Upcoming Mathematics 300/400 Course Offerings

Capsule Course Information

(See catalog for official Course Descriptions-email instructor for more details)

Fall 2025 Courses

MTH301-Introduction to Number theory. Pre-reqs: A grade of “C” or better in MTH220. This course introduces fundamentals of number theory, including Euclid’s algorithm, the Chinese Remainder Theorem, prime factorization, Fermat’s theorem, quadratic residues, and primitive roots. Applications include coding theory and cryptography.  i.soprunov@csuohio.edu 

MTH333-Geometry. Pre-reqs: C or better in MTH220 and MTH288 (or MTH284).  Proofs-based, rigorous development of familiar results of Euclidean geometry. A sample of non-Euclidean geometry; transformation geometry; vectors in geometry; some of the ways in which geometry is important in contemporary settings such as machine vision and GPS. 

g.lupton@csuohio.edu

MTH386-Differential Equations. Pre-reqs: A grade of “C” or better in MTH 281 or MTH 283, MTH 288 or MTH 284, and MTH 286 or permission of instructor. Applications of second-order linear equations, qualitative behavior of linear and non-linear systems of first-order differential equations, boundary value problems, introduction to partial differential equations and applications, and techniques for differential equation model training/prediction to solve problems in biology, environmental sciences, engineering, and more. The course will also focus on building student skills to use MATLAB/Python software to solve problems. d.munther@csuohio.edu

MTH401-Mathematical Modeling. Pre-reqs: C or better in MTH286 and MTH288 (or MTH284); and at least one MTH course numbered 300 or above, or departmental approval. This course will develop the intuition for building mathematical models that unravel the mysteries of life—from phase transitions to pattern formation to oscillations.  We will develop the theory needed to build, analyze, and simulate classical difference and differential equation-based models with applications to biology, physics, epidemiology, economics, and more. s.d.ryan@csuohio.edu

MTH420-Combinatorial Mathematics. Pre-reqs: Grade of “C” or better in MTH 220 and a grade of “C” or better in a 300-level mathematics course or departmental approval. Discrete structures, such as graphs, polytopes, and arrangements, are ubiquitous in real-world applications. For example, the Google search algorithm views the entire internet as a large graph, with websites as nodes and links as edges, while integer optimization problems, used in scheduling and production planning, seek integer points in polytopes. In this class, we will study combinatorial methods for analyzing and enumerating discrete structures. In particular, we will explore the theory of partially ordered sets, which provides a general framework for studying relations in discrete structures. We will also employ generating functions to study well-known sequences, such as the Fibonacci sequence, as well as Stirling numbers, Catalan numbers, and partitions. i.soprunov@csuohio.edu 

MTH432-Probabilistic Models. Pre-reqs: Grade of “C” or better in MTH286 and MTH288 and a grade of “C” or better in a 300-level mathematics course or departmental approval. This course is an introduction to probabilistic models. Course topics include: introduction to probability, Markov Chains in discrete and continuous time, including Poisson processes, and selected applications, such as Renewal Theory, Queueing Theory, Reliability, Brownian Motion, Simulation and Matrix Analytic Methods. a.p.hoover@csuohio.edu 

 Spring 2026 Courses

MTH311-Numerical Analysis. Pre-reqs: Grades of “C” or better and at least 6 credits chosen from the following six courses: MTH 220, MTH 281, MTH 283, MTH 284, MTH 286 and MTH 288.  Students may also count credits from ESC 250 and ESC 350 with a permit.  To request a permit to be allowed to register for MTH 311 by counting ESC credits toward the prerequisite, fill out this form: permit request

In this course, we will introduce fundamentals of scientific computing and numerical analysis for a variety of different applications. This course will be taught in Python using Jupyter Notebooks and the NumPy and SciPy libraries. While having taken a coding course will help, coding experience is not required. The skills taught in this course complement the curricula of data science, engineering, and science coursework. This course will foster computational skills for employing numerical methods for solving nonlinear equations, systems of linear equations, interpolation problems, integration problems, and differential equations. These have applications that extend to modeling, data science, engineering, and imaging sciences.   a.p.hoover@csuohio.edu

MTH358-Abstract Algebra. Pre-reqs: A grade of “C” or better in MTH220 and MTH288. This course is an introduction to group theory. Group theory has its roots in several fields: in geometry, where it arises in the study of symmetries of geometric shapes; in number theory, particularly in modular arithmetic; and in the work of Galois and Abel on the solvability of polynomial equations using radicals. We will study various examples of groups, including symmetry groups, permutation groups, matrix groups, and groups of units modulo n. We will also explore general constructions such as group homomorphisms and group actions. Additionally, we will prove fundamental results, including Lagrange’s Theorem, the First Isomorphism Theorem, and the Classification of Finite Abelian Groups. i.soprunov@csuohio.edu 

MTH415-Real Analysis. Pre-reqs: A grade of “C” or better in MTH 281 or MTH 283, a grade of “C” or better in at least one mathematics course numbered 300 or above, or departmental approval. This course gives a rigorous introduction to the real numbers. Topics include sequences and series, basic topology of the real numbers, functional limits and continuity, the derivative, sequences and series of functions. j.a.scott3@csuohio.edu 

MTH425-Methods of Applied Mathematics. Pre-reqs: C or better in MTH286 and MTH288 (or MTH284); and at least one MTH course numbered 300 or above, or departmental approval. This course will introduce students to fundamental tools and perspectives for applied mathematics. We will focus on solidifying a foundation in ordinary differential equation and linear algebra theory, extending these ideas and tools to perturbation theory, spectral theory, and boundary layers. Throughout the course we will discuss examples from data science, biology, astronomy, physics, chemistry, fluid flow, engineering, and other relevant applications that can illustrate important techniques from the theory. In line with this, we will make extensive use of the software MATLAB/Python to generate computer simulations for solving problems in the context of these applications.  d.munther@csuohio.edu 

MTH491-Financial Mathematics. Pre-reqs: A grade of “C” or better in MTH 281 (or MTH 283), or departmental approval. Basic mathematical interest theory and time value of money, annuities, loan repayment, bonds, equations of value and yield rates, interest rate sensitivity, stocks and financial markets, arbitrage, term structure of interest rates and derivatives. It is designed to prepare for the SOA Exam FM/CAS Exam 2 (Financial Mathematics Exam). s.froehlich@csuohio.edu