<SUBMISSION>
<ACCESSION-NUMBER>0001140361-08-015384
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<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20080619
<FILING-DATE>20080619
<DATE-OF-FILING-DATE-CHANGE>20080619
<ISSUER>
<COMPANY-DATA>
<CONFORMED-NAME>AIR METHODS CORP
<CIK>0000816159
<ASSIGNED-SIC>4522
<IRS-NUMBER>840915893
<STATE-OF-INCORPORATION>DE
<FISCAL-YEAR-END>1231
</COMPANY-DATA>
<BUSINESS-ADDRESS>
<STREET1>7301 S PEORIA
<STREET2>P O BOX 4114
<CITY>ENGLEWOOD
<STATE>CO
<ZIP>80112
<PHONE>3037927400
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>7301 S PEORIA
<CITY>ENGLEWOOD
<STATE>CO
<ZIP>80112
</MAIL-ADDRESS>
<FORMER-COMPANY>
<FORMER-CONFORMED-NAME>CELL TECHNOLOGY INC /DE/
<DATE-CHANGED>19911128
</FORMER-COMPANY>
</ISSUER>
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>MILLER LOWELL D
<CIK>0001191146
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<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>000-16079
<FILM-NUMBER>08908647
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>26940 STONEMAVEN
<CITY>BELTON
<STATE>MO
<ZIP>64012
</MAIL-ADDRESS>
</REPORTING-OWNER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 4
<TEXT>
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<ownershipDocument>

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            <rptOwnerState>CO</rptOwnerState>
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            <isOfficer>0</isOfficer>
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            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2008-06-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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            <transactionAmounts>
                <transactionShares>
                    <value>2000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>30.26</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>34900</value>
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            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
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        </nonDerivativeTransaction>
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    <derivativeTable></derivativeTable>

    <footnotes></footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Peter H. Schwartz, Attorney-in-Fact</signatureName>
        <signatureDate>2008-06-19</signatureDate>
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</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
