Diplomas/Degrees
Diplomas/Degrees
Mathematical Sciences, MS, Clemson University
Applied Mathematics, BS, UAA
Applied Mathematics , MS, UAA
Licenses and Certifications
Licenses and Certifications
MITx 6.419x: Data Analysis: Statistical Modeling and Computation in Applications
MITx 18.6501x: Fundamentals of Statistics
MITx 6.86x: Machine Learning with Python-From Linear Models to Deep Learning
MITx: 6.431x Probability: The Science of Uncertainty and Data
Recent Courses
Recent Courses
Calculus II
Introduction To Ordinary Differential Equations
Linear Algebra
Mathematical Modeling And Data Analysis
Multivarable Mathematics
Precalculus
Precalculus For Business And Life Sciences
Research In Mathematics
Courses Previously Taught
Courses Previously Taught
Fall 2025:
MTH 110 Precalculus for Business; MTH 140 Precalculus; MTH 142 Calculus 2; MTH 363 Mathematical Modeling and Data Analysis; MTH 499 Research Methods
Summer 2025:
MTH 140 Precalculus
Spring 2025:
MTH 140 Precalculus; MTH 250 Multivariable Mathematics; MTH 253 Linear Algebra; MTH 240 Introduction to Differential Equations
Fall 2024:
MTH 140 Precalculus; MTH 141 Calculus 1; MTH 110 Precalculus for Business; MTH 110 Precalculus for Business (CPCS); MTH 601 Data Science
Summer 2024:
MTH 140 Precalculus; MTH 141 Calculus 1
Spring 2024:
MTH 431 Analysis; MTH 140 Precalculus (AUI); MTH 110 Precalculus for Business (CPCS); MTH 392 Research Methods; MTH 250 Multivariable Mathematics; MTH 362 Mathematical Statistics
Fall 2023:
MTH 141 Calculus 1; MTH 140 Precalculus; MTH 110 Precalculus for Business and Life Sciences; MTH 391 Research Methods; Introduction to Numerical Methods in Deterministic Models
Summer 2023:
MTH 140 Precalculus
Spring 2023:
MTH 140 Precalculus (AUI); MTH 142 Calculus 2; MTH 250 Multivariable Mathematics
Fall 2022:
MTH 110 Precalculus for Business and Life Sciences (2 sections); MTH 140 Precalculus; MTH 141 Calculus 1; MTH 698 Introduction to Numerical Methods in Deterministic Models
Spring 2022:
MTH 250 Multivariable Mathematics; MTH 140 Precalculus; MTH 105 Explorations in Mathematics
Fall 2021:
MTH 391 Independent Study: Research Methods and Statistics;
MTH 391 Independent Study: Data Visualization;
MTH 142 Calculus 2; MTH 140 Precalculus; MTH 105 Explorations in Mathematics
Summer 2021:
MTH 113 Survey of Statistics; MTH 105 Explorations in Mathematics
Spring 2021:
MTH 253 Linear Algebra; MTH 140 Precalculus; MTH 110 Precalculus for Business
Fall 2020:
MTH 110 Precalculus for Business; MTH 140 Precalculus; MTH 141 Calculus 1; MTH 142 Calculus 2
Spring 2020:
MTH 225 Data Analytics; MTH 141 Calculus 1; MTH 110 Precalculus for Business; MTH 105 Explorations in Mathematics
Fall 2019:
MTH 391 Independent Study: Numerical Analysis;
CSC 171 Introduction to Computing Programming Lab (lecture by Dr. Josh Hiller);
MTH 140 Precalculus; MTH 110 Precalculus for Business; MTH 113 Survey of Statistics
Spring 2019:
MTH 113 Survey of Statistics; MTH 110 Precalculus for Business;
MATH 225 Statistics and Data Analytics; MATH 250 Multivariable Mathematics;
MATH 391 Independent Study: Scientific Computing with MATLAB
Fall 2018:
MTH 140 Precalculus; MATH 141 Differential Calculus (Calculus 1); MATH 225 Statistics and Data Analytics
Specialization/Interests
Specialization/Interests
My academic interests center on applied mathematics, mathematical modeling, data science, and mathematics education, with a particular emphasis on using ordinary differential equations, statistical analysis, and data-driven methods to explore socially relevant and justice-oriented problems. My work focuses on integrating real-world contexts such as public-health inequities, environmental sustainability, resource accessibility, and population dynamics into undergraduate mathematics curricula.
I am especially interested in research-based learning and community-engaged mathematics, creating pathways for students to participate in authentic undergraduate research. This includes guiding students through the full research process, from reviewing literature and formulating mathematical and statistical models to analyzing data, interpreting results, and communicating findings through written reports and presentations.
Additional interests include equity and access in mathematics education, interdisciplinary collaboration, and broadening participation of underrepresented students in STEM. Through my teaching and scholarly activities, I aim to demonstrate mathematics and data science as powerful tools for understanding and addressing complex societal challenges.
Teaching Philosophy
Teaching Philosophy
As a mathematics educator, I strive to create inclusive and supportive learning environments where students from all backgrounds can thrive and see themselves as capable mathematical thinkers. My teaching challenges the dominant narrative of mathematics as a field reserved for isolated geniuses by emphasizing collaboration, creativity, and the many ways people engage with mathematical ideas. I believe that mathematics is not only a technical discipline, but also a human endeavor shaped by context, perspective, and lived experience.
Through culturally responsive pedagogy and a strong commitment to equity, I encourage students to build confidence, take intellectual risks, and view mistakes as an essential part of the learning process. I design my courses to value discussion, multiple problem-solving strategies, and real-world applications, allowing students to connect abstract concepts to meaningful questions. Across my teaching, I integrate mathematical modeling, data analysis, and technology to help students interpret information critically and understand the role mathematics and data science play in society.
My goal is to help students find purpose in mathematics and recognize its power to describe, analyze, and transform the world around them. By fostering curiosity, community, and critical thinking, I aim for students to leave my classroom not only with stronger quantitative and analytical skills, but also with a sense of belonging, agency, and confidence in their ability to engage with mathematics and data in thoughtful and socially informed ways.
Research Interests
Research Interests
My research interests span numerical analysis, scientific computing, and mathematical sociology, with a strong emphasis on applications that connect mathematics, data, and social context. I am particularly interested in the use of numerical methods and computational techniques to approximate solutions to complex systems that arise in real-world settings, including models governed by differential equations and data-driven frameworks.
A central component of my work explores how mathematics and data science can be used to study social structures, inequities, and collective behavior. Through mathematical modeling, statistical analysis, and computational tools, I investigate questions at the intersection of mathematics, society, and education. I am also interested in mathematics education and pedagogy, particularly in the design of research-based and equity-focused learning experiences that integrate modeling, data analysis, and technology.
My research aims to bridge theoretical mathematics, computation, and socially meaningful applications, while creating opportunities for undergraduate students to engage in authentic research experiences that connect mathematics to issues that matter beyond the classroom.
International Experience
International Experience
Spring 2013:
Differential Calculus for Engineering
Fall 2012:
College Algebra
Articles
Articles
Introducing Data Science to Medical Students: A Workshop Overview
Monica Morales Hernandez; Sherli Koshy-Chenthittayil
DOI: https://doi.org/10.1080/29932955.2025.2587507
Dismantling the Genius: A Pop Culture Lens on Math and Belonging
MAA – Math Values
https://maa.org/math-values/dismantling-the-genius-a-pop-culture-lens-on-math-and-belonging/
Maths with Heart: A Reflection on How Compassionate Teaching Could Reduce Anxiety and Empower Students
https://tinyurl.com/46bde4e2
Efficiency and Robustness of the (Anderson)–Picard–Newton Iteration for Solving Nonlinear PDEs
Jessica Franklin; Elizabeth Hawkins; Monica Morales-Hernandez; Leo G. Rebholz
16th World Congress in Computational Mechanics (WCCM)
July 21–26, 2024, Vancouver, Canada
https://www.scipedia.com/wd/images/8/85/Draft_Sanchez_Pinedo_87610830626.pdf
The Dynamics of BTS
Rhizomatic Revolution Review, The R³ Journal
Monica Deni Morales-Hernandez
December 2023
https://ther3journal.com/issue-4/the-dynamics-of-bts/
Using 2020 Spring Student Experience Data to Inform Future Course Planning
Monica D. Morales-Hernandez; Sherli Koshy-Chenthittayil; Pamela E. Harris;
Alicia Prieto Langarica; Melissa Gutiérrez González
https://tinyurl.com/y3698xxa
A Note on Helicity Conservation in Leray Models of Incompressible Flow
Monica Morales Hernandez; Leo G. Rebholz
Journal of Mathematical Analysis and Applications, Vol. 422, Issue 1, pp. 776–781
February 1, 2015
Stability of the Crank–Nicolson–Adams–Bashforth Scheme for the 2D Leray-Alpha Model
Monica Morales Hernandez; Leo G. Rebholz; Cristina Tone; Florentina Tone
Numerical Methods for Partial Differential Equations, Vol. 32, No. 4, pp. 1155–1183
December 29, 2015
Corrigendum: An Efficient Recursive Algorithm in the Computational Modeling of the Bounded Growth of Biological Films
Monica Morales Hernandez; J. E. Macias-Diaz et al.
International Journal of Computational Methods, Vol. 10, No. 1, 1392001
February 28, 2013
An Efficient Recursive Algorithm in the Computational Modeling of the Bounded Growth of Biological Films
Monica Morales Hernandez; J. E. Macias-Diaz et al.
International Journal of Computational Methods, Vol. 9, No. 4, 1250050
2012
The Dynamics of Vincent Van Gogh
Conditionally accepted, Journal of Humanistic Mathematics
Theses Advised
Theses Advised
Elizabeth Liu (In progress) Honors thesis
Madina Tuktina (Fall 2024-Spring 2025) Thesis: Can simple technical indicators effectively predict short-term stock price movements?
Courtney Murphy (Fall 2024-Spring 2025) Honors thesis: Disrupting the Math Anxiety Cycle: Strategies for Reducing Math Anxiety and Fostering Cooperative Learning.
Alyssa Rashid (Fall 2023 - Spring2024) Honors thesis: Identifying The Best Multilingual Practices To Incorporate Into Mathematics Classrooms
Mikayla Moerler (Fall 2021) Thesis: A Statistical Study On The Performance Of Olympic And Collegiate Athletes Throughout History.
Projects Mentored
Projects Mentored
Graduate Student Projects
Data Analysis Projects for Medically Underserved Populations
Summer 2024–Present
Momilani Tupu*
Thrisha Reddy*
Giovanni Park*
Julie Paik*
Reina Takaki*
Sydney Unciano*
Hispanic–Latinx Community Health Concern Assessment
Summer 2024–Present
Micah Kwallek*
Raymond Rendon*
Jeancarlo Marron*
Advisor: Dr. Sherli Koshy, Touro University Nevada
Co-Advisor: Monica D. Morales-Hernandez
*Graduate Student at Touro University Nevada
Undergraduate Student Projects
A Mathematical and Data-Driven Analysis of Social Justice in Film
Fall 2025-Present
Niharika Nirankari, Qianyi Jiang
Adelphi University
Honors and Accomplishments
Honors and Accomplishments
Association for Women in Mathematics Service Award 2022 Recepient
EvenQuads Playing Cards. Committee members: sarah-marie belcastro (Chair), Sherli Koshy-Chenthittayil, Linda McGuire, Monica Morales-Hernandez, Denise A. Rangel Tracy, and Oscar Vega)
University Service
University Service
Mathematics and Computer Science UPRC
Chemistry UPRC
Mathematics and Computer Science Senator
Member of the Hispanic Serving Institution Task Force
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