ESP is practiced at the tertiary level in most countries where EAP is especially highlighted to prepare students for their academic study． However ，EAP is new at Chinese universities and colleges． Needs analysis of the students of four universities reveals that EAP is becoming increasingly significant against the background of the internationalization of higher education．Based on the analysis ，the paper uses the case of the EAP course offered at Fudan to illustrate its goal ，material development and classroom activities so that a feasible model of EAP is provided for the freshmen's college English teaching．