<SUBMISSION>
<ACCESSION-NUMBER>0001140361-09-005386
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20090224
<FILING-DATE>20090227
<DATE-OF-FILING-DATE-CHANGE>20090227
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>BERNSTEIN RALPH J
<CIK>0001199788
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>000-16079
<FILM-NUMBER>09644134
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>235 BALDWIN RD
<CITY>BEDFORD CORNERS
<STATE>NY
<ZIP>10549
</MAIL-ADDRESS>
</REPORTING-OWNER>
<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>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2009-02-24</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000816159</issuerCik>
        <issuerName>AIR METHODS CORP</issuerName>
        <issuerTradingSymbol>AIRM</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001199788</rptOwnerCik>
            <rptOwnerName>BERNSTEIN RALPH J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O AIR METHODS CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>7301 SOUTH PEORIA</rptOwnerStreet2>
            <rptOwnerCity>ENGLEWOOD</rptOwnerCity>
            <rptOwnerState>CO</rptOwnerState>
            <rptOwnerZipCode>80112</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2009-02-24</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>12500</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>17.0594</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1112277</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">The sales reported in this Form 4 were effected pursuant to a Rule 10b5-1 Trading Plan adopted by the Reporting Person on December 10, 2008.</footnote>
        <footnote id="F2">This transaction was executed in multiple trades at prices ranging from $16.86 to $17.26.  The price reported above reflects the weighted average sale price of such trades.  The reporting person hereby undertakes to provide to the SEC staff, the issuer or a security holder of the issuer, upon request, full information regarding the number of shares and prices at which each transaction was effected.</footnote>
        <footnote id="F3">This amount includes 60,500 shares owned by Yasmeen Bernstein and 2,400 shares of restricted stock.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Peter H. Schwartz, Attorney-in-Fact</signatureName>
        <signatureDate>2009-02-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
