Yes, if you receive a refund that should be less, you will need to amend. The IRS may or may not catch your error before they process your original return, but chances are the error will not be immediately identified by the IRS. DO NOT ignore this situation, if the IRS corrects the error later, you may be liable for additional fees, interest, and they could restrict your ability to claim an education in the future.
Wait until your original return is processed, then file the amended return 1040X, but be sure to pay the tax before tax day, which is April 17th 2018.
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HERE for IRS Pub 970 Education Credits
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HERE for IRS information about Amended Returns
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HERE for TurboTax Tools and Tips about Amended Returns
