# News

## Brittany Vincent Prospectus 1/30/2015

Calculus Students' Concept Images of Tangent Line

**Date:** 1/30/2015**Time:** 3:30PM-5:30PM**Place:** 315 Armstrong Hall

Brittany Vincent will present her dissertation prospectus this Friday (1/30) at 3:30 PM in 315 ARM. All are welcome for her presentation and a question/answer period. Following the talk, there will be an oral examination open only to the candidate and her committee.

**Abstract:**My research seeks to explore students' understanding of tangent lines in first semester calculus. In calculus, a tangent line is defined as the limiting position of secant lines, where the slope is equal to the derivative. Tangent lines are used in many applications in calculus, such as Newton's method, linear approximations, curve sketching, optimization problems, and the Mean Value Theorem. Results from my pilot studies have revealed that some students have a lot of difficulty sketching tangent lines and that various misconceptions about tangent lines exist among students in first semester calculus. I will be incorporating the theoretical perspectives of concept image and concept definition, processes-object pairs, and assimilation and accommodation to discuss how students think about tangent lines and how their understandings may change over the course of a semester.

## Ms. Emine Guven Prospectus 12/15/2014

Toward a Predictive Model of Spontaneous Clustering of VEGF Receptors

Date: 12/15/2014

Time: 11:00AM-11:30AM

Place: TBD

## Renee LaRue Prospectus 12/1/2014

Students Understanding of Optimization Problems in First Semester Calculus.

Date: 12/1/2014

Time: 4:30PM-6:30PM

Place: 422 Armstrong Hall

*Special considerations

Abstract:

My research focuses on student understanding of optimization problems in first semester calculus. Optimization problems are complex word problems that require students to utilize prerequisite knowledge to construct a function that models a somewhat realistic situation and then use calculus techniques to find a maximum or minimum value. Using a blend of the theoretical perspectives of model-of/model-for and concept image and concept definition, I will describe how students learn and think about these problems and what barriers prevent them from developing a deep understanding of optimization.

*Everyone is invited to attend. Following the talk there will be an oral examination by her committee that is otherwise open only to graduate faculty that wish to attend in an observing capacity

## Fairouz Elmagbri Prospectus 11/17/2014

Nonparametric Estimation in Some Incomplete Models

Date: 11/17/2014

Time: 4:30PM-6:30PM

Place: 315 Armstrong Hall

Fairouz Elmagbri

Abstract: Download

## Pumpkin Carving

Halloween is just around the corner and so is the annual Math Club Pumpkin

Carving Event! Remember, the event is BYOP (bring your own pumpkin), but there will be pumpkin carving materials provided at the event.

Date: 10/27/2014

Time: 5:00PM

Place: 315 Armstrong Hall

## Club Meet

Math Club Organizational

Meeting

Date: 9/15/2014

Time: 5:00PM

Place: 315 Armstrong Hall

The first organizational meeting of Math Club will be next Monday,

September 15 at 5pm in ARM 315. All are welcome. If you are teaching

a class (especially one with math/engineering majors) and have a few

seconds to advertise it, that would be great.

This year, in addition to the usual social events, we will have regular

recreational math meetings-- for example, we may solve some Math

Monthly problems, discuss fun puzzles, etc.

## Todd Tichenor Qualifying Exam 9/2/2014

Graph Compositions of

"Dense" Graphs

Date: 09/2/2014

Time: 1:00PM-3:00PM

Place: 119 Armstrong Hall

Graph Compositions of "Dense" Graphs

Let G be a graph and let E(G) and V(G) represent the edge and vertex sets of G (respectively).

A composition of G is defined as a partition of V(G) into vertex sets of connected induced subgraphs of G.

We consider the number of compositions of complete graphs with certain families of graphs deleted

such as paths, cycles, stars, and sets of disjoint edges.

## WVU hosts the 27th Cumberland Conference

Talks will be held Friday and Saturday, May 16 and May 17

in Oglebay and Ming Hsieh Halls

Please click Here for more information about the Cumberland Conference.

## Fatma Mohamed Qualifying Exam 4/15/14

Asymptotic decay for the

Cauchy problem for thin films

Date: 04/15/2014

Time: 2:30PM-5:00PM

Place: Rm G27, Eiesland Hall

*All are welcome.

Abstract: We study the evolution of a thin film of fluid modeled by the lubrication approximation for thin viscous films. We prove existence of (dissipative) strong solutions for the Cauchy problem when the subdiffusive exponent ranges between 3/8 and 2; then it follows that these solutions tend to zero at rates matching the decay of the source-type self-similar solutions with zero contact angle. Finally, we introduce the weaker concept of dissipative mild solutions and we show that in the case 0

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