Are the costs of Continuing Education classes to keep my job skills sharp deductible?

Generally, the cost of ordinary and necessary expenses paid for employee education and training are deductible.
Business owners can deduct costs of education to maintain and improve skills required in their trade or business.
If you are self-employed you will claim the deduction on Schedule C.
If you are an employee you will claim the deduction on Schedule A as a miscellaneous expense subject to the 2% limitation.