Differential Equations E-course in Nomotex DLS

The electronic course “Differential Equations” in the Digital Learning System (DLS) NOMOTEX is developed and used for the mathematical training of future engineers. The artcle presents the content and features of the development of the module, as well as the methodology for conducting classroom studies in a digital educational environment. In the Nomotex DLS, the e-course is presented as a neural network structure of knowledge a tree. The content of the e-course is divided into chapters and paragraphs. Within a paragraph, the content is presented in the form of units of knowledge called quanta. The structure of quanta is described in detail, examples are given. The peculiarity of the described methodology is the preservation of traditional forms of education lectures and seminars with the use of a digital educational environment together. At the same time, in the learning process using the NOMOTEX DLS, traditional classroom lessons change significantly. The features of conducting lectures and seminars, measures for monitoring students’ knowledge are described. The Digital Learning System NOMOTEX allows you to implement various courses, forming the content of lectures and seminars from the existing knowledge bank. E-course, usually a part of the course “Integrals and Differential Equations”, read to future engineers in the spring semester of the first year at the Bauman Moscow State Technical University

Complex Analysis Electronic Course in Nomotex DLS

Information about the electronic course “Complex Analysis” created in the Digital Learning System NOMOTEX is presented. The analysis of the results of experimental teaching of students of the Bauman Moscow State Technical University on this course

Automation of Checking Math Tasks on the Analytical Geometry Nomotex E-course

In this article, the authors consider the problem of automatic check of tasks on the example of tasks on the topic of lines and planes. The authors raise the question of the influence of arithmetic errors on automatic verification. The paper discusses methods that will reduce the impact of arithmetic error on automated problem checking. The article provides several examples that are given to students to solve at control events held at the Bauman Moscow State Technical University

Visual-geometric Representation of Theorem Proofs in Nomotex DLS

The paper examines the features of visual thinking, the authors note the importance of visual examples in modern engineering education. The article describes a methodological approach to presenting the course, based on visual theorem proofs. An example is considered the course “Theory of multivariable function” Visual examples were created at the Department of Computational Mathematics and Mathematical Physics of the Bauman Moscow State Technical University. The proposed methodological approach to the development of the course “Theory of multivariable function” allows you to use the elements of the created course in various variations for disciplines using the concept of functions of many variables, depending on the direction of training (specialty)