Quarter System Requirements for Graduate Degrees

Part I. MS degree program 12 courses are required.

Required: Algebra I, Algebra 2, Top 1, Top 2, Real Analysis, Complex analysis, Geometry 1, Geometry 2,
two courses in a subspecialty above the level of the required courses,
two other courses.

Required: Algebra I, Algebra 2, Top 1, Top 2, Real Analysis, Complex analysis, Geometry 1, Geometry 2, Functional Analysis.
Concentration in ODE: ODE 1, ODE 2 and ODE 3. Concentration in PDE: PDE 1, PDE 2 and one other courses.

Required: Algebra I, Algebra II, Real Analysis, Complex Analysis, Enumeration, Graph Theory, Discrete & Computational Geometry (course to be designed).
3 of the following: Coding Theory, Optimization, Complexity Theory, Probability I, Probability II.
2 of the following: Algebra III, Probability II, Statistics I, Numerical Analysis

Required: Algebra I, Real Analysis, Prob 1, Prob 2, Stat 1, Statistical decision theory, ANOVA, Applied Statistics.
a core course from the CS Master's program.
3 other courses.

Algebra 1, Algebra 2, Real analysis, Enumeration, complexity theory, Prob 1, Statistics 1,
4 courses from Computer Science department's Master degree program and one other course.

Algebra (3002 or above), Analysis (3009 or above), discrete geometry, probability, statistics (the last two can be taken in the undergraduate curriculum for 3 graduate credits each).
Five quarters (total 15 credits) of Education seminar.
Two Master degree level electives in Mathematics or Computer Science department.

8 courses beyond MS degree and three PhD dissertation courses leading to thesis topic. Three of the eight courses must be in a minor speciality, which is different from the thesis area.
Students need to pass three qualify exams, one in Algebra, one in Analysis and one in their own specialization, and pass at least two by the end of the second year. These exams are given twice per year, one in January and one in June. Each exam can be taken twice. The passing grade is 70%. For lists of material covered by these exams, see our website www.math.neu.edu
A student in the PhD program is required to take 3 PhD thesis dissertation courses in their third year.
A thesis, which consists of orignial work, approved by the advisor and a thesis committtee of 4 members.

two of the following: Commutative algebra, Algebraic geometry, Homological algebra, Representation theory,
three of the following: non-commutative algebra, algebraic combinatorics, algebraic number theory, algebraic K-theory, computational algebraic geometry, Lie theory, group theory,
one other course in algebra,
3 courses in a minor speciality (above the MS degree level),
3 PhD thesis dissertation courses

Required: Characteritic classes, Morse theory, Lie theory, Differential Geometry 2,
one of the following: Topics in topology, singularity of complex hypersurfacfes, topics in differential geometry,
3 courses in a minor speciality (above the MS degree level),
3 PhD thesis dissertation courses

Five of the following: Advanced analysis, pseudo-differential operators and applications, methods of classical mechanics, mathematical methods of fluid mecanics, mathematical theory of quantum mechanics, Topics in Differential geometry, several complex variables, Lie theory, Prob 2.
3 courses in a minor speciality (above the MS degree level),
3 PhD thesis dissertation courses

Required: Topics in Stat, Nonparametric statistic, Categorical data, Time series, Pattern recognition,
3 courses in a minor speciality (above the MS degree level),
3 PhD thesis dissertation courses

3 of the following, but at most 1 of the last three courses: Geometric Combinatorics (course to be designed), Algebraic Combinatorics, Topics in Combinatorics, Representation Theory, Graph Theory, Discrete & Computational Geometry, Coding Theory.
2 advance courses approved by advisor.
3 courses in a minor speciality (above the MS degree level),
3 PhD thesis dissertation courses
Note: The Master's degree courses in Coding Theory, Graph Theory, and Discrete & Computational Geometry are included in the list of choices in case a PhD student wants to write a thesis in one of these subjects but has not taken the course as a Master's student (for example, because he/she entered only at the PhD level).

Students in MS degree program are required to finish their degree in seven years (part time students).
Full time students in PhD program are required to take three thesis dissertation in their third year and required to finish their degree before the end of their eighth year. Note a student only can get support for up to five years if they progess well.
Part time students in PhD program are required to take three thesis dissertation in their fourth year and required to finish their degree before the end of their nineth year.
Students in MS or PhD program can request to take a leave of absence for a year, the request has to be approved by the graduate coordinator.

Started: Sept. 30, 2000. Last modified: Oct. 18, 2000
Page created and maintained by: Alex Suciu
Comments to: alexsuciu@neu.edu