DURING SIC TRAINING IN A LEAR LONGHORN; LR55; CLASS C AIRSPACE WAS INADVERTENTLY PENETRATED DURING CLBOUT AFTER TKOF DUE TO THE CLOSE PROX OF THE CLASS C OVERLYING AIRSPACE. FLC BELIEVED THAT THEY HAD AVOIDED PENETRATING THE AIRSPACE; BUT ATC ADVISED OTHERWISE.

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DURING A TRAINING MISSION WHICH INCLUDED A PART 135 SIC CHKRIDE FOR 3 APPLICANTS (INCLUDING MYSELF); THE ACFT APPARENTLY MOMENTARILY ENTERED CLASS C AIRSPACE WITHOUT CLRNC. THE SIC CHKS WERE BEING CONDUCTED FROM JVY AND INCLUDED PATTERN WORK AND INST APCHS AT THAT ARPT. JVY ARPT IS LOCATED JUST N OF THE SDF CLASS C AIRSPACE. DURING THE FLT SDF APCH CONTACTED THE CAPT ABOUT THE ACFT'S FLT PATH NEAR OR THROUGH THEIR AIRSPACE. ACCORDING TO THEM AND THEIR RADAR; WE WERE ENTERING THEIR CLASS C DURING OUR CLBING TURNOUTS FROM TKOF/MISSED APCHS. ACCORDING TO THE SECTIONAL CHART FOR THE AREA; THE CLASS C AIRSPACE 10 MI RING OVERLIES A DIVIDED HWY AT ITS NORTHERN BOUNDARY. WE WERE TAKING CARE TO KEEP OUR FLT PATH N OF THAT HWY TO AVOID THE CLASS C. HOWEVER; THE TFC AT JVY WAS HVY AND SEVERAL TIMES WE HAD TO DEVIATE FOR TFC CLRNC AND MAY HAVE EXTENDED TOO FAR S IN THE INTEREST OF TFC AVOIDANCE AND FLT SAFETY. DUE TO THE ACFT'S SPD WE WERE FURTHER S THAN NORMAL BEFORE BEING HIGH ENOUGH TO TURN WHEN THESE TFC PROBS WERE ENCOUNTERED. AFTER THE FLT THE CAPT SPOKE WITH THE CTLRS VIA TELEPHONE AND CLRED UP THE WHOLE MATTER. THE CTLR MENTIONED THE PROPOSAL FOR THE REDESIGN OF SDF CLASS C WHICH WOULD INCLUDE A NOTCH JUST S OF JVY TO HELP ACCOMMODATE THE INCREASING JET TFC AT THAT ARPT WHEN THEY ARE CONDUCTING VFR TRAINING AND OPS. IN MY OPINION THE REDESIGN IS VERY NECESSARY AND WOULD EASILY SOLVE THESE PROBS (WHICH WILL ONLY INCREASE AS JVY ATTRACTS MORE AND MORE JET TFC AS A RELIEVER FOR THE SDF AREA).