This research aims to solve the basic knowledge problems of undergraduate students who study Calculus 1 for Engineers in the Faculty of Engineering Rajamangala University of Technology Phra Nakhon. Basic Mathematics tutorials are conducted in order to improve their knowledge which leads to increase the efficiency of learning the Calculus 1 for Engineers. The basic mathematics lessons are designed and their efficiency is assessed in the tutored group using the 60/60 criteria. The pretest and posttest are assigned to both tutored and tutorless groups as well as the tutored student satisfactions with thedesigned lessons and the Calculus 1 for Engineers are conducted. The result shows that the efficiency of the designed lessons is 76.60/64.67 which is higher than the criteria; hence they are proper to be used. For the treatment group the posttest grades are higher than the pretest grades significantly (.05) with the effectiveness of 34.67. The comparison of the learning achievement for the Calculus 1 for Engineers shows that the grades of the tutored group are higher than the grades in the tutorless group significantly (.05) as well. The student satisfactions for both the designed lessons and the Calculus 1 for Engineers are at the levels of good and very good.