Ordinary Differential Equations I, is one of the core courses for science and engineering majors. Practical problem solving in science and engineering programs require proficiency in mathematics. Improving student performance and retention in mathematics classes requires inventive approaches. At the University of Central Florida (UCF) the Department of Mathematics developed an innovative teaching method that incorporated computers, Canvas (Webcourses@UCF), WileyPlus software, and application sessions in large Ordinary Differential Equations I classes. Introduction of new technology, in-class problem solving and application (or discussion) sessions are important factors in the enhancement of students' deep understanding of mathematics. We will detail various components of the course (online homework sets, application sessions and projects, in-class tests, and comprehensive final exam) and discuss how we obtained optimal results enhancing the traditional teaching techniques. Also, how to obtain optimal results without sacrificing the traditional teaching techniques will be brought out. We hope that the details of our experiences and the lessons we learned along the way will be helpful to others who are struggling with the same issues. Also, we provide solutions for quality education and the student-growth. Furthermore, this technique can be used to teach large classes in Science, Technology, Engineering and Mathematics (STEM).