Online Graduate Certificate in Mathematics

Online Graduate Certificate in Mathematical Science Overview

Get qualified to teach Ohio’s College Credit Plus, dual credit courses, and college-level mathematics with the 100% online Graduate Certificate in Mathematical Science from Shawnee State University Online Campus.

Designed for educators with a prior master’s degree in a content that is not related to mathematical sciences who wish to complete 18-credit hours to become qualified to teach Dual Credit courses, this program provides specialized skill development for the next step in your education career. The program is also appropriate for students who wish to complete a few graduate level courses in mathematical sciences without completing a master’s degree.

The curriculum consists of 18 credit hours, and may include coursework in algebra, geometry, number theory, mathematical analysis, regression, and more. The online Graduate Certificate in Mathematical Science is taught by experienced faculty who provide the one-on-one support you need to succeed. You can easily complete your certificate in one year or transfer up to 9 credits to finish faster.

The Online Certificate in Mathematical Science is designed for:

• Educators who have a master’s degree in a discipline other than mathematics and need 18 credit hours in mathematical sciences to teach dual credit or college-level mathematics courses.

International students residing outside the United States of America may apply and enroll into the Shawnee State University’s Mathematical Science Certificate program. The program is administered all online and the international student will maintain a full course of study. Admitted students will not be issued an I-20 for entry into the United States. The program will be completed by the student from their home country. Please refer to www.studyinthestates.dhs.gov for more information pertaining to enrollment in an online program from your home country.

Courses and Requirements

The graduate certificate in mathematical science requires the completion of at least 18 credit hours. Each course is designed to provide advanced skill development in college-level mathematics.

Choose any set of courses listed below that totals 18 credits or more. Each course is worth 3 credit hours with the exception of MATH 6610 and 6620, which are 2 credit hours.

Certificate Courses

MATH 5100 - Advanced Linear Algebra

Advanced Linear Algebra

The study of vector spaces and related concepts such as span, linear independence, matrices, linear transformations, invariant subspaces and eigenspaces of a single linear operator. Additional topics such as inner product spaces, canonical forms, and error correcting codes may be included.

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MATH 5110 - Computational Linear Algebra with Python

Computational Linear Algebra with Python

This course covers basic concepts of algorithms for solving problems in linear algebra. Theoretical and experimental results will be studied with an emphasis on cost, stability, and convergence. Students will implement and analyze direct and iterative algorithms for solving linear systems, calculate eigenvalues and eigenvectors, and perform matrix decompositions. Applications to a variety of areas will be explored. Learning and using Python and the NumPy library form an essential component of the course. Details of the language will be developed concurrently with necessary algorithms, so knowledge of Python is not required. Some prior programming experience is helpful but not required.

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MATH 5200 - Foundations of Geometry

Foundations of Geometry

Rigorous study of Euclidean and non-Euclidean geometry from an axiomatic point of view. Examination of the axiomatic approach, and its role in organizing mathematical knowledge. The history of the development of non-Euclidean geometry, and an introduction to transformational geometry.

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MATH 5210 - Abstract Algebra 1

Abstract Algebra 1

This course covers the mathematical structures of groups and rings. Group theory topics include groups, permutations, subgroups, isomorphisms, homomorphisms, and quotient groups, the Sylow theorems, and finite abelian groups are covered. Ring theory topics include homorophisms, ideals, quotient rings, Euclidean Domains, and polynomial rings.

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MATH 5220 - Abstract Algebra 2

Abstract Algebra 2

This course covers the mathematical structures of vector spaces, modules, fields, and linear transformations. Topics include linear extension fields, Galois Theory, and canonical forms of linear transformations.

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MATH 5300 - Number Theory

Number Theory

This course investigates the properties of the natural numbers and integers. Topics include factorization, Euclidean algorithm, Diophantine equations, congruence, and divisibility.

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MATH 5400 - Probability I

Probability I

This course begins with detailed review of basic probability including single random variables and jointly distributed random variables. Conditional probability, conditional expectation, and applications are included. Markov Chains and applications are also covered. Poisson processes are also covered if time permits.

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MATH 5500 - Regression I

Regression I

This is an applied linear regression course that will initially focus on strengthening the student’s undergraduate background in statistics. Topics for this section will include: sampling distributions, point estimates, confidence intervals, hypothesis testing, ANOVA, and sample size calculations. The second part of the course will introduce maximum likelihood estimation and topics in linear and non-linear regression. The course will blend hands-on data analysis and a theoretical framework.

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MATH 5555 - Complex Variables

Complex Variables

General Algebra of complex numbers, analytic functions, mappings, Cauchy Integral theory, Residue theory, and applications.

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MATH 5610 - Mathematical Analysis I

Mathematical Analysis I

This is the first course in a two-sequence course that is an in-depth exploration of Calculus topics in an abstract setting. Topics include the real number system, metric spaces, compact sets, sequences, limits of functions, and continuous functions.

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MATH 5620 - Mathematical Analysis II

Mathematical Analysis II

This is the second course in a two-sequence course that is an in-depth exploration of Calculus topics in an abstract setting. Topics include series of real numbers, differentiation, Riemann Stieltjes integral, convergence of sequence and series of functions, analytic functions, and examinations of some special functions such as exponential, logarithmic, trigonometric, and gamma function.

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MATH 5800 - Topology

Topology

Concepts of general topological space, metric space. Compact and connected subsets. Separation axioms. Additional topics as time permits.

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MATH 6500 - Regression II

Regression II

This is a second course in applied linear regression. Topics will include: logistic regression, diagnostic procedures, general linear F-tests and sequential sum of squares, multicollinearity, piecewise regression, selection of the best subset of predictors, more advanced diagnostic procedures, and non-parametric regression. The course will blend hands-on data analysis and a theoretical framework.

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MATH 6610 - Quantitative Methods I (2 credit hours)

Quantitative Methods I (2 credit hours)

This course will introduce students to multivariate statistical methods that may be used in education research. The focus of the class will be on conducting, interpreting, and presenting the results for common multivariate statistical procedures, such as independent and dependent samples t-tests, ANOVA, two and three-way ANOVA, chi-square tests of independence and goodness of fit, ANCOVA, and repeated measures ANOVA.

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MATH 6620 - Quantitative Methods II and Test Theory (2 credit hours)

Quantitative Methods II and Test Theory (2 credit hours)

This course is a continuation of MATH 6610 Quantitative Methods I. In this course, students will be introduced to additional multivariate statistical methods that may be used in education research such as MANOVA, MANCOVA, and non-parametric techniques. Students will also be introduced to measurement concepts and modern test theory, primarily focusing on Classical Test Theory and Item Response Theory including issues central to measurement such as reliability, validity, test construction, and equating.

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MATH 4610 Mathematical Analysis and MATH 4210 Modern Algebra will be used as prep courses for students who need a stronger foundation in undergraduate math. These courses will not count toward the 18 credit hours required for the certificate. Credit for the research sequence in the MS in Mathematics (MATH 6996, MATH 6997, and MATH 6998) cannot be used for completion of the certificate.

Admission Requirements

To be accepted to the online graduate certificate in mathematical science, you should have:

• A bachelor’s degree in mathematics or related field with a minimum 2.75 GPA
• Completed the calculus sequence and three proof-based math courses with grades of B or higher in each.

If the applicant does not have a bachelor’s degree in mathematics or a related field or does not meet the minimum grade standard for the calculus sequence and proof-based math courses, then the student is encouraged to submit their application for conditional acceptance status. Students who are conditionally accepted may be required to enroll in an undergraduate course (or courses) to strengthen their background in mathematics before enrolling in graduate-level mathematics.

How to Apply

To apply for Shawnee State’s online graduate certificate in mathematical science, please contact an enrollment counselor and prepare to submit the following:

• Completed application
• All transcripts from previously attended institutions
• Resume
• Two letters of recommendation
• Personal statement/statement of professional goals

Costs & Financial Aid

Tuition for the online graduate certificate in mathematical science is $500 per credit hour with a $35 surcharge for out-of-state students. This program accepts up to 9 transfer credits. A limited number of half-tuition scholarships are available to apply to the 19 hours needed to earn certification to teach CCP for teachers in Scioto, Pike, Adams, Lawrence, Jackson & Ross Counties. Contact bmadden@shawnee.edu for more information!

Completion time varies by student depending on individual progress. Fees are charged per semester unless otherwise noted. This program takes 12 months to complete. For a personalized estimate of time to completion, call an enrollment advisor at 855-815-0323 or request more information.

* Tuition and fees are subject to change.

Financial Aid

To help make your online education more affordable, Shawnee State offers financial aid in the form of loans, scholarships, and grants. If you have questions, our experienced enrollment counselors and tuition planners will assist you through the process.

Learn More About Financial Aid

Military Students

At Shawnee State, we want those who have served our country to get the education they deserve. As a veteran or current member of the U.S. military, you can receive federal and state educational benefits through the VA, and we will provide you with guidance and support throughout your online education.

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Career Outcomes

In addition to a prior master’s degree in a content other than mathematical sciences or a related field, the Graduate Certificate in Mathematical Sciences provides the requirements to teach Ohio’s College Credit Plus, dual credit, community college, or college-level mathematics in Ohio and many other states. Possible career options include:

Career and salary information from the Bureau of Labor Statistics and Payscale.com.