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 reallife 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 oneonone with students as they wrestle with complex material.
Mathematics and Statistics

MATH 102 Problem Solving Using Finite Mathematics
Units: 1
Fulfills General Education Requirement (Symbolic Reasoning (FSSR))
DescriptionTopics 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: 0.251
DescriptionSpecial topics satisfying neither major nor minor requirements.

MATH 211 Calculus I
Units: 1
Fulfills General Education Requirement (Symbolic Reasoning (FSSR))
DescriptionLimits, continuity, derivatives, and integrals. Derivatives of trigonometric, exponential, logarithmic, and inverse trigonometric functions; the derivative as a rateofchange; linear approximations; Fundamental Theorem of Calculus; applications to the sciences, social sciences, and economics.

MATH 212 Calculus II
Units: 1
Fulfills General Education Requirement (Symbolic Reasoning (FSSR))
DescriptionTechniques 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 (Symbolic Reasoning (FSSR))
DescriptionNdimensional Euclidean space, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, classical integral theorems, applications.

MATH 245 Linear Algebra
Units: 1
DescriptionVector spaces, matrices, systems of linear equations, linear transformations, applications.
PrerequisitesMATH 212 or MATH 235 or CMSC 222

MATH 288 Mathematics Apprenticeship
Units: 0.250.5
DescriptionParticipation 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
DescriptionLogic, 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.
PrerequisitesMATH 212 or MATH 235

MATH 304 Mathematical Models in Biology and Medicine
Units: 1
DescriptionMathematical 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.
PrerequisitesMATH 235, MATH 245, or MATH 300

MATH 306 Abstract Algebra I
Units: 1
DescriptionAn 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.
PrerequisitesMATH 245 and MATH 300, both with a minimum grade of C

MATH 307 Abstract Algebra II
Units: 1
DescriptionAn introduction to the theory of rings and fields. Topics include rings, integral domains, ideals, factor rings, polynomial rings, ring homomorphisms, fields, and extension fields.
PrerequisitesPrerequisite
MATH 306

MATH 309 Financial Mathematics: The Theory of Interest and Investment
Units: 1
DescriptionDevelops 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.
PrerequisitesMATH 235, MATH 245, or MATH 300

MATH 310 Advanced Calculus
Units: 1
DescriptionDifferentiation of vectorvalued functions, Jacobians, integration theorems in several variables. Fourier series, partial differential equations.
Prerequisites 
MATH 312 Differential Equations
Units: 1
DescriptionIntroduction 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.
PrerequisitesMATH 212 or MATH 235 and MATH 245

MATH 315 Modern Geometry
Units: 1
DescriptionGeometry of surfaces in 3dimensional space. Arc length, Frenet frame, parallel translation and geodesics. Gaussian curvature, constant curvature surfaces, GaussBonnet theorem. Topological classification of compact surfaces.
PrerequisitesMATH 235 or MATH 245

MATH 319 Game Theory
Units: 1
DescriptionMathematical introduction to game theory. Foundational material on rationality and the expected utility theorem; problems for single decisionmakers who maximize utility in uncertain circumstances; classical twoperson matrix games and Nash equilibria; dynamic games, behavioral strategies, and repeated games; population games and evolutionarily stable strategies in biology; evolutionary dynamics.
Prerequisites 
MATH 320 Real Analysis I
Units: 1
DescriptionTopological properties of the real line and Euclidean space. Convergence, continuity, differentiation, integration properties of realvalued functions of real variables.
PrerequisitesMATH 235 and MATH 300, both with a grade of C

MATH 321 Real Analysis II
Units: 1
DescriptionThis is a followup course to Real Analysis I and is a selection of topics from Lebesgue integration, Lebesgue spaces (completeness, duality), metric spaces, real analysis on Euclidean spaces.
PrerequisitesPrerequisite
MATH 320

MATH 328 Numerical Analysis
Units: 1
DescriptionAnalysis 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.)
PrerequisitesMATH 245 and CMSC 150

MATH 331 Complex Analysis
Units: 1
DescriptionIntroduction to the calculus of functions of a single complex variable, including series, calculus of residues, and conformal mapping.
PrerequisitesMATH 235 or PHYS 301

MATH 340 Directed Independent Study
Units: 0.251
DescriptionFor wellqualified 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
DescriptionAbstract vector spaces, inner product spaces, spectral theorem, matrix factorization theorems, Schurâ€™s theorems, applications of linear algebra to related fields in mathematics and engineering.
PrerequisitesMATH 245

MATH 358 Combinatorics
Units: 1
DescriptionIntroduction to the mathematics of discrete structures and counting techniques. Topics to include inclusion/exclusion; graph theory; linear algebra techniques; finite geometries.
PrerequisitesPrerequisite
MATH 245

MATH 388 Individual Internship
Units: 0.251
DescriptionSupervised work experience at approved artist's studio, museum, or gallery. No more than 1.5 units of internship in any one department and 3.5 units of internship overall may be counted toward required degree units.

MATH 395 Special Topics
Units: 1
DescriptionSelected topics in mathematics.
PrerequisitesVaries with topic.

MATH 406 Summer Undergraduate Research
Units: 0
DescriptionDocumentation 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 6 weeks, the student must engage in the project fulltime (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.
PrerequisitesApproval by a faculty mentor.