostility or arrogance, student shyness, unclear wording, bad handwriting, not reading directions, loss of invisible parentheses, terms lost inside an ellipsis ALGEBRA ERRORS, including sign errors, everything is additive, everything is commutative, undistributed cancellations, dimensional errors CONFUSION ABOUT NOTATION, including idiosyncratic inverses, square roots, order of operations, ambiguously written fractions, stream-of-consciousness notations. ERRORS IN REASONING, including going over your work, overlooking irreversibility, not checking for extraneous roots, confusing a statement with its converse, working backward, difficulties with quantifiers, erroneous methods that work, unquestioning faith in calculators. UNWARRANTED GENERALIZATIONS, including Euler's square root error, x^x. OTHER COMMON CALCULUS ERRORS, including jumping to conclusions about infinity, loss or misuse of constants of integration, loss of differentials.

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