Courses

Mathematics professors are especially interested in helping students understand and appreciate the importance and usefulness of mathematics in the modern world. Assignments and projects emphasize the real-life applications of math in other fields of study.

Math professors recognize that not all students will decide to study mathematics at the graduate level. In response, the department prepares students for a variety of career paths including education, industrial and governmental research and careers in actuarial science and economics. For students who do want to go on to graduate school, professors try to expose them to pure and applied mathematics in balanced doses so that they can make decisions about the kind of math they want to pursue in graduate school. Professors recognize that the best preparation students can have for graduate school is to participate in undergraduate research projects. Research leads to close student and faculty collaboration, which seniors cite in their annual exit interviews as the single greatest strength of the department. Faculty members are consistently willing and excited to work one-on-one with students as they wrestle with complex material.

Mathematics and Statistics

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  • MATH 102 Problem Solving Using Finite Mathematics

    Units: 1

    Fulfills General Education Requirement (FSSR)

    Description
    Topics to demonstrate power of mathematical reasoning. Course has two components: (1) introduction to the fundamentals of mathematical proof, and (2) the application of these fundamentals to at least one particular area of mathematics. The area is dependent on the instructor.
  • MATH 195 Special Topics

    Units: 0.25-1

    Description
    Special topics satisfying neither major nor minor requirements.
  • MATH 211 Calculus I

    Units: 1

    Fulfills General Education Requirement (FSSR)

    Description
    Limits, continuity, derivatives, and integrals. Derivatives of trigonometric, exponential, logarithmic, and inverse trigonometric functions; the derivative as a rate-of-change; linear approximations; Fundamental Theorem of Calculus; applications to the sciences, social sciences, and economics.
  • MATH 212 Calculus II

    Units: 1

    Fulfills General Education Requirement (FSSR)

    Description
    Techniques of integration; applications of integration; improper integrals; Taylor's Theorem and applications; infinite series; differential equations; applications to the sciences, social sciences, and economics.
  • MATH 235 Multivariate Calculus

    Units: 1

    Fulfills General Education Requirement (FSSR)

    Description
    N-dimensional Euclidean space, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, classical integral theorems, applications.

    Prerequisite

    MATH-212

  • MATH 245 Linear Algebra

    Units: 1

    Description
    Vector spaces, matrices, systems of linear equations, linear transformations, applications.

    Prerequisite

    MATH-212 or CMSC-222

  • MATH 288 Mathematics Apprenticeship

    Units: 0.25-0.5

    Description
    Participation in practical application of mathematics skills, such as statistics, data science, or mathematical modeling, with supervision of mathematics or statistics faculty. Does not count for mathematics major or minor or for mathematical economics major. No more than a total of 1.5 units of MATH 288 may count toward the total number of units required for a degree.
  • MATH 300 Fundamentals of Abstract Mathematics

    Units: 1

    Description
    Logic, quantifiers, negations of statements with quantifiers, set theory, induction, counting principles, relations and functions, cardinality. Includes introductory topics from real analysis and abstract algebra. Emphasis on methods of proof and proper mathematical expression.

    Prerequisite

    MATH-212

  • MATH 304 Mathematical Models in Biology and Medicine

    Units: 1

    Description
    Mathematical models in modern biological and medical applications. Primary focus on practical understanding of the modeling process, and development of requisite modeling skills. Topics include discrete and continuous dynamical systems, including parameter estimation.

    Prerequisite

    MATH-235, MATH-245, or MATH-300

  • MATH 306 Abstract Algebra I

    Units: 1

    Description
    An introduction to the theory of groups. Topics include subgroups, cyclic groups, permutation groups, homomorphisms, isomorphisms, cosets, Lagrange's Theorem, normal subgroups, and the Fundamental Theorem of Finite Abelian Groups.

    Prerequisite

    MATH-245 and MATH-300, both with a minimum grade of C-

  • MATH 307 Abstract Algebra II

    Units: 1

    Description
    An introduction to the theory of rings and fields. Topics include rings, integral domains, ideals, factor rings, polynomial rings, ring homomorphisms, fields, and extension fields.

    Prerequisite

    MATH-306

  • MATH 309 Financial Mathematics: The Theory of Interest and Investment

    Units: 1

    Description
    Develops a practical understanding of financial mathematics and interest theory in both discrete and continuous time. This theory includes the fundamentals of how annuity functions are applied to the concepts of present and accumulated value for various cash flow streams and how this is used for future planning in valuation, pricing, duration, immunization, and investment. Topics include: rates of interest and discount, the force of interest, level and varying annuities, evaluation of financial instruments (e.g. bonds, stocks, leveraged strategies), measures of interest rate sensitivity, and the term structure of interest rates.

    Prerequisite

    MATH-235, MATH-245, or MATH-300

  • MATH 310 Advanced Calculus

    Units: 1

    Description
    Differentiation of vector-valued functions, Jacobians, integration theorems in several variables. Fourier series, partial differential equations.

    Prerequisite

    MATH-235

  • MATH 312 Differential Equations

    Units: 1

    Description
    Introduction to ordinary differential equations and their use as models of physical systems. Linear and nonlinear equations and systems of equations, including existence and uniqueness theorems, analytical solution techniques, numerical methods, and qualitative analysis. Includes studies of global behavior and local stability analysis of solutions of nonlinear autonomous systems; bifurcation analysis. Application and modeling of real phenomena included throughout.

    Prerequisite

    MATH-212 and MATH-245

  • MATH 315 Modern Geometry

    Units: 1

    Description
    Geometry of surfaces in 3-dimensional space. Arc length, Frenet frame, parallel translation and geodesics. Gaussian curvature, constant curvature surfaces, Gauss-Bonnet theorem. Topological classification of compact surfaces.

    Prerequisite

    MATH-235 or MATH-245

  • MATH 319 Game Theory

    Units: 1

    Description
    Mathematical introduction to game theory. Foundational material on rationality and the expected utility theorem; problems for single decision-makers who maximize utility in uncertain circumstances; classical two-person matrix games and Nash equilibria; dynamic games, behavioral strategies, and repeated games; population games and evolutionarily stable strategies in biology; evolutionary dynamics.

    Prerequisite

    MATH-245

  • MATH 320 Real Analysis I

    Units: 1

    Description
    Topological properties of the real line and Euclidean space. Convergence, continuity, differentiation, integration properties of real-valued functions of real variables.

    Prerequisite

    MATH-235 and MATH-300, both with a grade of C-

  • MATH 328 Numerical Analysis

    Units: 1

    Description
    Analysis and implementation of algorithms used in applied mathematics, including root finding, interpolation, approximation of functions, integration, solutions to systems of linear equations. Computer error. (Same as Computer Science 328.)

    Prerequisite

    MATH-245 and CMSC-150

  • MATH 329 Probability

    Units: 1

    Description
    Introduction to the theory, methods, and applications of randomness and random processes. Probability concepts, independence, random variables, expectation, discrete and continuous probability distributions, moment-generating functions, simulation, joint and conditional probability distributions, sampling theory, laws of large numbers, limit theorems.

    Prerequisite

    MATH-235

  • MATH 330 Mathematical Statistics

    Units: 1

    Description
    Introduction to basic principles and procedures for statistical estimation and model fitting. Parameter estimation, likelihood methods, unbiasedness, sufficiency, confidence regions, Bayesian inference, significance testing, likelihood ratio tests, linear models, methods for categorical data, resampling methods.

    Prerequisite

    MATH-329

  • MATH 331 Complex Analysis

    Units: 1

    Description
    Introduction to the calculus of functions of a single complex variable, including series, calculus of residues, and conformal mapping.

    Prerequisite

    MATH-235 or PHYS-301

  • MATH 340 Directed Independent Study

    Units: 0.25-1

    Description
    For well-qualified students who wish to work independently in areas not included in curriculum. Proposal must be approved by departmental committee.
  • MATH 345 Advanced Linear Algebra

    Units: 1

    Description
    Abstract vector spaces, inner product spaces, spectral theorem, matrix factorization theorems, Schurs theorems, applications of linear algebra to related fields in mathematics and engineering.

    MATH-245

  • MATH 350 Coding Theory

    Units: 1

    Description
    Error-correcting codes are used to ensure reliable electronic communication in everything from Blue Ray players to deep-space transmission. Cryptographic systems are developed to keep communication secret in everything from e-commerce to military communication. This course develops the mathematics underlying the transmission of messages. In coding theory, we will develop theoretical constraints on codes, construction methods for good codes, and algorithms for encoding and decoding efficiently. In cryptography, we will explore historically important systems as well as modern public-key cryptosystems.

    Prerequisite

    MATH-245 and either MATH-300 or CMSC-222

  • MATH 388 Individual Internship

    Units: 0.25-1

    Description

    Permission of department chair.

  • MATH 395 Special Topics

    Units: 1

    Description
    Selected topics in mathematics.

    Prerequisite

    Varies with topic.

  • MATH 396 Selected Topics in Mathematics

    Units: 1

    Description
    Selected topics in mathematics.
  • MATH 406 Summer Undergraduate Research

    Units: 0

    Description
    Documentation of the work of students who receive summer fellowships to conduct research [or produce a creative arts project] in the summer. The work must take place over a minimum of 8 weeks, the student must engage in the project full-time (at least 40 hours per week) during this period, and the student must be the recipient of a fellowship through the university. Graded S/U.

    Approval for summer Arts and Sciences fellowship by faculty mentor.