MA in Mathematics with Pure Mathematics Track

MA in Mathematics with Pure Mathematics Track Overview

 

Built on a foundation of principles of algebra, analysis, and other pure mathematics fundamentals, our online Master of Arts in Mathematics with Pure Mathematics track encourages you to round out your knowledge with a selection of science-focused electives. You’ll develop a deep conceptual understanding of graduate-level mathematics and an ability to solve real-world modeling and computational problems, preparing you for future teaching roles and doctoral studies.

We’ve designed this MA in mathematics program for:

  • High school educators seeking dual enrollment eligibility.
  • Aspiring community college and university adjunct faculty.
  • Professionals looking for a pathway to a PhD.

Our online program offers the flexibility to earn a degree around your professional commitments. Study part-time and complete your degree in about three years.

A Flexible, Customizable Experience


Customize your program with thesis and non-thesis options:

  • Our thesis option for this track focuses exclusively on mathematics and involves a virtual or in-person presentation.
  • Our non-thesis option requires completion of an exam covering core program courses, with the opportunity to retake if needed.

Enjoy further flexibility with live online courses:

  • Attend virtual lectures via live streaming video.
  • View recorded lecture sessions anytime.
  • Attend campus-based lectures, if convenient.

Make Connections


While you’ll learn with students from across the country (and the world) in our online MA in mathematics program, you’ll still enjoy a close connection with your classmates and professors. With small class sizes, our distinguished faculty can provide focused, individualized attention. You’ll also collaborate on assignments and build professional networks with your peers.

Graduate Pathways


Graduates of this UTPB mathematics master’s degree program are now working for institutions and organizations including:

  • Midland Independent School District
  • Ector County Independent School District
  • ConocoPhillips
  • EOG Resources
  • Honeywell International
  • Pioneer Natural Resources
  • NASA
  • The University of Texas System
  • Odessa College

Careers for MA in Mathematics with Pure Mathematics Track Graduates


When you finish your degree, you’ll be equipped to pursue career-advancing certifications and rewarding new roles such as:

 

 

Pure Mathematics Track Required Core (Thesis Option)
Courses
Duration
Credits
MATH 6315 - Principles of Algebra
16 weeks
3
Theory of rings, with an emphasis on commutative rings, integral domains, and principal ideal domains as generalizations of number systems. Topics include rings of polynomials, ideals, and quotient rings. Prerequisite: MATH 3315.
Prerequisites: N/A
Semesters Offered: Whole Fall 2025 Whole Spring 2027 Whole Fall 2028
MATH 6360 - Principles of Analysis
16 weeks
3
Investigation of convergence, continuity, differentiability, compactness and connectedness, the Riemann-Stieljes integral, and sequences of functions.
Prerequisites: N/A
Semesters Offered: Whole Spring 2026 Whole Fall 2027
MATH 6399 - Master's Thesis
16 weeks
6
Meets the research requirements for the thesis option in the master's degree program.
Prerequisites: N/A
Semesters Offered: Whole Spring 2025 Whole Summer 2025 Whole Fall 2025 Whole Spring 2026 Whole Summer 2026 Whole Fall 2026 Whole Spring 2027 Whole Summer 2027 Whole Fall 2027 Whole Spring 2028 Whole Summer 2028 Whole Fall 2028
Pure Mathematics Track Required Core (Non-Thesis Option)
Courses
Duration
Credits
MATH 6315 - Principles of Algebra
16 weeks
3
Theory of rings, with an emphasis on commutative rings, integral domains, and principal ideal domains as generalizations of number systems. Topics include rings of polynomials, ideals, and quotient rings. Prerequisite: MATH 3315.
Prerequisites: N/A
Semesters Offered: Whole Fall 2025 Whole Spring 2027 Whole Fall 2028
MATH 6360 - Principles of Analysis
16 weeks
3
Investigation of convergence, continuity, differentiability, compactness and connectedness, the Riemann-Stieljes integral, and sequences of functions.
Prerequisites: N/A
Semesters Offered: Whole Spring 2026 Whole Fall 2027
Pure Mathematics Track Electives

Thesis option elective requires additional 12 SCH of MATH graduate courses and 6 SCH of free electives, which may be all MATH or with advisor’s approval may be from other disciplines. Science free electives, particularly computer science (COSC) free electives, are strongly encouraged. Teaching certification requires at least 18 SCH with MATH prefix. Non-thesis option elective requires additional 12 SCH of MATH graduate courses and 12 SCH of free electives, which may be all MATH or with advisor’s approval may be from other disciplines. Science free electives, particularly computer science (COSC) free electives, are strongly encouraged. Teaching certification requires at least 18 SCH with MATH prefix.

Courses
Duration
Credits
MATH 6300 - History of Mathematics
16 weeks
3
A study of the personalities and motivations of historical mathematicians with an emphasis on many of the important results that lead to modern mathematics. Prerequisite: one year of college level mathematics.
Prerequisites: N/A
Semesters Offered: Whole Summer 2026
MATH 6311 - Applied Regression Analysis
16 weeks
3
An introduction to regression analysis techniques. Its focus will be on the application of linear regression models in practice but will cover basic theory of the linear model.
Prerequisites: MATH 6301 - Statistics MATH 6321 - Mathematical Statistics
Semesters Offered:
MATH 6312 - Multivariate Statistical Methods
16 weeks
3
This course is to introduce various topics in multivariate analysis and to provide some practical experience in their applications and interpretation. It is designed to broaden and enrich the student's knowledge and understanding of statistical methodology as it pertains to the study of multivariate techniques used in sciences and engineering.
Prerequisites: N/A
Semesters Offered:
MATH 6317 - Advanced Linear Algebra
16 weeks
3
Vector spaces, linear transformations and matrix representations, canonical forms, eigenvalues, invariant subspaces, orthogon al and unitary transformations, and bilinear and quadratic forms.
Prerequisites: N/A
Semesters Offered: Whole Summer 2027
MATH 6325 - Number Theory
16 weeks
3
A study of congruences, Euclidean algorithms, properties of prime numbers, primality testing, factorization algorithms, theory of quadratic residues, rational integers, Diophantine equations, linear congruences, and Euler-Fermat theorems.
Prerequisites: N/A
Semesters Offered: Whole Fall 2025 Whole Fall 2028
MATH 6328 - Discrete Models
16 weeks
3
Applications of discrete mathematics, including linear programming, game theory, Markov chains, and graph theory. Prerequisite: MATH 3315
Prerequisites: N/A
Semesters Offered: Whole Fall 2026
MATH 6332 - Combinatorics
16 weeks
3
Topics from enumerative (e.g. basic enumeration, bijections, inclusion-exclusion, recurrence relations, partitions) and nonenumerative (e.g. graph theory, connectedness, Eulerian/Hamiltonian properties, trees, colorings, planar graphs, Latin squares) combinatorics.
Prerequisites: N/A
Semesters Offered: Whole Summer 2025 Whole Summer 2028
MATH 6333 - Applied Probability
16 weeks
3
Populations, permutations, combinations, random variables, distribution and density functions, conditional probability and expectation; binomial, Poisson, and normal distributions; laws of large numbers, central limit theorem.
Prerequisites: N/A
Semesters Offered: Whole Spring 2025 Whole Spring 2028
MATH 6353 - Linear Models Theory
16 weeks
3
Linear algebra, multivariate distributions and distributions of quadratic forms, general linear hypothesis, linear regression, ANOVA, linear mixed models, linear longitudinal models.
Prerequisites: N/A
Semesters Offered:
MATH 6301 - Statistics
16 weeks
3
Statistical concepts emphasizing simple and multiple regression, hypothesis testing and analysis of variance. Prerequisite: one year of college level mathematics
Prerequisites: N/A
Semesters Offered: Whole Spring 2025 Whole Fall 2025 Whole Spring 2026 Whole Fall 2026 Whole Spring 2027 Whole Fall 2027 Whole Spring 2028 Whole Fall 2028
MATH 6389 - Selected Topics
16 weeks
3
Graduate courses which will be offered only once, will be offered infrequently or are being developed before a regular listing in the catalog.
Prerequisites: N/A
Semesters Offered: Whole Spring 2025 Whole Spring 2026 Whole Fall 2026 Whole Spring 2027 Whole Fall 2027 Whole Spring 2028
MATH 6305 - Bio Analytics
16 weeks
3
This course is an introduction to advanced analytics using the software 'R'. The course begins with the basics of data visualization and data manipulation and continues through the topics of linear models, clustering, decision trees, and reporting.
Prerequisites: N/A
Semesters Offered:
MATH 6321 - Mathematical Statistics
16 weeks
3
Discrete and continuous distributions, transformations of random variables, convergence in probability and distribution, Theory of Random Sample and Statistics as a random variable.
Prerequisites: MATH 6333 - Applied Probability
Semesters Offered:
MATH 6334 - Computational Statistics
16 weeks
3
Statistical and general programming with R and Python or Mathlab. No experience with the software is necessary.
Prerequisites: N/A
Semesters Offered:
MATH 6350 - Top In Geometry
16 weeks
3
Advanced two-dimensional Euclidean geometry, including theorems/problems about triangles/circles, isometries, connections with Euclid's axioms. Non-Euclidean (e.g. hyperbolic and finite) geometries in comparison to Euclidean geometry. Integrated use of dynamic geometry software tools. Prerequisite: MATH 3360
Prerequisites: N/A
Semesters Offered:
MATH 6391 - Contract Study in Mathematics
16 weeks
3
For students who are pursuing independent study or research (as described in the contract study format).
Prerequisites: N/A
Semesters Offered:

Admission Requirements

Regular Admission Status

  • Bachelor’s degree from an accredited college or university.
  • GPA of 3.0 or better in the last 60 credit hours.
  • One of the following:
    • Qualifying GRE scores:
      • Entrance Scores (ES) = 1600 minimum Entrance Score (ES) = (GPA x 267) + (GRE Quantitative Score x 5.23) (GPA equates to 50% of the decision, GRE Quantitative Reasoning equates to 50% of the decision).

Or:

    • Two letters of recommendation from professors who can attest to your mathematical ability and/or ability to succeed in graduate school (at least one must be a STEM professor).
      • Letters should be submitted to the Office of Graduate Studies and Research directly by the reference writer. Applicants must fill out and submit a waiver of right of access form for each letter of recommendation. Applicants can obtain this form by emailing the area coordinator of the graduate mathematics program.
  • At least one of the following courses or their equivalent with a B or better:
    • Math 4315 Algebraic Structures, or
    • Math 4360 Intermediate Analysis

A panel appointed by the mathematics department will review letters of recommendation or GRE scores and transcripts and make an admission recommendation.

Conditional Admission Status

Students with a GPA below 3.0 but not lower than 2.75 in the last 60 credit hours may be considered for conditional admission. The admissions committee will review upper-level math courses taken and grades earned in those courses to determine appropriate preparation for success in a graduate math program. Conditionally admitted students may be required to take leveling courses before full admission to the program and must maintain the required GPA to remain a graduate student.

 

Professor, Chair
College of Arts and Sciences
Department of Mathematics
feit_p@utpb.edu

Dr. Feit began his journey with UTPB as an assistant professor in 1998. He previously taught as a visiting assistant professor at the University of Toledo and an assistant professor at Princeton University. His work has been published extensively in academic journals since the 1980s. Dr. Feit earned his BS in mathematics from Harvard University and his PhD in mathematics from Princeton University.

Professor, Graduate Program Coordinator
College of Arts and Sciences
Department of Mathematics
hiatt_c@utpb.edu

Dr. Hiatt became a professor of mathematics for UTPB in 2021. He has served as the coordinator of the graduate mathematics program since 2013 and was school board president for the UTPB STEM Academy charter school from 2015 to 2017. He was the elected southwest regional director for the Texas Council of Teachers of Mathematics (TCTM) from 2014 to 2021. Dr. Hiatt joined UTPB as an assistant professor of mathematics in 2007, after earning a PhD in mathematics from the University of Southern California in Los Angeles earlier that same year.

Professor
College of Arts and Sciences
Department of Mathematics
zhu_x@utpb.edu

Dr. Zhu began his journey with UTPB as an assistant professor in 2008. He previously taught as a temporary assistant professor at Central Michigan University. His work has been published extensively in academic journals since 2006. Dr. Zhu earned his BS in mathematics from Northwest Normal University in Lanzhou, China in 1987 and his PhD in mathematics from Oklahoma State University in 2005. 

Assistant Professor
College of Arts and Sciences
Department of Mathematics
hu_q@utpb.edu

Dr. Hu earned his PhD in mathematics from York University, Toronto, Canada in 2008 and joined UTPB as an assistant professor of mathematics in 2022. He previously worked as a postdoctoral fellow at the University of Western Ontario, Memorial University of Newfoundland, and The University of Texas at Dallas and as an assistant professor at The University of Texas at Dallas and Alcorn State University.

Dr. Hu has taught more than 20 topics of mathematics courses at the undergraduate and graduate levels. His research is in the broad class of differential equations and dynamical systems, focusing on differential equations with state-dependent delays and their applications in machining dynamics, cardiovascular physiology, mathematical biology, and supply chain management.

 

LengthApplication DeadlineDocument DeadlinePayment DeadlineCourses BeginCourses End
Whole Spring12/30/241/6/251/10/251/13/255/9/25
SemesterApplication DeadlineDocument DeadlinePayment DeadlineCourses BeginCourses End
Whole Summer5/19/255/26/255/30/256/2/258/8/25
LengthApplication DeadlineDocument DeadlinePayment DeadlineCourses BeginCourses End
Whole Fall8/11/258/18/258/22/258/25/2512/12/25

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