Browsing by Thesis Department "Mathematics"
Now showing items 15 of 5

Cohomology of Finite Modules over Short Gorenstein Rings
(2016)We study two formal power series in the indeterminate t that generalize the Poincar´e series of a module. In the context of a Gorenstein local ring whose maximal ideal m satisﬁes m³ = 0, we prove that these two power ... 
The Effects of Math Recovery on the LowPerforming Mathematics Student
(2012)This study examined the effectiveness of the course, Math Recovery, on a group of ninthgrade students enrolled in the course Algebra/Geometry I measured by course grades and subsequent tenthgrade MAP scores. In addition, ... 
Generalizations of theorems from the Theory of Functions
(University of Missouri, 1915)Text from introduction: "Practically all of the text books and lectures on the Theory of Functions of a Complex Variable treat only those functions which have a derivative in every point of some given region. This derivative ... 
Generalized Koszul Properties of Commutative Local Rings
(2014)We study several properties of commutative local rings that generalize the notion of Koszul algebra. The properties are expressed in terms of the Ext algebra of the ring, or in terms of homological properties of powers ... 
Integration by parts formulas for higher order operators and applications to boundary value problems
(University of MissouriColumbia, 2016)Green formulas for differential operators are important tools in the study of Partial Differential Equations. The first such formula, published in 1828, was obtained by George Green for the Laplacian in three dimensions. ...