advanced mathematics program
TRANSCRIPT
RESEARCH POSTER PRESENTATION DESIGN © 2012
www.PosterPresentations.comRESEARCH POSTER PRESENTATION DESIGN © 2015
www.PosterPresentations.com
• The Advanced Mathematics Program (AMP) is a month long
summer enrichment program to prepare mathematics
undergraduate students for their core major classes.
• Consists of daily three hour preparatory workshops on real
analysis and abstract algebra over two weeks.
• Free for students to attend and 60% of the 33 participants
received financial support from the program.
• University of California, Riverside (UCR) is a R1 Research
University and a Hispanic serving institution.
AMP has been awarded two grants:
➢ A mini-grant from the NSF INCLUDES project "Women
Achieving Through Community Hubs in the United States
(WATCH US)”.
➢ A 2018 Mathematical Association of America Tensor-SUMMA
(Strengthening Underrepresented Minority Mathematics
Achievement) grant.
An Introduction to AMP
Goals
• Students are recruited via email.
• Awarded 20 stipends to help participants attend the program.
• AMP encompasses two sections the first half on analysis and the
second on algebra. Students could sign up for only one or both.
• Anonymous demographic surveys were given at the beginning of
each section and program review surveys were given every Friday.
Five talks given by mathematicians:
• Edray Herber Goins, President of NAM, Pomona College
• John Simanyi, Recent UCR Graduate, Victor Valley College
• Mark Alber, Distinguished Professor of Mathematics at UCR
• Alessandra Pantano, Teaching Professor at UC Irvine
• Anthony Muro Villa III, PhD Candidate at Stanford University
Conclusions/Remarks
• Three hours a day is the correct length for the program. It allows
participants to stay focused and keep up with other responsibilities.
• The stipends allow for the participants to fully engage with the
program & attend consistently. Some participants had to commute
long distances or crash on friend’s couches to participate.
• It is expected that an early exposure to key concepts from analysis
and abstract algebra will ease the students' experience in these very
difficult upper division courses, and improve their success rate.
• Because most of the students participating in the program are either
female, minority, or first generation, this is a small step towards
closing the achievement gap in mathematics.
• The speakers were great and served as mentors. The participants
were able to bond with them and get great career advice. We will try
to continue this aspect of the program in the academic year.
• Significant efforts were put into preparing students for the many
trials they are likely to face in the pursuit of a mathematics career.
Acknowledgements
I would personally like to thank:
• Po-Ning Chen the Faculty Advisor for the Advanced Mathematics
Program and PI for our grants.
• Women Achieving Through Community Hubs in the United States
(Watch US) for their financial support of our students.
• The Mathematical Association of America and the Tensor
Foundation for their financial support of our students and funding
for travel for our speakers.
• The UCR Mathematics Department for the rooms, projectors,
website space, help with grant submission, stipend disbursement
and pay for our instructors.
• The Math Department's Financial Affair’s Officer Melissa Gomez
for designing and maintaining our online application form.
• The UCR Office of Undergraduate Education for certificates.
• Dylan Noack and John Simanyi for designing our logo.
• All of our volunteer instructors from our beta program in Summer
of 2017: Bryan Carrillo, Charles Holderman, Dane Lawhorne,
Lawrence Mouillé, Dylan Noack, John Simanyi, and, Andrew
Walker.
Contact
Tim McEldowney
Advanced Mathematics Program Creator and Coordinator
PhD Candidate in Mathematics at UC Riverside
Expected Graduation in June 2019
• To expose math majors to key concepts from abstract algebra and
real analysis early thus improving their success rate in those
courses.
• Inform students about possible careers in mathematics and how to
attain them via talks by current mathematicians.
• To promote diversity and equity in the field of mathematics by
providing funding and resources to students from historically
underrepresented backgrounds.
Program Logistics
Tim McEldowneyUniversity of California, Riverside
Advanced Mathematics Program
Instructors Subjects
Bryan Carrillo
Christina Knox
Real Analysis: absolute value properties,
convergence and divergence of sequences,
and theorems about sequences then used
those to define the limit of a function
before finally giving the epsilon-delta
definition of a limit of a function.
Brandon Coya
Dane Lawhorne
Abstract Algebra: basic set theory, groups,
isomorphic groups, dihedral groups, cyclic
groups, group homomorphisms,
subgroups, normal subgroups, quotient
groups, and the first isomorphism
theorem.
Material Covered
Participant Quotes
Gender Identity # out of 33 Percentage
Female 18 55%
Male 14 42%
Nonbinary 1 3%
Race/Ethnicity # out of 33 Percentage
Latinx or
Hispanic American16 48%
Native American or
Alaskan Native2 6%
Black or
African American3 9%
East Asian or
Asian American7 21%
South Asian or
Indian American2 6%
Middle Eastern or
Arab American2 6%
Non-Hispanic
White or
Euro-American
4 12%
17 of the participants are first-generation college students.• “ I can’t think of any [improvements] at this point. The program was
great, and I feel like I learned a lot. The talks were very informative
too.”
• “..The program surpassed my expectations. I really like the first guest
speaker [Dr. Edray Goins]. He was amazing.”
• “.. I think I received a lot of useful information that I will be able to
use in my future classes.”
• “..my expectations were met. I especially liked the worksheets as it
challenged us to think about
the problems and apply what
we learned in class.”
• “.. this program is perfect.”
Demographics