<SUBMISSION>
<ACCESSION-NUMBER>0001140361-05-011140
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20051216
<FILING-DATE>20051219
<DATE-OF-FILING-DATE-CHANGE>20051219
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>TODD AARON D
<CIK>0001192404
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>000-16079
<FILM-NUMBER>051273664
</FILING-VALUES>
<BUSINESS-ADDRESS>
<PHONE>7208706596
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>5906 S JEBEL CT
<CITY>AURORA
<STATE>CO
<ZIP>80016
</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>
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            <otherText></otherText>
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                <value></value>
            </transactionTimeliness>
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                <transactionShares>
                    <value>750</value>
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                <transactionPricePerShare>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
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            <transactionAmounts>
                <transactionShares>
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                <transactionPricePerShare>
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                <directOrIndirectOwnership>
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        <nonDerivativeTransaction>
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                <directOrIndirectOwnership>
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                <transactionFormType>4</transactionFormType>
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            <transactionTimeliness>
                <value></value>
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                <transactionShares>
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                </natureOfOwnership>
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        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Option to Purchase Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>6.15</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2005-12-16</value>
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                <transactionPricePerShare>
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                <transactionAcquiredDisposedCode>
                    <value>D</value>
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            <exerciseDate>
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            <expirationDate>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
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                <underlyingSecurityShares>
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                </underlyingSecurityShares>
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            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>11357</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
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                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
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        </derivativeTransaction>
    </derivativeTable>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Peter H. Schwartz, Attorney-in-Fact</signatureName>
        <signatureDate>2005-12-19</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
