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Keith Gallagher Prospectus

Student Use of Visualization and Example Generation in Undergraduate Topology

Abstract: Research into undergraduate mathematics education has examined students’ learning and understanding of proof in contexts such as algebra and analysis. However, students’ approaches to proof in topology are underrepresented in the literature. This study investigates the ways in which students approach proofs in undergraduate topology. Specifically, this study looks at the ways in which students use and construct examples, counterexamples, and visual resources when proving or disproving topological conjectures. Preliminary data analysis show several emerging themes, including the construction of diagrams to serve as generic examples during orientation to novel concepts and the propensity of students to construct diagrams in response to the need for counterexamples. This talk will discuss the existing literature on proof, examples and counterexamples, and visualization in undergraduate mathematics education, and it will present the themes which have emerged from the data based on these preliminary analyses and discuss potential future trajectories for this study.

Date: 5/1/2018
Time: 10:00AM-11:00AM
Place: 315 Armstrong Hall

Everyone is invited to attend.

Date, Location: 
2018-05-01

Department Picnic

Each year at the end of the spring semester, the Math department and the WVU math club host a picnic. Everyone is welcome to attend, especially students who are considering declaring a math minor or adding a math major.

The picnic is also a nice way to interact with faculty in a casual setting. There will be hamburgers and hot dogs, and we ask that you bring a dish for the potluck.

Date: 4/21/2018
Time: 12:00PM-5:30PM
Place: Krepps Park Shelter

Please check your email for RSVP instructions.

Date, Location: 
2018-04-21

Chris Short Ph.d Defense

Reducing Spatial Stochastic Models of Membrane Receptors to Approximately Equivalent Chemical Reaction Networks through Coarse Graining

Date: 4/6/2018
Time: 1:00PM-2:30PM
Place: 207 Armstrong Hall

Mr. Short will present his dissertation in the first part; this public presentation is open to everybody.

Date, Location: 
2018-04-06

Ms. Miaomiao Han Ph.D defense

Date: 4/5/2018
Time: 2:00PM-3:30PM
Place: 216 Hodges Hall

All are welcome.

Date, Location: 
2018-04-05

Jiaao Li Ph.d Defense

Group Connectivity and Modulo Orientations of
Graphs

Date: 4/5/2018
Time: 3:30PM-5:00PM
Place: 315 Armstrong Hall

All are welcome.

Date, Location: 
2018-04-05

5th Annual Integration Bee Finals

This will be an integration contest open to all students. All integrals can be solved by techniques of Math 156.

More information can be obtained from the following links.
Website
Flyer
Rules

Please direct questions/comments:
Casian Pantea: cpantea@math.wvu.edu
Charis Tsikkou: tsikkou@math.wvu.edu

Date, Location: 
2018-04-05

Murong Xu Ph.D Defense

A study on Graph Coloring and Digraph Connectivity

Date: 3/29/2018
Time: 3:30PM-5:00PM
Place: 315 Armstrong Hall

All are welcome.

Date, Location: 
2018-03-29

5th Annual Integration Bee Qualifier

This will be an integration contest open to all students. All integrals can be solved by techniques of Math 156.

More information can be obtained from the following links.
Website
Flyer
Rules

Please direct questions/comments:
Casian Pantea: cpantea@math.wvu.edu
Charis Tsikkou: tsikkou@math.wvu.edu

Date, Location: 
2018-03-22

Ms. Fariha Elsrrawi Ph.D Defense

Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections

Date: 3/8/2018
Time: 5:30PM-7:00PM
Place: 315 Armstrong Hall

Ms. Fariha Elsrrawi will present her dissertation in the first 45 minutes and this is open for everybody. The second 45 minutes is not open to public.

All are welcome.

Date, Location: 
2018-03-08

Zhang Zhang Ph.D Qualifying Exam

Zhang Zhang's Qualifying Exam

Date: 3/8/2018
Time: 3:30PM-5:30PM
Place: 315 Armstrong Hall

***The first part of her qualifying exam will be
her presentation on her dissertation prospectus, which is open
to the public, and all are welcome.

Date, Location: 
2018-03-08

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