Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 584 for “"Calculus"”.
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Operational Calculus
The Operational Calculus is a construction used for analyzing the behavior of linear operators that arise in the study of ordinary and partial differential equations. Given a linear operator T and a class of functions F, one rigorously defines a new operator f(T) for each f in F and establishes …
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High School Calculus: Is AP Calculus the best option?
… talented individuals who may be entering an AP Calculus course. Research shows that many students entering AP Calculus end up terminating their mathematical careers before even starting college. This thesis provides an alternative approach to AP Calculus; a non- AP Calculus exemplar unit that …
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The Other Calculus: a Survey of the Calculus of Finite Differences
The Calculus of Finite Differences is a fascinating field of mathematics which is easily accessible to an undergraduate mathematics major. This paper attempts to present a broad survey of results from this field which show its richness, without appealing to deep results in analysis. Topics covered …
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Mailliavin Calculus With Applications
Malliavin-laskenta, joka tunnetaan myös nimellä stokastinen variaatio-laskenta, on differentiaali-laskentaa ääretönuloitteisella Wiener-avaruudella. Teoria nojaa laajalti Ito-laskentaan, ja pyrkii tutkimaan Wiener-funktionaalien muodostaman avaruuden rakennetta, sekä kyseisten funktionaalien …
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Calculus for decision systems
… This framework is a process algebra called Calculus for Decision Systems (CDS). This calculus provides means to create mathematical expressions that capture how the systems interact and react to different stimuli. It also provides the ability to formulate procedures to analyze these …
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Nonstandard analysis based calculus
In the first part of the project the elementary development of an extended number system called Hyperreals is discussed. The second half of this project develops the basics of Nonstandard Analysis, including the theory of ultrafilters, and the formal construction of the Hyperreals.
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Nonstandard analysis based calculus
In the first part of the project the elementary development of an extended number system called Hyperreals is discussed. The second half of this project develops the basics of Nonstandard Analysis, including the theory of ultrafilters, and the formal construction of the Hyperreals.
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Goodwillie calculus and I
… finite sets and injective maps in Goodwillie's calculus of homotopy functors. By careful analysis of the cross-effects of a reduced endofunctor of based spaces, this point of view leads to a monoidal model for the derivatives. Such structure induces operad and module structures for derivatives …
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Physics experiences and calculus: How students use physics to construct meaningful conceptualizations of calculus concepts in an interdisciplinary calculus /physics course
… by which students enrolled in an integrated Calculus/Physics course use their understanding of physics to inform their conceptualizations of calculus concepts. This study utilized a multiple case study design with analysis by and across cases. The cases represent eight first year students in …
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A comparative study of the traditional Calculus course vs. the Calculus & Mathematica course
Submitted by Brian Clark (clark56@illinois.edu) on 2016-06-13T21:36:26Z No. of bitstreams: 1 Park_1993.pdf: 11260078 bytes, checksum: bf7cb5522b3bd5b3e40e1837a2aa4a29 (MD5)
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Realtime Calculus mit hierarchischen Ereignisströmen
… Grundlage des Analyseverfahrens ist der Realtime Calculus, der es erlaubt das Echtzeitverhalten heterogener Systeme zu untersuchen. In einem ersten Schritt wird in dieser Arbeit eine Referenzimplementierung der betrachteten Algorithmen vorgenommen. Daran anschließend findet eine formale Analyse …
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Computation in director string calculus
… introduce a modified version of Director String Calculus (MDSC) which preserves the applicative structure of the original lambda terms and captures the strong reduction as opposed to weak reduction of the original Director String Calculus (DSC). Furthermore, our reduction system provides an …
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Subexponentials in Nonassociative Lambek Calculus
We focus on a family on noncommutative nonassociative substructural logics enriched with subexponentials, unary modalities licensing local application of structural rules. Primarily, we prove upper and lower bounds on complexity of provability in a broad class of these logics. To uniformly frame …
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Equivariant Schubert calculus and applications
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-15 without embargo terms
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Themes in numerical tensor calculus
… but related, aspects of numerical tensor calculus. First, we introduce a simple, black-box compression format for tensors with a multiscale structure. By representing the tensor as a sum of compressed tensors defined on increasingly coarse grids, the format captures low-rank structures on …
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Schubert calculus in generalized cohomology
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1989.
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Cotangent Schubert Calculus in Grassmannians
We find formulas for the Segre-MacPherson classes of Schubert cells in T-equivariant cohomology and the motivic Segre classes of Schubert cells in T-equivariant K-theory. In doing so we look at the pushforward of the projection map from the Bott-Samelson (Kempf-Laksov) desingularization to the …
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