Mathematics and Statistics

Programs

Courses

MAT 1000: Math and Stat Communities

Credits 1

Understanding the role of creative thinking, problem solving, and collaboration in mathematics and statistics; exploration of research and careers in the mathematical and statistical sciences; building community with fellow mathematics and statistics majors.

Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
202210

MAT 1220: Discrete Math Social Sci

Credits 3

Discrete math for Liberal Arts students: graphs (circuits, trees, directed graphs), discrete growth, symmetry, and select topics from planning and scheduling, linear programming, tiling, voting methods, and unit conversions. Not open to students who have completed MAT 1505.

Last Offered
Fall 2025, Fall 2024, Fall 2023, Fall 2022
Effective Term
199520

MAT 1280: Mathematics of Fairness

Credits 3

Examining fairness in our personal lives and in society: Voting systems and power indices, strategic political positioning spatial models, fair division, congressional district apportionment, game theory, the GINI index of economic inequality, gerrymandering.

Last Offered
Fall 2025, Spring 2025, Fall 2024, Fall 2023
Effective Term
202020

MAT 1290: Topics in Core Mathematics

Credits 3

Course in an area of pure or applied mathematics or statistics. May be repeated for credit if areas of topical focus are different. Designed specifically to satisfy the core requirement in mathematics and statistics, for students in the humanities and social sciences.

Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
201120

MAT 1312: Biocalculus

Credits 4

Discrete and continuous dynamics of biological systems: discrete dynamical systems, sequences, functions, discrete and continuous limits, the derivative, the integral, methods and applications of differentiation and integration, Taylor polynomials, modeling with differential equations, Euler's method, applications to Biology.

Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
201530

MAT 1314: Modeling for the Life Sciences

Credits 3

Mathematical and statistical modeling in the Life Sciences. Topics selected from: dynamical systems, diffusion, Markov, Bayesian, connectionist, and information theory models, applied to epidemiology, ecology, neuroscience and neuron signaling, cell and molecular biology, genetics, physiology, psychology, and other areas. Pre-requisites MAT 1312 or Equivalent

Prerequisites

MAT 1310 or MAT 1312 or MAT 1320 or MAT 1400 or MAT 1500

Prerequisite Courses
Last Offered
Spring 2025, Spring 2024, Spring 2023, Spring 2022
Effective Term
201630

MAT 1400: Business Calculus

Credits 4

Functions, limits, and basic definitions of differential and integral calculus. Techniques of differentiation and integration. The Fundamental Theorem of Calculus. Applications in various areas of business and economics.

Last Offered
Fall 2022, Spring 2022, Fall 2021, Spring 2021
Effective Term
201230

MAT 1500: Calculus I

Credits 4

Limits, transcendental functions (logarithms, exponential functions, inverse trigonometric functions), differentiation (definition, tangent lines, rates of change, techniques, implicit differentiation, related rates), applications of differentiation (graphing, optimization), indeterminate forms and L'Hopital's Rule. Use of a computer algebra system, eg. MAPLE.

Last Offered
Fall 2025, Summer 2025, Spring 2025, Fall 2024
Effective Term
200120

MAT 1505: Calculus II

Credits 4

Integration (indefinite, definite), applications of integration (area, volume, applications to physics and economics, etc.), methods of integration, approximate integration (trapezoidal and Simpson's rules), improper integrals, differential equations, infinite sequences and series. Continued use of a computer algebra system.

Prerequisites

MAT 1312 or MAT 1320 or MAT 1400 or MAT 1500

Prerequisite Courses
Last Offered
Fall 2025, Summer 2025, Spring 2025, Fall 2024
Effective Term
200120

MAT 2400: Linear Algebra for Computing

Credits 4

Vectors, matrices, and matrix algebra; systems of linear equations; matrix inverses; least squares problems; eigenvalues and eigenvectors; using Python for computational linear algebra; applications from areas such as data science, computer graphics, graph algorithms, and web search.

Prerequisites

MAT 1500

Prerequisite Courses
Last Offered
Spring 2025, Spring 2024, Spring 2023, Spring 2022
Effective Term
202220

MAT 2500: Calculus III

Credits 4

Parametric equations; polar, cylindrical, and spherical coordinates; vectors and the geometry of space; vector functions (derivatives, integrals, curvature, etc.); partial derivatives; optimization; multiple integration and its applications; vector calculus (line integrals, vector analysis). Continued use of a computer algebra system.

Prerequisites

MAT 1505 :D-

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Summer 2024
Effective Term
200120

MAT 2600: Mathematical Reasoning & Proof

Credits 3

Mathematical proofs: direct, indirect, induction. Logic, set theory, relations, functions. Optional topics from algebra, number theory, combinatorics, and analysis.

Prerequisites

MAT 1500 :D-

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
202520

MAT 2705: Diff Equation with Linear Alg

Credits 4

First order and linear second order differential equations, matrices and linear equation systems, eigenvalues and eigenvectors, and linear systems of differential equations.

Prerequisites

MAT 1505 :D-

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
200020

MAT 3011: Problem Solving Seminar

Credits 1

Explore techniques for solving mathematical problems, including problems typical of the Putman Mathematical Competition. Students solve and present solutions to problems posed.

Prerequisites

MAT 1500

Prerequisite Courses
Last Offered
Fall 2025, Fall 2023
Effective Term
202120

MAT 3100: Applied Linear Algebra

Credits 3

Vectors, matrices, transpose and inverse of a matrix, systems of linear equations, the four fundamental subspaces, eigenvalues and eigenvectors, symmetric matrices, matrix factorizations, applications such as information retrieval, ranking web pages, graphs and networks, least squares, and data compression.

Prerequisites

MAT 1312 or MAT 1320 or MAT 1400 or MAT 1500

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
202030

MAT 3300: Advanced Calculus

Credits 3

Real numbers, sequences, convergence, supremum and infimum, completeness of the reals, continuous functions, Intermediate Value Theorem, differentiable functions, Mean Value Theorem, Riemann integral, Fundamental Theorem of Calculus, Taylor's Theorem.

Prerequisites

MAT 2500 :D- and (MAT 2600 :D- or HON 4151 :D-)

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
200420

MAT 3400: Linear Algebra

Credits 3

Theory of vector spaces, linear transformations, basis, and dimension. Selected topics from orthogonal transformations, least squares, eigenvalues and eigenvectors, similarity, diagonalization, matrix decompositions, infinite dimensional transformations.

Prerequisites

MAT 2600 and (MAT 2400 or MAT 2705 or MAT 3100)

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
202520

MAT 3500: Modern Algebra I

Credits 3

Topics selected from groups and subgroups, cyclic groups, permutation groups, isomorphisms, direct products, cosets and Lagrange's Theorem, normal subgroups and factor groups, group homomorphisms, the Fundamental Theorem of Finite Abelian Groups, rings, fields.

Prerequisites

MAT 2600 :D- and MAT 2705 :D-

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
200020

MAT 4110: Combinatorics

Credits 3

Induction, permutations and combinations, general counting methods, generating functions, recurrence relations, principle of inclusion-exclusion, graph theory, trees, planarity, crossing numbers, Hamiltonian cycles, Eulerian tours.

Prerequisites

MAT 1505 :D-

Prerequisite Courses
Last Offered
Spring 2024, Fall 2022, Spring 2020, Fall 2017
Effective Term
200020

MAT 4270: Numerical Analysis

Credits 3

Numerical and computational aspects of root-finding methods, interpolation and polynomial approximation, numerical differentiation and integration, approximation theory.

Prerequisites

MAT 1505 :D-

Prerequisite Courses
Last Offered
Spring 2024, Spring 2021, Spring 2019, Fall 2015
Effective Term
200020

MAT 4410: Math Modeling

Credits 3

Model formulation, the modeling process, graphs as models, examples from the physical and social sciences, parameter estimation, experimental modeling, dimensional analysis, modeling discrete and continuous dynamic behavior, implementation.

Prerequisites

MAT 2705 :D-

Prerequisite Courses
Last Offered
Spring 2025, Spring 1997

MAT 4550: Math of Financial Derivatives

Credits 3

Basic tools of financial markets; options; asset price random walks; estimation of parameters; arbitrage put-call parity; Black-Scholes Model; implied volatility; portfolio-optimization; hedging.

Prerequisites

MAT 1505

Prerequisite Courses
Last Offered
Fall 2024, Fall 2023, Spring 2023, Fall 2022
Effective Term
202430

MAT 4600: Deterministic Oper Res

Credits 3

Deterministic methods: mathematical optimization, linear programming, formulation and solution techniques, duality, integer linear programming, transportation problem, assignment problem, network flows, dynamic programming.

Prerequisites

MAT 2500 :D- and (MAT 2705 or MAT 3100 or MAT 3400)

Prerequisite Courses
Last Offered
Spring 2024, Spring 2022, Spring 2020, Fall 2011
Effective Term
200020

MAT 4610: Stochastic Oper Research

Credits 3

Probabilistic methods: brief review of probability, transient and asymptotic properties of Markov chains, queuing models and their applications, Markov decision processes, forecasting, game theory, simulation.

Prerequisites

MAT 2705 :D-

Prerequisite Courses
Last Offered
Fall 2024, Fall 1997
Effective Term
200020

MAT 5400: Complex Analysis

Credits 3

Algebra of complex numbers, analytic functions, Cauchy- Riemann equation, Laplace equations, conformal mapping, integrals of complex functions, Cauchy's theorem, power series, Taylor's theorem, Laurent's theorem, residues, entire functions.

Prerequisites

(MAT 2500 :D- and MAT 2600 :D-)

Prerequisite Courses
Corequisites
Last Offered
Fall 2023, Spring 2022, Spring 2020, Spring 2018
Effective Term
200020

MAT 5500: Topology

Credits 3

Topological equivalence, connectedness, compactness, topology of subsets of Rn, manifolds, topological embeddings, topological spaces.

Prerequisites

MAT 3300 :Y

Prerequisite Courses
Last Offered
Spring 2025, Fall 2022, Spring 2020, Fall 2018
Effective Term
200020

MAT 5900: Seminar in Mathematics

Credits 3

Supervised study of selected topics or problems in mathematics, student presentations. May be repeated for credit if content is different.

Prerequisites

MAT 3300 :D- or MAT 3500 :D-

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
200020

MAT 5991: Independent Study

Credits 1

Reading in a selected branch of mathematics under the direction of a member of the staff. May be repeated for credit.

Prerequisites

MAT 1505 :D-

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Summer 2024
Effective Term
199620

MAT 5992: Independent Study

Credits 2

Reading in a selected branch of mathematics under the direction of a member of the staff. May be repeated for credit.

Prerequisites

MAT 1505 :D-

Prerequisite Courses
Last Offered
Spring 2025, Spring 2024, Spring 2023, Spring 2022
Effective Term
199620

MAT 5993: Independent Study

Credits 3

Reading in a selected branch of mathematics under the direction of a member of the staff. May be repeated for credit.

Prerequisites

MAT 1505 :D-

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Summer 2024
Effective Term
199620

STAT 1230: Intro Statistics I

Credits 3

Displaying and summarizing data, basic probability concepts, normal distributions, sampling distributions, estimation for a single population parameter, regression and correlation. Not open to students who have completed MAT 1505.

Last Offered
Fall 2025, Summer 2025, Spring 2025, Fall 2024
Effective Term
202120

STAT 1235: Intro Statistics II

Credits 3

Probability concepts, hypothesis testing, inferences about means, variances and proportions, contingency tables, analysis of variance. Not open to students who have completed MAT 1505.

Prerequisites

MAT 1230 or STAT 1230

Prerequisite Courses
Last Offered
Spring 2025, Spring 2024, Spring 2023, Spring 2022
Effective Term
202120

STAT 1260: Elementary Statistics

Credits 3

Introduction to statistics including topics such as study design, graphical and numerical descriptive statistics, bivariate data analysis, probability, sampling distributions, confidence intervals, hypothesis testing, goodness of fit tests, analysis of variance; resampling and simulation using statistical software; interpreting output from and understanding selected algorithms used in statistical packages.

Effective Term
202120

STAT 1313: Statistics for Life Sciences

Credits 3

Statistical concepts and methods with applications in biological and life sciences; data visualization, descriptive statistics, probability distributions, interval estimation and hypothesis testing for one and two variables, statistical software.

Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
202120

STAT 1430: Business Statistics

Credits 4

Statistical concepts and methods useful in analyzing problems in all areas of business. Descriptive statistics, probability, sampling distributions, confidence intervals, hypothesis testing, regression analysis, and time series. Applications in various areas of business and economics.

Last Offered
Fall 2025, Summer 2025, Spring 2025, Fall 2024
Effective Term
202120

STAT 4210: Bayesian Statistical Analysis

Credits 3

Application of Bayesian statistical procedures. Implementation using the programming language R. Bayes's Theorem. Bayesian statistical inference. Various types of prior distributions. Computer-intensive methods. Assessing the prior. Robustness analysis. Writing Bayesian statistical reports.

Prerequisites

MAT 4310 or STAT 4310 or STAT 4315

Prerequisite Courses
Last Offered
Fall 2025, Fall 2024, Fall 2023, Fall 2022
Effective Term
202120

STAT 4310: Stat Methods

Credits 3

Data displays and summarization, probability distributions, point and interval estimation, hypothesis testing, categorical data analysis, regression and correlation.

Prerequisites

MAT 1505 :Y

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
202120

STAT 4315: Applied Statistical Models

Credits 3

Simple and multiple linear regression, including prediction, correlation, model building, multicollinearity, influential observations, and model fit; ANOVA for designed experiments, including completely randomized, randomized block and factorial designs; Time Series including linear time series models, moving averages, autoregressive and ARIMA models, estimation and forecasting.

Prerequisites

MAT 1505 and (MAT 1430 or STAT 1430 or MAT 4310 or STAT 4310)

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
202120

STAT 4380: Data Science

Credits 3

Combining and summarizing real-world data to inform decision-making and predictions; data wrangling, visualization, text mining, ethics; uses R programming language. Some programming experience recommended.

Prerequisites

MAT 1230 or STAT 1230 or MAT 1250 or STAT 1250 or MAT 1313 or STAT 1313 or MAT 1430 or STAT 1430 or MAT 4310 or STAT 4310 or CSC 2300

Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
202420

STAT 4416: Design of Experiments

Credits 3

Completely randomized, randomized block, and Latin square designs; full and fractional factorial designs; nested and split plot designs; response surface methology.

Prerequisites

MAT 4310 or STAT 4310 or STAT 4315

Prerequisite Courses
Last Offered
Spring 2025, Spring 2023
Effective Term
202120

STAT 4480: Data Mining

Credits 3

Supervised and unsupervised data mining techniques, including clustering, classification, and association rule learning.

Prerequisites

MAT 4310 or STAT 4310 or STAT 4315

Prerequisite Courses
Last Offered
Fall 2025, Spring 2024, Spring 2022, Spring 2021
Effective Term
202120

STAT 5700: Probability

Credits 3

Probability, random variables, joint distributions, expected values, limit theorems, distributions derived from the normal distribution.

Prerequisites

MAT 2500

Prerequisite Courses
Last Offered
Fall 2025, Spring 2025, Fall 2024, Spring 2024
Effective Term
202520

STAT 5705: Theory of Stat Inference

Credits 3

Transformation of random variables, Distributions related to the normal, Central Limit Theorem, Law of Large Numbers, Point estimation, Maximum likelihood estimation, Bias, Consistency, Sufficiency, Confidence intervals, Hypothesis testing, Likelihood ratio tests.

Prerequisites

MAT 2500 and (MAT 5700 or STAT 5700)

Prerequisite Courses
Last Offered
Spring 2025, Spring 2024, Spring 2023, Spring 2022
Effective Term
202520

STAT 5905: Seminar in Statistics

Credits 3

Supervised study of selected topics or problems in statistics, with student presentations and papers. May be repeated for credit if content is different.

Prerequisites

(MAT 4315 or STAT 4315) and (MAT 5700 or STAT 5700)

Prerequisite Courses
Last Offered
Fall 2025, Fall 2024, Fall 2023, Fall 2022
Effective Term
202120