This course is for our science &engineering students of economics, opened a door compulsory public foundation course. On the one hand it for subsequent math courses and professional course provides the necessary basic mathematical knowledge, on the other hand, the further improving student's mathematics quality. Through this course, students of abstract thinking ability and general ability and logical reasoning ability, space imagination ability and self-educated abilities, also pay special attention to the cultivation of students' operation ability, use knowledge and ability to solve practical problems. Main contents: the course of calculus, dollar limits and its application, vector algebra and space analytic geometry.