PLT TOOK OFF FROM INTXN MID-FIELD OPPOSITE TO WHAT THE CTLR INTENDED.

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AFTER RECEIVING 'ATIS' INFO AND CLRNC CTL (XPONDER CODE); GND GAVE ME TAXI INSTRUCTIONS TO RWY 01. ABOUT HALFWAY TO RWY 01 (I WAS PARKED AT GENERAL AVIATION) GND SAID I COULD HAVE A MID-FIELD TKOF ON RWY 10; AND TO TURN L (I BELIEVE IT WAS 'C'); HOLD AND CONTACT TWR. THIS I DID. TWR IMMEDIATELY GAVE ME 'CLRED FOR TKOF.' I PULLED UP TO RWY 10 AND LOOKED TOWARD RWY 01. A JET WAS LNDG ON 'RWY 01.' SO I TOOK OFF HEADING W (280 DEGS). ONCE AIRBORNE; TWR INFORMED ME I TOOK OFF GOING THE WRONG WAY. GAVE ME PERMISSION FOR A L TURN THEN DOWNWIND FOR RWY 10 -- SINCE MY DEST WAS TO THE E. I KNOW I SHOULD HAVE VERIFIED THE DIRECTION OF TKOF WITH THE TWR. BUT; WHEN HE DIDN'T GIVE ME THE DIRECTION; LOGIC SAID YOU DON'T TAKE OFF TOWARDS LNDG TFC. IF HE HAD SAID TO TAKE OFF TO THE E (100 DEGS); AND I LOOKED OVER AT 737 LNDG IN FRONT OF ME; I HOPE I WOULD HAVE HAD THE GOOD SENSE TO REFUSE. 2 POINTS; I DIDN'T ASK FOR MID-FIELD TKOF AND TWR DID NOT SPECIFY THE DIRECTION WHEN HE GAVE ME 'CLRED FOR TKOF.' ALSO; I AM NOT FAMILIAR WITH THE ARPT. HOPEFULLY -- NEXT TIME I WILL ASK WHEN IN DOUBT.