Academic Departments & Programs
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Mathematics Department
Mathematics is a discipline central to the liberal arts curriculum and to scholarly endeavors in all domains to prepare students for careers requiring strong analytical skills. The department at Emory offers educational programs and conducts research in mathematics, as well as several interdisciplinary areas.
 Academic Department Website
 http://mathcs.emory.edu
Concentrations
Faculty
 Chair
 James Nagy
 Director of Undergraduate Studies
 Bree Ettinger
 Core
 Michele BenziDavid BorthwickMichael CarrDwight DuffusJohn DuncanBree EttingerMichelangelo GrigniHao HuangRobert JensenKenneth MandelbergManuela ManettaJames NagyVladimir OlikerKen OnoVictoria PowersParimala RamanVojtech RodlRobert RothLars RuthottoSuresh VenapallyAlessandro VenezianiJuan VilletaGarciaYuanzhe XiShanshuang YangDavid ZureickBrown
Courses
Mathematics 100Level Courses

Convex sets, linear inequalities, linear programming, twoperson games, finite graphs. Applications in management, economics, and behavioral sciences.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 None
 CrossListed
 None

Limits, continuity, derivatives, antiderivatives, the definite integral.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 PROHIBITS: MATH 111
 CrossListed
 None

Limits, continuity, derivatives, antiderivatives and definite integrals; applications to optimization, physical and life science models. Lab includes webbased practice and evaluation.
 Credit Hours
 4
 GERs
 MQR
 Requisites
 PROHIBITS: MATH 111
 CrossListed
 None

Techniques of integration, exponential and logarithm functions, sequences and series, polar coordinates.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 111/119 as a Prerequisite
 CrossListed
 None

This class is for freshmen who have earned a 4 or 5 on the AP AB exam, or a 5 on the IB HL exam. Topics include: techniques of integration, exponential and logarithm functions, sequences and series, and polar coordinates.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH AP/AB or IB as prereq.
 CrossListed
 None

Integration, differential equations, multivariable calculus, and discrete probability and statistics, with an emphasis on applications to biology.
 Credit Hours
 4
 GERs
 MQR
 Requisites
 MATH 111 or 111L as prereq.
 CrossListed
 None

Topics will be announced each semester when class is scheduled.
 Credit Hours
 3
 GERs
 FSEM
 Requisites
 None
 CrossListed
 None
Mathematics 200Level Courses

Development and use of mathematical models from probability and statistics with applications.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 112/112Z/119 as a Prerequ
 CrossListed
 None

Vectors; multivariable functions; partial derivatives; multiple integrals; vector and scalar fields; Green's and Stokes' theorems; divergence theorem.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 111 Pre/MATH 112 PreCo
 CrossListed
 PHYS 211

This is a standard first semester Differential Equations course which covers first and secondorder differential equations and systems of differential equations, with an emphasis placed on developing techniques for solving differential equations.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 112 or MATH 112Z as prere
 CrossListed
 None

Systems of linear equations, matrices, determinants, linear transformations, eigenvalues and eigenvectors, leastsquares.
 Credit Hours
 4
 GERs
 MQR
 Requisites
 MATH 112/112Z/119 as a Prerequ
 CrossListed
 None

An introduction to theoretical mathematics. Logic and proofs, operations on sets, induction, relations, functions.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 111 Pre/MATH 112 PreCo
 CrossListed
 None

Topics in the history of mathematics and their philosophical background. Genesis and evolution of ideas in analysis, algebra, geometry, mechanics, foundations. Historical and philosophical aspects of concepts of infinity, mathematical rigor, probability, etc.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 112 or MATH 112Z as prere
 CrossListed
 None

Topics in the history of mathematics and their philosophical background. Genesis and evolution of ideas in analysis, algebra, geometry, mechanics, foundations. Historical and philosophical aspects of concepts of infinity, mathematical rigor, probability, etc.
 Credit Hours
 4
 GERs
 MQRW
 Requisites
 MATH 112 or MATH 112Z as prere
 CrossListed
 None

This course is the first half of the advanced math introductory sequence. It covers the basics of linear algebra: vector spaces, linear transformations, determinants, and eigenvalues, with an emphasis on mathematical rigor. This class is for freshmen who scored a 5 on the Calculus AP BC exam.
 Credit Hours
 4
 GERs
 None
 Requisites
 AP Calculus BC as prerequisite
 CrossListed
 None

This course is the second half of the advanced mathematics introductory sequence. It covers the basics of vector calculus: differentiable mappings, differential forms, and integration theory.
 Credit Hours
 4
 GERs
 MQR
 Requisites
 None
 CrossListed
 None

 Credit Hours
 1  4
 GERs
 None
 Requisites
 None
 CrossListed
 None

Rotating topics in mathematics. May be repeated for credit when the topic varies. Pre and co requisites depend on the topic offered.
 Credit Hours
 1  5
 GERs
 WRT
 Requisites
 None
 CrossListed
 None

May be repeated for credit, total credit not to exceed six hours. Cannot be used to meet course requirements for a Math major or minor. Topics vary by instructor.
 Credit Hours
 1  4
 GERs
 None
 Requisites
 None
 CrossListed
 None
Mathematics 300Level Courses

Solution of linear and nonlinear systems of equations, interpolation, leastsquares approximation, numerical integration, and differentiation.
 Credit Hours
 4
 GERs
 MQR
 Requisites
 MATH 221/275/321 & CS 170
 CrossListed
 None

Analytic functions, elementary functions, integrals, power series, residues, and conformal mapping.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 211 & 250 or MATH 276
 CrossListed
 None

Axiomatic treatment of vector spaces, inner product spaces, minimal polynomials, Cayley Hamilton theorem, Jordan form, and bilinear forms.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 250 or 276 as prereq.
 CrossListed
 None

This course introduces the basic concepts of algebraic and analytic number theory. Topics include: congruence relations, the distribution of prime numbers, quadratic reciprocity, Diophantine equations, continued fractions, and generating functions.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 250 or 276 as prereq.
 CrossListed
 None

Combinations and permutations, counting techniques, recurrence relations, and generating functions. Block designs, finite planes, and coding theory. Introduction to graph theory.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 221/275/321 & MATH 250/27
 CrossListed
 None

Curves and surfaces in 3space. The geometry of the Gauss map. Special surfaces. The intrinsic geometry of surfaces. Surfaces and computer graphics.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 211 or 276 & 250 or 276 &
 CrossListed
 None

Principles of mathematical modeling; case studies using nonlinear ordinary differential equations, difference equations, and partial differential equations.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 212 & CS 170 as a Prerequ
 CrossListed
 None

Theory of linear programming, duality, optimal flows in networks, and mathematical programming.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 221/275/321 & CS 170
 CrossListed
 None

Nonlinear optimization problems arise in a wide range of applications, for example, in economics, physics, engineering, imaging. This introductory course covers a wide range of examples and both theory and practice of unconstrained and constrained optimization.
 Credit Hours
 3
 GERs
 None
 Requisites
 MATH (211&250)&(MATH 221or321)
 CrossListed
 None

PDEs and their origin, classification of PDEs, analytical methods for the solution of PDEs, qualitative properties of the solutions, eigenvalue problems and introduction to numerical methods.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 211/276 & 212 & 221/275/3
 CrossListed
 None

Partial Differential Equations (PDE's) are a formidable tool for describing reallife problems. In this course we use PDE's for cardiovascular problems and other reallife situations. Students will visit radiology labs and learn about image processing and numerical simulations in medicine.
 Credit Hours
 3
 GERs
 None
 Requisites
 MATH 211/276 & 212 & 221/275/3
 CrossListed
 None

Finite and continuous probability theory, distribution models (binomial, geometric, uniform, normal, Poisson, and exponential), the Chebyshev inequality, expectation and variance, moment generating functions, the central limit theorem, and applications.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 211 or 276 prerequisite
 CrossListed
 None

Fundamentals of statistical inference: estimation, properties of estimators, methods for comparing estimators, confidence intervals, hypothesis testing, regression, and analysis of variance.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 361 as a Prerequisite
 CrossListed
 None

Fundamentals of statistical inference: estimation, properties of estimators, methods for comparing estimators, confidence intervals, hypothesis testing, regression, and analysis of variance.This course is an extension of MATH 362 which includes a writing lab. Students take a writing lab and learn how to articulate why the statistical methods they use are applicable, discuss what their results show and make recommendations for future studies.
 Credit Hours
 4
 GERs
 MQRW
 Requisites
 MATH 361 as a Prerequisite
 CrossListed
 None

Rotating topics in mathematics. May be repeated for credit when the topic varies. Pre and co requisites depend on the topic offered.
 Credit Hours
 1  4
 GERs
 None
 Requisites
 None
 CrossListed
 None
Mathematics 400Level Courses

Analysis of sets and functions in nspace which focuses on basic topological properties of sets as well as continuity and differentiation of functions. Topics: exterme value theorem, chain rule, and inverse function theorem.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 211 or 276 & 250 or 276 &
 CrossListed
 None

This course is a continuation of Math 411 which focuses on integration and uniform convergence in nspace. Topics include: Stoke's theorem, Fubini's theorem, Taylor's theorem, the StoneWeierstrass theorem, and Sard's theorem.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 411 as a Prerequisite
 CrossListed
 None

Groups (definition and examples), cosets, Lagrange's Theorem, symmetric and alternating groups, Cayley's Theorem, isomorphisms, Cauchy's Theorem, quotient groups and homomorphisms, and the action of a group on a set. Additional topics may include the Sylow Theorems.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 221/275/321 & MATH 250/27
 CrossListed
 None

Ring Theory and Field Theory: polynomial rings, unique factorization, Euclidean domains, splitting fields of polynomials, elements of Galois theory, finite fields.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 421 as Prereq
 CrossListed
 None

Introduction to the use of calculus in economic analysis; comparative static problem and optimization theory; consideration of the mathematical techniques used in game theory.
 Credit Hours
 4
 GERs
 MQR
 Requisites
 MATH 211 or 276 & ECON 201
 CrossListed
 ECON 425

Rotating topics in mathematics. May be repeated for credit when the topic varies. Pre and co requisites depend on the topic offered.
 Credit Hours
 1  4
 GERs
 None
 Requisites
 None
 CrossListed
 None

May be repeated for credit when topic varies.
 Credit Hours
 1  4
 GERs
 MQR
 Requisites
 MATH 250 or 276 as prereq.
 CrossListed
 None

May be repeated for credit when topic varies.
 Credit Hours
 1  5
 GERs
 MQRW
 Requisites
 MATH 250 or 276 as prereq.
 CrossListed
 None

May be repeated for credit when topic varies.
 Credit Hours
 3
 GERs
 MQR
 Requisites
 MATH 221/275/321 & MATH 250/27
 CrossListed
 None

May be repeated for credit when topic varies.
 Credit Hours
 1  4
 GERs
 MQR
 Requisites
 MATH 221/275/321 & MATH 250/27
 CrossListed
 None

May be repeated for credit when topic varies.
 Credit Hours
 1  5
 GERs
 MQRW
 Requisites
 MATH 221/275/321 & MATH 250/27
 CrossListed
 None

May be repeated for credit when topic varies.
 Credit Hours
 1  4
 GERs
 MQR
 Requisites
 MATH 250 or 276 as prereq.
 CrossListed
 None

May be repeated for credit when topic varies.
 Credit Hours
 1  5
 GERs
 MQRW
 Requisites
 MATH 250 or 276 as prereq.
 CrossListed
 None

Normally taken in student's last semester, up to a maximum of 4 credit hours.
 Credit Hours
 1  4
 GERs
 None
 Requisites
 None
 CrossListed
 None

Normally taken in student's last semester, up to a maximum of 4 credit hours.
 Credit Hours
 1  8
 GERs
 WRT
 Requisites
 None
 CrossListed
 None

May be repeated for credit, total credit not to exceed six hours. Prerequisite: consent of instructor. Cannot be used to meet course requirements for a Math major or minor.
 Credit Hours
 1  3
 GERs
 None
 Requisites
 None
 CrossListed
 None