高等数学课程分层次教学理念的思考和举措

高等数学课程是高校所有专业的基础课程之一,对实现高校的人才培养目标起着十分重要的作用.本文遵循因材施教的原则,科学设计了分层次教学模式,对于开展分层次教学的意义和理论依据作了阐述,提出了分层次教学模式的组织与实施,并就教学内容、教学方法、考核模式的改革给出相应的实施方案.     

广义病态方程的Tikhonov正则解

对于双方带扰动数据的病态方程(即所谓广义病态方程)，借助对Tikhonov正则化算法的改进，给出一种优良的正则化求解方法。     

Crystal Structure of a Mn(Ⅱ) Coordination Polymer:[Mn(TP)(TBZH)_(2n)(TBZH=Thiabendazole,TP=Terephthalic Acid)

The structure of a manganese(Ⅱ) polymer,[Mn(TP)(TBZH)]2n 1(TBZH=thiabendazole,TP=terephthalic acid),has been determined by X-ray crystallography and characterized by elemental analysis,IR spectrum and thermogravimetric analysis.It crystallizes in the orthorhombic system,space group Pbcn with a=12.7813(12),b=10.7544(10),c=20.1270(19) ,V=2766.6(4)3,Z=8,C14H9Mn0.50N3O2S,Mr=310.77,Dc=1.492g/cm3,F(000)=1268,μ=0.674 mm-1 and S=1.064.The 1-D chain architecture of 1 is constructed from terephthalic acid and manganese atoms.Hydrogen bonds and aryl ring π-π stacking interactions in 1 contribute to form a 3-D supramo-lecular structure.     

Crystal Structure of Catena-poly-[2,2'-bisbenzimidazole Mn(Ⅱ)-μ-Benzene-1,3-dicarboxylato]

The title complex,[(BBI)Mn(BDC)]n 1(BBI = 2,2'-bisbenzimidazole(C14H10N4),BDC=benzene-1,3-dicarboxylate dianion(C8H10O4)),crystallizes in the monoclinic system,space group C2/c,with a=17.822(8),b=16.181(7),c=13.355(6),β=92.112(5)°,V=3848.67(304)3,Z=8,C22H14MnN4O4,Mr=453.31,Dc=1.565 g/cm3,F(000)=1848,μ=0.725 mm-1,S=1.000,the final R=0.0310 and wR=0.0589.1 contains hydrogen bonds and π-π stacking interactions between the neighboring aryl-ring of BBI's,which helps to form a three-dimensional crystal structure.     

专业大类教学模式下公共数学课程体系的改革与设计

高等数学课程对实现高校的人才培养目标起着十分重要的作用.在当前按照专业大类招生并组织教学的情况下,高等数学的课程教学遇到了前所未有的问题与挑战.总结近年来我校高等数学课程体系和教学内容改革的实践经验,重新设计了高等数学课程的体系(模块),提出了进行了相应教学内容改革的意见,形成了整体课改方案,并分析了本方案所具有的特色.     

{[La(phen-dione)2(H2dhtp)0.5(H2O)]·H2O}n配合物的合成、晶体结构及荧光性质

采用低温水热法合成了一个新的镧(Ⅲ)配位聚合物{[La(phen-dione)2(H2dhtp)0.5(H2O)]·H2O}n(phen-dione＝1,10-邻菲啰啉-5,6-二酮,H2dhtp＝2,5-二羟基对苯二甲酸酯).单晶衍射分析结果表明,该配合物属三斜晶系,P-1空间群,晶胞参数为a＝9.4600(19)nm,b ＝11.810(2)nm,c ＝12.280(3)nm,α＝93.34(3)°,β＝106.74(3)°,γ＝103.21(3)°,V＝1267.7(5)nm3,Dc ＝1.806 g/cm3,Z＝2,μ＝1.752mm-1,F(000)＝678.用X-射线单晶衍射、元素分析、IR、TG和荧光光谱对配合物进行了表征.测量晶体的荧光光谱特性发现,该配合物在488 nm 和532nm有较强的荧光发射峰.     

扰动方程的优化正则解及其收敛阶估计

在扰动方程的正则化求解问题中，解的收敛性估计是十分重要的．针对Wang Y Y等在2001年中所给出的正则化解法结果，给出相应正则解的收敛阶估计．     

高等数学课程分层次教学理念的思考和举措

高等数学课程是高校所有专业的基础课程之一,对实现高校的人才培养目标起着十分重要的作用.本文遵循因材施教的原则,科学设计了分层次教学模式,对于开展分层次教学的意义和理论依据作了阐述,提出了分层次教学模式的组织与实施,并就教学内容、教学方法、考核模式的改革给出相应的实施方案.     

扰动方程的改进正则解及其数值分析

对滞右端扰动数据的第一类紧算子病态方程,文[2]给出了改进的Tokhonov正则化解法,本文以此为依据,对该解法举例进行例法分析。     

A Benzimidazole-pyridine-2,3-dicarboxylic Acid Bridged Zinc(Ⅱ) Coordination Complex–crystal Structure,Quantum Chemistry and Luminescence

The structure of a zinc(Ⅱ) coordination complex(1), [C_(14) H_(10) N_3 O_5 Zn_(1.5)]_n or [Zn_(1.5)(bzim)(pydc)(H_2 O)]_n(H_2 pydc = pyridine-2,3-dicarboxylic acid, Hbzim = benzimidazole), has been determined by X-ray crystallography and characterized by elemental analysis, IR spectrum and luminescence. Chemical formula: C_(14) H_(10) N_3 O_5 Zn_(1.5). It crystallizes in the monoclinic system, space group P2_1/c with a = 12.303(4), b = 12.052(4), c = 10.212(3) ?, β = 104.147(4), V = 1468.3(8) ?~3, Z = 4, M_r = 398.30, D_c = 1.802 g/cm~3, F(000) = 800, μ = 2.501 mm-1 and S = 1.000. The 2-D network architecture of 1 is constructed from benzimidazole, zinc and pyridine-2,3-dicarboxylic acid. The quantum-chemical calculations have been performed on ‘molecular fragments' extracted from the crystal structure using the B3 LYP method in Gaussian 09. The luminescence spectrum shows that complex 1 emits blue luminescence.