Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Institution
- Publication
- Publication Type
Articles 1 - 9 of 9
Full-Text Articles in Physical Sciences and Mathematics
Oer Ellipses And Traditional Rapanui Houses On Easter Island, Cynthia Huffman Ph.D.
Oer Ellipses And Traditional Rapanui Houses On Easter Island, Cynthia Huffman Ph.D.
Faculty Submissions
This worksheet activity is appropriate for secondary students in a class studying conic sections or students in a college algebra class. The first part of the activity gives an algebraic review of ellipses with exercises while the second part finds the equation of an ellipse corresponding to a Rapanui boat house foundation.
Supporting Our Struggling Students: Details Of A Hybrid Mathematics Summer Bridge Program, Anita White, Patrick Davis, Marti Shirley
Supporting Our Struggling Students: Details Of A Hybrid Mathematics Summer Bridge Program, Anita White, Patrick Davis, Marti Shirley
Faculty Publications & Research
It goes without saying that the schools in the consortium are used to dealing with gifted and talented students. However with such high-caliber students, we also have high expectations. What resources do we offer to the students who struggle at our institutions? This presentation will detail the setup and results of EXCEL2 - a summer bridge program offered at the Illinois Mathematics & Science Academy to help students who were unable to meet course expectations. The program operated through a hybrid online/in-person model - with instruction primarily given through video conferencing but coupled with an on-campus experience.
Oer Indoor Ellipse Multicultural (Easter Island) Activity, Cynthia Huffman Ph.D.
Oer Indoor Ellipse Multicultural (Easter Island) Activity, Cynthia Huffman Ph.D.
Faculty Submissions
This activity would fit in with a secondary or college algebra class studying conic sections, in particular ellipses, and gives students a multicultural hands-on application of the definition of an ellipse, while tracing out a scale model of the foundation of a hare paenga (boat house) from prehistoric Easter Island (Rapa Nui)..
Oer Outdoor Ellipse Multicultural (Easter Island) Activity, Cynthia Huffman Ph.D.
Oer Outdoor Ellipse Multicultural (Easter Island) Activity, Cynthia Huffman Ph.D.
Faculty Submissions
This activity would fit in with a secondary or college algebra class studying conic sections, in particular ellipses, and gives students a multicultural hands-on application of the definition of an ellipse, while tracing out a full-scale model of the foundation of a hare paenga (boat house) from prehistoric Easter Island (Rapa Nui)..
Studies On Polynomial Rings Through Locally Nilpotient Derivations., Nikhilesh Dasgupta Dr.
Studies On Polynomial Rings Through Locally Nilpotient Derivations., Nikhilesh Dasgupta Dr.
Doctoral Theses
No abstract provided.
Higher Chow Cycles On The Jacobian Of Curves., Subham Sarkar Dr.
Higher Chow Cycles On The Jacobian Of Curves., Subham Sarkar Dr.
Doctoral Theses
The following formula, usually called Beilinson’s formula — though independently due to Deligne as well — describes the motivic cohomology group of a smooth projective variety X over a number field as the group of extensions in a conjectured abelian category of mixed motives, MMQ.The aim of this thesis is to describe this construction in the case of the motivic cohomology group of the Jacobian of a curve. The first work in this direction is due to Harris [Har83] and Pulte [Pul88], [Hai87]. They showed that the Abel-Jacobi image of the modified diagonal cycle on the triple product of a …
Delaunay Surfaces Expressed In Terms Of A Cartan Moving Frame, Paul Bracken
Delaunay Surfaces Expressed In Terms Of A Cartan Moving Frame, Paul Bracken
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Delaunay surfaces are investigated by using a moving frame approach. These surfaces correspond to surfaces of revolution in the Euclidean three-space. A set of basic one-forms is defined. Moving frame equations can be formulated and studied. Related differential equation which depend on variables relevant to the surface are obtained. For the case of minimal and constant mean curvature surfaces, the coordinate functions can be calculated in closed form. In the case in which the mean curvature is constant, these functions can be expressed in terms of Jacobi elliptic functions.
Geometry Across The Curriculum, Corey Dunn
Geometry Across The Curriculum, Corey Dunn
Q2S Enhancing Pedagogy
This project is designed for a multicalculus class already familiar with computing the arc length of a parameterized curve in space. The activity asks the student to first recall basic facts about arc length, and then introduces the notion of measuring lengths of vectors differently, depending on where their initial point is. This is a foundational concept in metric differential geometry, and, this activity attempts to motivate this generalization of computing lengths of vectors through this arc length activity. The activity concludes with a short discussion of basic concepts of Lorentzian geometry, including the idea that lightlike vectors have length …
Cartan’S Approach To Second Order Ordinary Differential Equations, Paul Bracken
Cartan’S Approach To Second Order Ordinary Differential Equations, Paul Bracken
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
In his work on projective connections, Cartan discusses his theory of second order differential equations. It is the aim here to look at how a normal projective connection can be constructed and how it relates to the geometry of a single second order differential equation. The calculations are presented in some detail in order to highlight the use of gauge conditions