Teaching of Mathematics

A common theme in mathematics is the evaluation of Gauss integrals.This, coupled with the fact that they are used in different branches of science, makes the topic always actual and interesting.In these notes we shall analyze a particular class of Gaussian integrals that depends by the quantum parameter .Starting from classical results, we will present an overview on methods, examples and analogies regarding the practice of solving quantum Gaussian integrals.

Simone Camosso

THE TEACHING OF MATHEMATICS

Gaussian integrals depending on a quantum parameter in finite dimension

有限维量子参数依赖的高斯积分

In this paper, we aim to contribute to the planning and implementation of education in higher mathematics education for students from non-mathematics study programs, specifically focusing on multivariable calculus, i.e., multiple integrals.Indeed, the outcomes of various empirical studies indicate that students from non-mathematical faculties struggle to grasp and comprehend multiple integrals and multivariable functions in general.The research presented in this paper aims to ascertain whether there is a significant correlation between students' achievements in multiple integrals and their achievements in applying knowledge and skills from analytical geometry (to define sets of points in the plane and space, determined by lines, curves, planes and surfaces).Additionally, the study investigates whether this correlation potentially varies based on the various instructional teaching approaches.The presented empirical research was conducted at the Faculty of Engineering, University of Kragujevac, with 72 second-year students, divided into two groups.The results indicate that the given linear correlation is statistically significant and positive.Moreover, the differences in correlation coefficients calculated for two groups of students who acquired knowledge in multiple integrals through different instructional approaches are not statistically significant.These findings underscore the need to devote substantial attention to the teaching of multiple integrals, especially in devising methods that enable students to visualize specific mathematical concepts in both plane and space.Additionally, a precise definition of integration domains, and an accurate specification of variable bounds, should be emphasized in the multiple integrals teaching and learning process.

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Journal Impact	0.19
国际分区	EDUCATION, SCIENTIFIC DISCIPLINES(Q4)

涉及主题	educationmathematics
出版信息	出版商: Drustvo Matematicara Srbije，出版周期: ，期刊类型: journal，开源期刊: 是
基本数据	创刊年份: 1998，原创研究文献占比: 100.00%，自引率:0.00%， Gold OA占比: 41.38%
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Teaching of Mathematics

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Gaussian integrals depending on a quantum parameter in finite dimension

Correlation analysis of students' success in solving analytic geometry and multiple integral problems

Correlation analysis of students' success in solving analytic geometry and multiple integral problems

Gaussian integrals depending on a quantum parameter in finite dimension

ISSN	1451-4966, 2406-1077
h-index	9