Abstract
The paper describes the peculiarities of the development of the digital course “Mathematical Analysis. 1st semester” in the digital learning system Nomotex (DLS “NOMOTEX”) [1], developed at the Department of Computational Mathematics and Mathematical Physics, Bauman Moscow State Technical University. The features of innovative teaching methods using this course are also presented.
Highlights
For different areas of training and specialties, different mathematical courses with variable depth of content are required, which correspond to the competencies of university graduates. [2, 3, 4, 5, 6] The need for designing personalized courses occurs during training on individual trajectories. [7, 8, 9, 10, 11, 12]The course "Mathematical analysis", studied in the 1st semester of the 1st year, contains the following modules (blocks): "Elementary functions and limits", "Differential calculus of functions of one variable" and "Exam".In accordance with the curriculum, a student can score 70 points for a semester in two modules, and 30 points for an exam
The course of the 1st semester in Mathematical Analysis is compiled differently for engineering specialties and the specialty "Mathematics and Computer Science" due to the peculiarities of the curriculum: for the specialty "Mathematics and Computer Science" 1.5 times more hours are supposed for lectures than for engineering specialties
The lecture course, traditionally taught in the discipline "Mathematical analysis", was significantly improved, and all the basic elements of the course were presented in accordance with the standard structure of quanta adopted in the DLS "NOMOTEX", which allows one to strictly systematize the premises, conditions and conclusions of a statement (Fig. 2) [1]: Fig. 2
Summary
For different areas of training and specialties, different mathematical courses with variable depth of content are required, which correspond to the competencies of university graduates. [2, 3, 4, 5, 6] The need for designing personalized courses occurs during training on individual trajectories. [7, 8, 9, 10, 11, 12]The course "Mathematical analysis", studied in the 1st semester of the 1st year, contains the following modules (blocks): "Elementary functions and limits", "Differential calculus of functions of one variable" and "Exam".In accordance with the curriculum, a student can score 70 points for a semester in two modules, and 30 points for an exam.
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