Moving Node Method for Deferential Equations

The chapter contains information about new approaches to solving boundary value problems for differential equations. It introduces a new method of moving nodes. Based on the approximation of differential equations (by the finite difference method or the control volume method), introducing the concept of a moving node, approximately analytical solutions are obtained. To increase the accuracy of the obtained analytical solutions, multipoint moving nodes are used. The moving node method is used to construct compact circuits. The moving node method allows you to investigate the diskette equation for monotonicity, as well as the approximation error of the differential equation. Various test problems are considered

IMPROVEMENT OF WATER ALLOCATION EFFICIENCY IN THE AMU-SURKHAN RIVERS BASIN

In the article efficiency of water distribution in the territory of Amu-Surkon basin is analysed and based on the results, provided the recommendations. The study is conducted within the project QH-A-QH-2018-409 “Increase efficiency of water resources management in Surkhandarya region: improve interbasin re-distribution of the water resources of Surkhandarya and Sherabaddarya Rivers” funded by Uzbekistan government. The main problems of water management in the Surkhandarya region are: outdated irrigation systems requiring an urgent modernization; large dependence on pump irrigation; low energy efficiency of pumping stations due to use of the old high energy-consuming equipment; irrational distribution and large unproductive technical and operational water losses. Increase of sensitivity to climate change with forecasting of 50% water deficit by 2050 leads to drought and further desertification, including impact on food security. In the article some results are introduced related to improve water allocation by redistribution of water resources between the river basins in the region aimed to reduce of pumped water use for irrigation.In the article efficiency of water distribution in the territory of Amu-Surkon basin is analysed and based on the results, provided the recommendations. The study is conducted within the project QH-A-QH-2018-409 “Increase efficiency of water resources management in Surkhandarya region: improve interbasin re-distribution of the water resources of Surkhandarya and Sherabaddarya Rivers” funded by Uzbekistan government. The main problems of water management in the Surkhandarya region are: outdated irrigation systems requiring an urgent modernization; large dependence on pump irrigation; low energy efficiency of pumping stations due to use of the old high energy-consuming equipment; irrational distribution and large unproductive technical and operational water losses. Increase of sensitivity to climate change with forecasting of 50% water deficit by 2050 leads to drought and further desertification, including impact on food security. In the article some results are introduced related to improve water allocation by redistribution of water resources between the river basins in the region aimed to reduce of pumped water use for irrigation

Peer-Led Team Learning in Mathematics: An Effort to Address Diversity and Inclusion Through Learning and Leadership

The Peer-Led Team Learning (PLTL) model has shown to be an effective instructional method to support females, underrepresented minorities, and first-generation students in Science, Technology, Engineering, and Mathematics (STEM). The collaborative problem-solving setting, led by a peer leader, fosters learning that engages all the students. There are six critical components that are vital to the PLTL model: 1) The PLTL Workshop is integral to the course; 2) Faculty is actively involved; 3) Peer Leaders are well trained; 4) The PLTL Workshop modules are challenging; 5) PLTL workshops are allocated time and space; and 6) There is institutional support. City Tech has implemented the PLTL workshops in selected foundation mathematics courses over the past five years because of the dismal pass and withdrawal rates. Overall results have shown that females, underrepresented minorities, and first-generation college students who actively participated in the PLTL workshops have higher course grades and lower withdrawal rates. Students are also afforded the opportunity to participate in the PLTL Leadership program. Through the PLTL Leadership program, females, underrepresented minorities, and first-generation college students (107 peer leaders in total) who have successfully completing their STEM degrees, are either in the STEM workforce or pursuing advanced STEM degrees. The PLTL model supports students who are academically disadvantaged, and provides students with an opportunity to build their leadership skills and to create a pathway to graduate school

The Impact of Peer-Led Workshops in an Intermediate Algebra Course for Women, Minorities, and First-Generation College Students

The implementation of the Peer-Led Team Learning (PLTL) instructional model have shown to increase student pass rates and decrease failure and withdrawal rates in foundational mathematics courses. New York City College of Technology has implemented mandatory PLTL workshops in selected sections of MAT 1275: Intermediate Algebra and Trigonometry. Students spend an hour working collaboratively with their classmates guided by peer leader. Results from this study showed gender, ethnicity, and first-generation college student differences in their responses on the effectiveness of peer supported groups in this fundamental mathematics course