Методика викладання теми «Локальна та інтегральна теореми Лапласа» на основі інтеграції вищої математики та графічних дисциплін

The article examines the method of forming students' mathematical competence based on the interdisciplinary integration of mathematical and graphic disciplines on the example of studying the topic "Local and integral theorems of Laplace". Graphic and mathematical training of students are organically interconnected. However, the potential of this relationship and the methods of its implementation have not yet been definitively determined. Graphical preparation is extremely important in the study of higher mathematics, because it provides a deeper understanding of complex mathematical concepts and helps students better absorb the material. Mathematical training also plays a key role in mastering engineering graphics, providing a foundation for understanding and creating accurate technical drawings and graphic models, forming in students abstract thinking and readiness to operate with imaginary images based on graphic images. The article highlights the relationship between higher mathematics and engineering graphics. A method of implementing this relationship is proposed on the example of studying the topic "Local and integral theorem of Laplace", which is based on the gradual complication of examples and relevant illustrative material. The proposed author's method of studying Laplace's local and integral theorem is based on the visualization of abstract mathematical concepts, allows a better understanding of changes in distributions and their asymptotic behavior, which is important for understanding the transition from individual values to their integral sum. At the same time, the technique allows you to support an intuitive understanding of the processes of transition from discrete to integral distribution.