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://math.emory.edu
Concentrations
- Major in Applied Mathematics (BS)
- Major in Applied Mathematics and Statistics (BS)
- Major in Economics and Mathematics (BA)
- Major in Mathematics (BA)
- Major in Mathematics (BS)
- Major in Mathematics and Computer Science (BS)
- Major in Mathematics and Political Science (BA)
- Minor in Applied Mathematics
- Minor in Mathematics
Faculty
- Chair
- James Nagy
- Director of Undergraduate Studies
- Michael Carr
- Core
- David BorthwickMichael CarrDwight DuffusJohn DuncanBree EttingerMichelangelo GrigniKenneth MandelbergManuela ManettaTalea MayoJames NagyVictoria PowersParimala RamanVojtech RodlRobert RothLars RuthottoMaja TaskovicBrooke UllerySuresh VenapallyAlessandro VenezianiJuan Villeta-GarciaYiran WangYuanzhe XiShanshuang YangLiana YepremyanDavid Zureick-Brown
Courses
Mathematics 100-Level Courses
-
Convex sets, linear inequalities, linear programming, two-person games, finite graphs. Applications in management, economics, and behavioral sciences.
- Credit Hours
- 3
- GERs
- MQR
- Requisites
- None
- Cross-Listed
- None
-
Pre-calculus topics practiced in the context of elementary calculus concepts (limits, derivatives, and antiderivatives). For students who need a review of transcendental functions while learning calculus. Provides a solid foundation for subsequent calculus courses.
- Credit Hours
- 3
- GERs
- MQR
- Requisites
- None
- Cross-Listed
- None
-
Limits, continuity, derivatives, antiderivatives, the definite integral.
- Credit Hours
- 3
- GERs
- MQR
- Requisites
- PROHIBITS: MATH 111
- Cross-Listed
- 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
- Cross-Listed
- 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.
- Cross-Listed
- 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.
- Cross-Listed
- None
-
Rotating topics in math. May be repeated for credit when the topic varies. Prerequisites and co requisites depend on the topic offered.
- Credit Hours
- 1 - 4
- GERs
- None
- Requisites
- None
- Cross-Listed
- None
-
Topics will be announced each semester when class is scheduled.
- Credit Hours
- 3
- GERs
- FSEM
- Requisites
- None
- Cross-Listed
- None
Mathematics 200-Level 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
- Cross-Listed
- None
-
This course is a short treatment of MATH 112 and 211 with a lab component. It is not appropriate for students who have taken MATH 211. Topics include: advanced integration, Taylor series; and multivariable differentiation, optimization and integration; and applications to statistics and science.
- Credit Hours
- 4
- GERs
- MQR
- Requisites
- MATH 111 as prerequisite
- Cross-Listed
- 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 112/112-MATH_OX 112/112Z
- Cross-Listed
- None
-
This is a standard first semester Differential Equations course which covers first and second-order 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
- Cross-Listed
- None
-
Systems of linear equations, matrices, determinants, linear transformations, eigenvalues and eigenvectors, least-squares.
- Credit Hours
- 4
- GERs
- MQR
- Requisites
- MATH 111 or 112 or 112Z prereq
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- 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
- MATH 275 as prerequisite
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- None
Mathematics 300-Level Courses
-
Solution of linear and nonlinear systems of equations, interpolation, least-squares approximation, numerical integration, and differentiation.
- Credit Hours
- 4
- GERs
- MQR
- Requisites
- MATH 221/275/321 & CS 170
- Cross-Listed
- None
-
Analytic functions, elementary functions, integrals, power series, residues, and conformal mapping.
- Credit Hours
- 3
- GERs
- MQR
- Requisites
- MATH 211 & 250 or MATH 276
- Cross-Listed
- 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.
- Cross-Listed
- 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.
- Cross-Listed
- 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
- Cross-Listed
- None
-
Curves and surfaces in 3-space. The geometry of the Gauss map. Special surfaces. The intrinsic geometry of surfaces. Surfaces and computer graphics.
- Credit Hours
- 3
- GERs
- MQR
- Requisites
- MATH 211/276&221/275/321&250/2
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- 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 211/276&221/275/321&250/2
- Cross-Listed
- 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
- Cross-Listed
- None
-
Partial Differential Equations (PDE's) are a formidable tool for describing real-life problems. In this course we use PDE's for cardiovascular problems and other real-life 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
- Cross-Listed
- 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 210 or 211 or 276 prereq.
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- None
Mathematics 400-Level Courses
-
Analysis of sets and functions in n-space 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 211/276&221/275/321&250/2
- Cross-Listed
- None
-
This course is a continuation of Math 411 which focuses on integration and uniform convergence in n-space. Topics include: Stoke's theorem, Fubini's theorem, Taylor's theorem, the Stone-Weierstrass theorem, and Sard's theorem.
- Credit Hours
- 3
- GERs
- MQR
- Requisites
- MATH 411 as a Prerequisite
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- 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
- Cross-Listed
- None
-
May be repeated for credit when topic varies.
- Credit Hours
- 1 - 4
- GERs
- MQR
- Requisites
- MATH 250 or 276 as prereq.
- Cross-Listed
- None
-
May be repeated for credit when topic varies.
- Credit Hours
- 1 - 5
- GERs
- MQRW
- Requisites
- MATH 250 or 276 as prereq.
- Cross-Listed
- None
-
May be repeated for credit when topic varies.
- Credit Hours
- 3
- GERs
- MQR
- Requisites
- MATH 221/275/321 & MATH 250/27
- Cross-Listed
- None
-
May be repeated for credit when topic varies.
- Credit Hours
- 1 - 4
- GERs
- MQR
- Requisites
- MATH 221/275/321 & MATH 250/27
- Cross-Listed
- None
-
May be repeated for credit when topic varies.
- Credit Hours
- 1 - 5
- GERs
- MQRW
- Requisites
- MATH 221/275/321 & MATH 250/27
- Cross-Listed
- None
-
May be repeated for credit when topic varies.
- Credit Hours
- 1 - 4
- GERs
- MQR
- Requisites
- MATH 250 or 276 as prereq.
- Cross-Listed
- None
-
May be repeated for credit when topic varies.
- Credit Hours
- 1 - 5
- GERs
- MQRW
- Requisites
- MATH 250 or 276 as prereq.
- Cross-Listed
- None
-
Normally taken in student's last semester, up to a maximum of 4 credit hours.
- Credit Hours
- 1 - 4
- GERs
- None
- Requisites
- None
- Cross-Listed
- None
-
Normally taken in student's last semester, up to a maximum of 4 credit hours.
- Credit Hours
- 1 - 8
- GERs
- WRT
- Requisites
- None
- Cross-Listed
- None
-
Students conduct directed or supervised research in support of a faculty member's research project or agenda. Permission of the department and a supervising faculty member is required.
- Credit Hours
- 1 - 4
- GERs
- None
- Requisites
- None
- Cross-Listed
- None
-
Students study, read, and write on a topic under the direction or supervision of a faculty member. Permission of the department and a supervising faculty member is required.
- Credit Hours
- 1 - 4
- GERs
- None
- Requisites
- None
- Cross-Listed
- None
-
Students conduct independent research in support of their own research agenda or question with guidance from a faculty member. Permission of the department and a supervising faculty member is required.
- Credit Hours
- 1 - 4
- GERs
- None
- Requisites
- None
- Cross-Listed
- None