基于“学术型、技能型、国际化”的多元化信息与计算科学专业人才培养模式的研究与实践

根据目前高校信息与计算科学专业的发展状况,围绕应用型、精英型和国际型"三个导向"的人才培养目标体系和办学理念,结合数学学科的特点和信息与计算科学专业的定位,确立了信息与计算科学专业的培养目标;结合学校的特色及优势、专业的特点及目标,构建了符合本校该专业的多元化人才培养模式,并探讨了人才培养过程中相关问题的研究.     

应用型本科高校数学与应用数学专业建设的探索与实践

分析了应用型本科高校数学与应用数学专业建设的现状,从应用型人才培养方案的构建、模块化教学体系的优化、应用型师资队伍的建设、学生应用能力的培养、实践教学的改革等五个方面探讨了应用型本科高校数学与应用数学专业教育教学改革的方法,提出了明确应用型培养目标、优化模块化教学体系和创新培养模式的专业建设思路.     

信息与计算科学专业建设的探索与实践

探讨了信息与计算科学专业的专业建设与人才培养定位、人才培养体系的构建、教学方法的创新与实践、能力评价机制的完善等内容.     

财经类本科院校信息与计算科学专业建设和发展中的若干问题与对策研究

当前财经类本科院校的信息与计算科学专业,在专业建设和发展、办学实践过程中存在诸多问题.本文对信息与计算科学专业在财经类院校的现状,结合其行业背景,在专业内涵、专业定位、人才培养方向、课程体系构建、职业导向等方面,进行了分析、研究和实践,提出了一些对策、建议及可行性做法.     

探索信息与计算科学专业实践教学的新思路

讨论了实践教学对开设信息与计算科学专业的重要性,提出了我们实践教学和实践教学基地建设的基本思路.通过孵化基地建设的实践,我们提出了一条提高学生实践能力的有效途径.     

信息与计算科学专业应用型人才培养模式的研究

分析了信息与计算科学专业课程教学的特点和存在的教与学的矛盾.并以《高等代数》为试点,在教学实践中试行教学改革,积极探索教学与实际相结合与计算机信息有机结合的教学模式,在应用型人才培养方面取得显著成效.对信息与计算科学专业应用型人才培养有一定的借鉴作用.     

关于信息与计算科学专业的实践教学课程体系构建的一点探讨

在教育转型背景下,信息与计算科学专业实践教学改革势在必行.首先分析了国内该专业实践课程体系设置的现状,提出了该专业课程体系构建的原则,以一个经多年教学改革后积淀的实践课程体系为例探讨了其构建思路,该体系由四大模块构成,在IT人才培养目标上达到了实际效果;为工程应用型本科院校该专业实践课程体系的构建提供了一种可行的思路和方案.     

“微分方程数值解”的教学研究与实践

结合近几年我院信息与计算科学专业微分方程数值解课程教学改革的研究与实践,对微分方程数值解课程的教学内容、课程体系、教学方法和教学手段进行了深入的探讨.实践表明,通过运用多元化的现代教学手段并加强教学实践环节培养了学生综合应用知识解决问题的能力,教学效果良好.     

信息与计算科学专业社会适用型人才培养模式探讨

信息与计算科学专业是为适应社会经济发展需要设置的新专业.但随着办学时间的增加和社会需求的变化,该专业的人才培养模式出现一些不足,需要进行改革.我们根据多年的教学和办学经验,在分析了该专业存在问题的基础上,从专业定位、专业课程体系改革、实践教学体系改革和学生创业能力的培养等四个方面探讨了如何构建该专业社会适用型人才培养模...     

数学类本科专业建模与计算人才的培养体系与实践——以东华理工大学为例

我校数学类专业长期以培养数学建模为核心实践能力,坚持以培养具备较强的数学建模和科学计算能力的创新性应用型人才为目标定位.在这一目标定位的基础上,构建了理论与实践、算法与软件、课内与课外相结合的"三层两纵"互为交融的建模与计算的教学与人才培养体系.经过十余年的培养实践,结果表明该体系在我校数学类本科人才培养上发挥了重要作用且成效显著.     

Border bases and kernels of homomorphisms and of derivations

Border bases are an alternative to Gröbner bases. The former have several more desirable properties. In this paper some constructions and operations on border bases are presented. Namely; the case of a restriction of an ideal to a polynomial ring (in a smaller number of variables), the case of the intersection of two ideals, and the case of the kernel of a homomorphism of polynomial rings. These constructions are applied to the ideal of relations and to factorizable derivations.     

Shellability and homology of q-complexes and q-matroids

Journal of Algebraic Combinatorics - We consider a q-analogue of abstract simplicial complexes, called q-complexes, and discuss the notion of shellability for such complexes. It is shown that...     

Extension and Lifting of Operators and Polynomials

We study the problem of extension and lifting of operators belonging to certain operator ideals, as well as that of their associated polynomials and holomorphic functions. Our results provide a characterization of ${\mathcal{L}_1}$ and ${\mathcal{L}_\infty}$ -spaces that includes and extends those of Lindenstrauss-Rosenthal [32] using compact operators and González-Gutiérrez [23] using compact polynomials. We display several examples to show the difference between extending and lifting compact (resp. weakly compact, unconditionally convergent, separable and Rosenthal) operators to operators of the same type. Finally, we show the previous results in a homological perspective, which helps the interested reader to understand the motivations and nature of the results presented.     

On some results of Strichartz and of Rallis and Schiffman

Let (i, H, E) and (j, K, F) be abstract Wiener spaces and let α be a reasonable norm on E ? F. We are interested in the following problem: is ($\text{i ? j, H}\text{}\text{?}\text{bo}{}_2\text{K, E}\text{}\text{?}\text{bo}{}_{\mathrm{\alpha F}}$) an abstract Wiener space ? The first thing we do is to prove that the setting of the problem is meaningfull: namely, i ? j is always a continuous one to one map from $\text{H}\text{}\text{?}\text{bo}{}_2\text{K}$ into $\text{E}\text{}\text{?}\text{bo}{}_{\mathrm{\alpha }}\text{F}$. Then we exhibit an example which shows that the answer cannot be positive in full generality. Finally we prove that if F=L^p(X,$\text{X}$,λ) for some σ-finite measure λ ? 0 then $\text{(i?j, H}\text{?}{}_2\text{K,L}{}^{\mathrm{p}}$(X,$\text{X}$,λ) is an abstract Wiener space. By-products are some new results on γ-radonifying operators, and new examples of Banach spaces and cross norms for which the answer is affirmative (in particular α = π the projective norm, and F=L¹(X,$\text{X}$,λ)).     

Crossings and nestings of matchings and partitions

We present results on the enumeration of crossings and nestings for matchings and set partitions. Using a bijection between partitions and vacillating tableaux, we show that if we fix the sets of minimal block elements and maximal block elements, the crossing number and the nesting number of partitions have a symmetric joint distribution. It follows that the crossing numbers and the nesting numbers are distributed symmetrically over all partitions of , as well as over all matchings on . As a corollary, the number of -noncrossing partitions is equal to the number of -nonnesting partitions. The same is also true for matchings. An application is given to the enumeration of matchings with no -crossing (or with no -nesting).