In a strong comeback drive, the German finished sixth, and was promoted to fifth when arch-rivals BAR had one of their cars penalised for overtaking under a yellow flag.
Frentzen survived the rainstorm and finished a strong fourth, beating the Williams of Ralf Schumacher and the McLaren of Mika Häkkinen in the process.
The trend of strong qualifying but inferior race pace continued in Brazil, where the team threw away the chance for a podium after both cars pitted on the same lap to change tyres in wet conditions.
The wrong choice of tyres, however, would see him passed by Nick Heidfeld's Sauber and Olivier Panis' BAR in the closing laps.
Frentzen's race was compromised when his launch control failed, and he collided with Pedro de la Rosa whilst climbing back up through the field.
A possible podium finish was lost by unreliability in Monaco due to Trulli retiring from fifth with an engine failure, and Frentzen crashed heavily exiting the tunnel.
The EJ11s qualified on the fourth row of the grid at the Nürburgring, but did not achieve a good result during the race, with both cars retiring whilst running outside the points-paying positions.
The team were becoming frustrated with Frentzen's lack of pace in the EJ11, as he had been out qualified by Trulli in all but one race, and had scored fewer points than the Italian.
The cars were fourth and fifth on the grid, but Trulli wasted his chance by colliding with David Coulthard's McLaren at the first corner.
Trulli started fifth, but gradually fell back and retired outside of the points after holding up a huge queue of cars early on.
As in previous years, the basic color of the car was yellow; Front and rear fenders, T-Cam and side pads were black.
The main sponsor remained the tobacco brand Benson & Hedges, which advertised on both fenders, the nose, the side boxes and the driver's helmet.
Jordan used 'Benson & Hedges' logos, except at the French, British and United States Grands Prix, which was replaced with "Bitten Heroes".
After the September 11 attacks, the team raced in Italian and United States Grands Prix, where the American flag was on the engine cover.