Upcoming Mathematics 300/400 Course Offerings

Capsule Course Information

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

Fall 2026 Courses

MTH301-Introduction to Number theory. Prereqs: A grade of “C” or better in MTH220. This course introduces fundamental topics in number theory, including divisibility and the Euclidean algorithm, prime factorization, the Chinese Remainder Theorem, Fermat’s Little Theorem, quadratic residues, and primitive roots. Applications include modern cryptographic systems (such as RSA) and error-correcting codes, showing how these classical concepts are used in secure communication and data transmission.

For more information contact Dr. Soprunov: i.soprunov@csuohio.edu

MTH333-Geometry. Prereqs: 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.

For more information contact Dr. Gold: l.gold33@csuohio.edu

MTH401-Mathematical Modeling. Prereqs: 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. 

For more information contact Dr. Ryan: s.d.ryan@csuohio.edu

MTH416-Complex Analysis.  Prereqs: A grade of “C” or better in MTH281 (or MTH283), a grade of “C” or better in a least one mathematics course numbered 300 or above. This course introduces the core ideas of complex analysis, including analytic and harmonic functions, Taylor and Laurent series, complex integration, and residue theory. Applications include a proof of the Fundamental Theorem of Algebra and techniques from residue theory for evaluating definite integrals that are difficult to compute by real-variable methods. 

For more information contact Dr. Soprunov: i.soprunov@csuohio.edu

Spring 2027 Courses

MTH311-Numerical Analysis. Prereqs: 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 using Matlab or Python with 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.

For more information contact Dr. Ryan:  s.d.ryan@csuohio.edu

MTH358-Abstract Algebra. Prereqs: A grade of “C” or better in MTH220 and MTH288. This course introduces fundamental topics in group theory, including modular arithmetic, groups of symmetries, permutations, Lagrange’s Theorem, the classification of finite abelian groups, and group actions. Applications include analyzing symmetries of geometric objects and using group actions to solve counting problems. The course also prepares students for further courses such as Abstract Algebra II and Combinatorics.

For more information contact Dr. Soprunov: 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 function. 

For more information contact Dr. Scott: j.a.scott3@csuohio.edu 

MTH482-Topics in Number Theory (Cryptography). Prereqs: A grade of B or better in MTH220 or a grade of C or better in MTH 301 or MTH358 or departmental approval. Topics will include:

• formal public key cryptosystems and their mathematical bases;

• deterministic and probabilistic algorithms to solve number-theoretic problems;

• foundational cryptographical techniques, such as Diffie-Hellman, ElGamal, RSA, ECC, collision algorithms, and post-quantum cryptography;

• various mathematical concepts connected to cryptography, such as discrete logarithms, elliptic curves, and lattices.

The course will feature a mix of theory and hands-on computation using dedicated software.

Note: This course will actually run under a special topics number: MTH493-Cryptography. We hope to set that up so students can enroll by late spring or early summer. Any student enrolled in MTH482 at that time will be transferred into MTH 493. 

For more information contact Dr. Galetto:  f.galetto@csuohio.edu

MTH487-Dynamical Systems. Prereqs: C or better in MTH286 and MTH288 (or MTH284); and at least one MTH course numbered 300 or above, or departmental approval. Why is it difficult to make a long-term weather forecast? How could enrichment of a prey species lead to the extinction of their predator species? Why do epidemics of measles exhibit annual, biennial or triennial cycles?  If you are interested in questions of this kind, then do not miss this course on dynamical systems: the study of systems that evolve over time. The theory of dynamical systems has applications in a multitude of fields such as biology, physics, chemistry, engineering, meteorology, astronomy, economics, and epidemiology. Topics to be covered include linear systems, classification of equilibrium points, limit cycles, Poincaré-Bendixson theorem, chaos, strange attractors. Course includes use of a computer algebra system such as MATLAB.

For more information contact Dr. Gao:  d.gao51@csuohio.edu