It is sometimes difficult for the student to actively participate in the learning process due to the difficulty that teachers find when trying to cover all the contents of a course with sufficient time and attention. This lack of time prevents professors from properly stimulating the student's active participation in class, which is always necessary for achieving a deep and significant learning. The present paper describes a flipped-classroom-based methodology that fosters autonomous learning of applied mathematics contents through the use of short educational videos. The use of on-line media learning resources has dramatically increased in the last decade in higher education, not only under the well-known flipped classroom approach but also as replacement of conventional face-to-face lectures. The application of this methodology will give professors more time to make students work actively and cooperatively at class in the application of mathematical techniques for solving complex exercises and problems.