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

DSST 189 Introduction to Statistical Modeling
Units: 1
DescriptionTopics will include exploratory data analysis, correlation, linear and multiple regression, design of experiments, basic probability, the normal distribution, sampling distributions, estimation, hypothesis testing and randomization approach to inference. Exploratory graphical methods, model building and model checking techniques will be emphasized with extensive use of statistical software for data analysis. 
DSST 289 Introduction to Data Science
Units: 1
DescriptionMultiple linear regression, logistic regression, ANOVA and other modeling based topics. Exploratory graphical methods, model selection and model checking techniques will be emphasized with extensive use a statistical programming language (R) for data analysis. 
DSST 389 Statistical Learning
Units: 1
DescriptionComputational statistics and statistical algorithms for building predictive models from large data sets. Topics include model complexity, hyperparameter tuning, over and underfitting, and the evaluation of predictive performance. Models covered include linear regression, penalized regression, additive models, gradientboosted trees, and neural networks. Applications are drawn from many areas, with a particular focus on processing unstructured text and image corpora. 
MATH 102 Problem Solving Using Finite Mathematics
Units: 1
Fulfills General Education Requirement (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 190 Integrated Science/Math/Computer Science 2 with Lab
Units: 1
Fulfills General Education Requirement (FSSR)
DescriptionOne of two courses taught fall semester as part of Integrated Quantitative Science program. Each semester of the course will be organized around a guiding principle that integrates several concepts. Along with corequisite, will include ten hours for lecture and lab combination.Prerequisite
CMSC 190 with a minimum grade of D

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 (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 (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 (FSSR)
DescriptionNdimensional Euclidean space, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, classical integral theorems, applications.Prerequisite
MATH 212 (or 232)

MATH 245 Linear Algebra
Units: 1
DescriptionVector spaces, matrices, systems of linear equations, linear transformations, applications.Prerequisite
MATH 212 (or 232) 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.Prerequisite
MATH 212 (or 232)

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.Prerequisite
MATH 235, 245, or 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.Prerequisite
MATH 245 and 300

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.Prerequisite
MATH 306 with a minimum grade of D

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.Prerequisite
MATH 235, 245, or 300

MATH 310 Advanced Calculus
Units: 1
DescriptionDifferentiation of vectorvalued functions, Jacobians, integration theorems in several variables. Fourier series, partial differential equations.Prerequisite
MATH 235 with a minimum grade of D

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.Prerequisite
MATH 212 and 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.Prerequisite
MATH 235 or 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.Prerequisite
MATH 245 with a minimum grade of D

MATH 320 Real Analysis I and II
Units: 1
DescriptionTopological properties of the real line and Euclidean space. Convergence, continuity, differentiation, integration properties of realvalued functions of real variables.Prerequisite
MATH 235 and 300

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.)Prerequisite
MATH 245 and CMSC 150 (or 155, 190, or MATH 190)

MATH 329 Mathematical Statistics I and II
Units: 1
DescriptionIntroduction to the theory, methods, and applications of randomness and random processes. Probability concepts, independence, random variables, expectation, discrete and continuous probability distributions, momentgenerating functions, simulation, joint and conditional probability distributions, sampling theory, laws of large numbers, limit theorems.Prerequisite
MATH 235 and 245

MATH 330 Mathematical Statistics
Units: 1
DescriptionIntroduction 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 with a minimum grade of D

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.Prerequisite
MATH 235 or PHYS 301

MATH 336 Operations Research
Units: 1
DescriptionLinear and Integer Programming: algorithms, complexity, sensitivity, and duality. Applications such as assignments, networks, scheduling.Prerequisite
MATH 245 and 300 (or CMSC 222)

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, Schurs theorems, applications of linear algebra to related fields in mathematics and engineering. 
MATH 350 Coding Theory
Units: 1
DescriptionErrorcorrecting codes are used to ensure reliable electronic communication in everything from Blue Ray players to deepspace transmission. Cryptographic systems are developed to keep communication secret in everything from ecommerce 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 publickey cryptosystems.Prerequisite
MATH 245 and 300 (or CMSC 222)

MATH 388 Individual Internship
Units: 0.251
Description 
MATH 395 Special Topics
Units: 1
DescriptionSelected topics in mathematics.Prerequisite
MATH 245 and 300

MATH 396 Selected Topics in Mathematics
Units: 1
DescriptionSelected topics in mathematics. 
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 8 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.