Mathematics and Statistics
Welcome to Idaho State Mathematics and Statistics
The Idaho State University Department of Mathematics and Statistics educates students on the principles and practices of pure mathematics, applied mathematics, and statistics. We seek to empower people to discover meaning and joy in mathematical thinking through creative problem-solving and applying mathematics to the real world.
Our undergraduate program offers an Associate of Science (AS) in mathematics and Bachelor of Science (BS) degrees in mathematics, applied mathematics, and statistics. Meanwhile, our graduate programs allow students to further their studies and earn a Master of Science (MS) and a Doctorate of Arts (PhD) in mathematics. Additionally, a minor in mathematics, applied mathematics, or statistics complements many of the degrees at Idaho State University.
We also encourage all students to gain practical experience by participating in undergraduate research, math modeling competitions, STEM outreach activities, and engaging with each other as members of the Mathematics and Statistics Club. These opportunities allow our students to develop their skills and get real-world experience for future employment or help prepare them for graduate-level study.
The Department of Mathematics and Statistics at Idaho State University has been instrumental in developing the Early College Program, which helps high school students earn college credits before they enroll as undergraduate students. Additionally, we provide mathematics courses that satisfy general education requirements for all students at ISU and courses specifically required for students pursuing education in teaching, physics, engineering, health professions, computer science, biological sciences, and business.
Our Pocatello campus is nestled in the foothills of the Rocky Mountains, and students have ample opportunities for hiking, mountain biking, skiing, snowboarding, and more. Yellowstone and Grand Teton National Parks are just a short drive away.
Mathematicians and statisticians are helping to solve the most pressing challenges facing society, and we encourage you to schedule a visit with the Department of Mathematics and Statistics to learn more about the program.
Research Areas
Numerical Analysis
This research involves using mathematical algorithms to solve problems approximately, often applied to tasks like solving complex equations or simulating physical systems.
Scientific Computing
Research using computers to simulate and solve complex scientific problems, like climate modeling or drug discovery.
Numerical Solution of Linear and Nonlinear Partial Equations
This area focuses on using numerical methods to find approximate solutions to complex equations commonly encountered in physics and engineering.
Computational Physics
Research that uses computer simulations to study and solve complex physical phenomena, such as the behavior of particles in a collider.
Inverse Problems For Partial Differential Equations
This research area involves determining the causes of observed effects, which is crucial in fields like medical imaging.
Integral Equations and Integro-Differential Equations.
Mathematical frameworks where equations involve unknown functions, along with differential and integral operators applied to them. It is often used to model complex systems in physics, engineering, and biology.
Machine Learning and Operator Learning
A branch of artificial intelligence where algorithms enable computers to learn patterns from data, and approximate functions or operators between function spaces.
Bioinformatics
This research area combines statistics, biology, and computer science knowledge to analyze and interpret biological data, aiding researchers in understanding complex biological processes.
Biostatistics
This research area uses statistical techniques to understand the cause and the treatment of disease in the area of medicine and public health.
Data Mining
This research involves the process of discovering patterns and useful information from large datasets, often applied in fields like business, industry, and science.
Government Statistics
This research involves using statistical tools to analyze government data and provide timely and accurate statistical conclusions to help the government make reasonable decisions.
High-Dimensional Clustering
Research that involves developing statistical methods to organize high-dimensional data with many features into meaningful groups, helping to identify patterns in large datasets.
Mixture Models
Researchers in this area use advanced statistical models to represent data as a combination of simpler probability distributions, enabling more accurate analysis.
Lie Theory
In this area, researchers explore symmetries in mathematics and physics, focusing on groups and transformations.
Representation Theory
This area studies how algebraic structures can be represented by matrices, important in both mathematics and physics.
Hecke Algebras
Researchers in this area use mathematical structures used in number theory and representation theory to study certain algebraic systems.
Matrix Theory
This research deals with the properties and manipulation of matrices, vital in various mathematical and engineering applications.
Number Theory
Research that explores the properties of whole numbers, including prime numbers, and their role in encryption algorithms.
Deformation Algebras
This area studies how algebraic structures change continuously, providing insights into the flexibility of mathematical systems.
Graph Theory
Researchers in this area examine the properties and relationships of networks, represented as graphs with vertices and edges.
Quantum Algebra
The study of algebraic structures related to physical and topological problems, such as quantum groups and Yang-Baxter operators.
Research on student learning
Develops theoretical models of student thinking about mathematical topics and how certain ways of thinking assist or inhibit students.
Research on teaching
Researchers study or propose effective teaching practices for improving students’ understanding of mathematical topics or participation in the classroom.
Geometry
Research that examines the properties and relationships of shapes and spaces, including concepts like points, lines, and angles.
Topology
Researchers in this area study the properties of space that are preserved under continuous deformations, useful in understanding shapes and connectivity.
Differential Geometry
This area involves examining the properties of curved spaces using calculus, with applications in physics and engineering.
Calculus of Variations
This research focuses on finding paths or functions that minimize or maximize certain quantities, essential in physics and engineering.
Dynamical Systems
This area involves exploring how things change over time, from the motion of planets to the behavior of ecosystems.
Dynamical Systems and their Applications in Biology and Ecology
This area applies dynamical systems theory to model and understand biological and ecological processes.
Theoretical Physics
This area explores the fundamental laws and principles that govern the universe, often involving complex mathematical equations.
Contact Us
Math Tutoring
Pocatello Campus
Idaho Falls Campus
Idaho Falls, ID 83402
