RSS 1.0Theses and Dissertations-Mathematics
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Application of the Lefschetz-Hopf Fixed Point Theorem to Closed Orientable Surfaces
(2007-12)No abstract prepared. -
Quasicontinuous Functions and Functions of Bounded Variation
(1965-08)The purpose of this investigation is threefold. First, since quasicontinuous functions are a generalization of continuous functions, properties of quasicontinuous functions similar to the properties of continuous functions ... -
Stokes' Theorem: Calculus of Differential Forms
(2004-12)This thesis connects a number of fields of mathematics in relation to Euclidean n-space. It defines the meanings of differentiation for functions between these spaces and gives an exposition of the inverse function theorem. ... -
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Exploring Prospective Elementary Teacher's Peer-Interviewer Verbal Interactions in a Mathematics Content Course
(2020-05)Responsive teaching interactions, an effective teaching practice, are difficult to develop. To train prospective elementary teachers of mathematics to interact responsively with students completing mathematics tasks, we ... -
Necklaces and Slimes
(2020-05)It was asked if one can find a bijective map between the following two objects: binary necklaces with n black beads and k white beads and certain (n, k)-codes whose weighted sum is 0 modulo n (Brauner et al.,2019 [9]; ...
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Finding an Upper Bound to the Order of Permutation Groups Using the Size of the Largest Conjugacy Class
(2020-05)No abstract prepared. -
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On the Pebbling Numbers of Graphs
(2005-05)Graph pebbling is an application which has evolved from the study of graph theory. The goal of pebbling m a graph is to use pebbling steps to move one pebble onto a designated root vertex. A pebbling step is produced ...
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On Depth of Powers of Ideals
(2011-04)The paper “The depth of powers of an ideal," by Herzog and Hibi is expanded to include background information and proof details. The numerical function f(k)=depth(S/Ik] is discussed where S is Noetherian local or standard ... -
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A Fast Solver for the Expanded Mixed Finite Element Method
(2018-04-16)We present a fast solver for expanded mixed finite element method with a discontinuous coefficient. Our result is based on the auxiliary space preconditioning method and the Crouzeix-Raviart Finite Element Method. -
Evolving Mathematical Identity for Post-Secondary Students
(2018-05)Mathematics encompasses more than formulas, theorems and proofs. For many, mathematics can be a way of life or even a culture and like within any culture, an individual who associates with that culture has an identity: a ... -
Assessing ITP Students' Validating Ability: Framing, Developing and Validating a Pilot Assessment
(2019-07-12)In this paper I discuss the process of creating a closed-form multiple-choice assessment of students’ ability to validate mathematical proofs at the introduction to proof (ITP) level. This process involved: (1) creating ... -
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Chinese middle school mathematics teachers' pedagogical content knowledge and cultural beliefs towards teaching
(2019-04-26)This study investigated the pedagogical content knowledge and cultural beliefs towards teaching of middle school mathematics teachers in Shandong, China. The study illustrates how four middle school mathematics teachers ...
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A new 5-step perturbation-based multicollinearity diagnostic package
(2019-04-16)The ordinary least squares method, for estimating unknown parameters of a multiple linear regression (MLR) model, produces an idealistic solution if the column vectors (regressors) of the design matrix X are linearly ...
