Semester Conversion Documents
All materials on this page are provisional, and subject to review and approval
by the College of Arts and Sciences and Northeastern University
Existing courses and requirements
Semester conversion forms and guidelines
MS in Mathematical Sciences
Common to all concentrations
Routing Form,
Chart A,
Objectives.
Concentration in Pure Math
Sequencing.
Analysis 1,
Algebra 1,
Analysis 2,
Algebra 2,
Topology 1,
Geometry 1,
Combinatorial Analysis,
Algebra 3.
Concentration in Discrete Mathematics
Sequencing.
Analysis 1,
Algebra 1,
Algebra 2,
Probability 1.
Discrete & Computational Geometry,
Combinatorial Analysis,
Graph Theory,
Topology 1/
Probability 2.
Concentration in Probability/Statistics
Sequencing.
Analysis 1,
Algebra 1,
Analysis 2,
Probability 1,
Probability 2,
Mathematical Statistics,
Applied Statistics,
Regression, ANOVA and Design,
Topics in Statistics,
Nonparametric Methods in Statistics,
Time Series.
Concentration in Applied Analysis
Sequencing.
Analysis 1,
Algebra 1,
Analysis 2,
Algebra 2,
Ordinary Differential Equations 1,
Partial Differential Equations 1,
Numerical Analysis.
MS in Operation Research
MAT program
PhD in Mathematics
Common to all concentrations
Routing Form,
Chart A,
Objectives.
Concentration in Algebra
Sequencing.
Required:
Commutative Algebra,
Lie Theory,
Algebraic Geometry 1,
Representations of Finite Groups.
Electives:
Topics in Algebra,
Topics in Algebraic Geometry,
Topics in Representation Theory,
Complex Manifolds,
Algebraic Number Theory,
Introduction to Schemes.
Concentration in Geometry/Topology
Sequencing.
Required:
Geometry 2,
Topology 2,
Geometry 3,
Topology 3.
Electives:
Differential Geometry 1,
Differential Geometry 2,
Topics in Differential Geometry,
Riemannian Geometry and General Relativity,
Topics in Topology,
Morse Theory,
Characteristic Classes,
Topology of Complex Hypersurfaces.
Concentration in Geometric Analysis/PDE
Sequencing.
Required:
Ordinary Differential Equations 1,
Partial Differential Equations 1,
Functional Analysis,
Complex Analysis.
Electives:
Topics in Differential Equations,
Partial Differential Equations 2,
Mathematical Methods of Classical Mechanics,
Mathematical Methods of Quantum Mechanics,
Atiyah-Singer Index Theorem,
Von Neumann Algebras and Applications.
Concentration in Probability/Statistics
Sequencing.
Required:
Topics in Statistics,
Optimization and Complexity,
Nonparametric Methods in Statistics,
Electives:
Regression, ANOVA and Design,
Time Series,
Statistical Decision Theory,
Categorical Data Analysis,
Stochastic Calculus and Introduction to No-Arbitrage Finance,
Readings in Probability and Statistics.
Concentration in Combinatorics
Sequencing.
Required:
Algebraic Combinatorics,
Geometric Combinatorics,
Optimization & Complexity,
Topics in Combinatorics.
Electives:
Readings in Combinatorics and Algebra,
Readings in Combinatorial Geometry,
Readings in Graph Theory.
Requirements for MS Degree Program (8 required courses)
Concentration: Pure Mathematics
7 Required: Algebra 1, Analysis 1, Algebra 2, Analysis 2, Topology 1, Combinatorial Analysis, Geometry 1.
1 Elective: Algebra 3, Geometry 2, Topology 2, or an advanced course in Analysis.
Concentration: Discrete Mathematics
7 Required: Algebra 1, Analysis 1, Algebra 2, Probability 1, Combinatorial Analysis,
Discrete & Computational Geometry, Graph Theory.
1 Elective: Topology 1 or Probability 2
Concentration: Probability/Statistics
7 Required: Algebra 1, Analysis 1, Analysis 2, Probability 1, Probability 2,
Mathematical Statistics, Applied Statistics
1 Elective: Regression, ANOVA and Design; Topics in Statistics; Nonparametric Methods in Statistics;
or Time Series.
Concentration: Applied Analysis
7 Required: Algebra 1, Analysis 1, Analysis 2, Algebra 2, ODE 1, PDE 1, Numerical Analysis
1 Elective: advanced course in Analysis or Geometry 1.
PhD degree Program (8 required courses, 2 dissertation courses)
8 courses beyond MS degree and 2 PhD dissertation courses leading to thesis topic.
Two of the eight courses must be in a minor speciality, which is different from the thesis area.
Students need to pass three qualifying 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%.
Students in the PhD program are required to take 2 PhD thesis dissertation courses in their third year.
A thesis, consisting of original work, approved by the advisor and a thesis committee of at least 4 members.
Concentration: Algebra
4 Required courses: Commutative Algebra, Algebraic Geometry 1, Lie Theory, Representation of Finite Groups
2 Elective courses
2 courses in a minor speciality (above the MS degree level)
2 PhD thesis dissertation courses
Concentration: Geometry/Topology
4 Required courses: Topology 2, Geometry 2, Topology 3, Geometry 3
2 Elective courses, from: Differential Geometry 1, Differential Geometry 2,
Topics in Differential Geometry, General Relativity,
Topics in Topology, Morse Theory, Characteristic Classes, Topology of Complex Hypersurfaces.
2 courses in a minor speciality (above the MS degree level)
2 PhD thesis dissertation courses
Concentration: Geometric Analysis/PDE
4 Required courses: ODE 1, PDE 1, Functional Analysis, Complex Analysis.
2 Elective courses, from: Topics in Differential Equations, Partial Differential Equations 2,
Mathematical Methods of Classical Mechanics,
Mathematical Methods of Quantum Mechanics, Atiyah-Singer Index Theorem,
Von Neumann Algebras and Applications
2 courses in a minor speciality (above the MS degree level)
2 PhD thesis dissertation courses
Concentration: Probability/Statistics
4 Required courses: Topics in Statistics, Optimization and Complexity,
Nonparametric Methods in Statistics, Regression, ANOVA and Design.
2 Elective courses, from: Time Series; Statistical Decision Theory;
Categorical Data Analysis; Stochastic calculus and introduction to
no-arbitrage finance; Readings in Probability and Statistics.
2 courses in a minor speciality (above the MS degree level)
2 PhD thesis dissertation courses
Concentration: Combinatorics
4 Required courses: Algebraic Combinatorics, Geometric Combinatorics, Optimization & Complexity,
Topics in Combinatorics,
2 Elective courses: Readings in Combinatorics and Algebra,
Readings in Combinatorial Geometry, Readings in Graph Theory
(also, Discrete & Computational Geometry or Graph Theory, if
not already taken in the MS program).
2 courses in a minor speciality (above the MS degree level)
2 PhD thesis dissertation courses
M.A.T. (Math Education for Teachers) Program
Operations Research Program
Time limit
Master of Science. Coursework in the MS degree program is valid for seven years. All MS students must complete their degree requirements within seven years of entering the program.
Doctor of Philosophy. Students in the PhD program are required to take 2 thesis dissertation courses in their third year (by their fourth year for part-time students) and required to finish their degree before the end of their eighth year (ninth in the case of part-time students). Students can only get support for up to five years if they progess well. In addition, a maximum of five years after the establishment of doctoral degree candidacy will be allowed for the completion of degree requirements.
Leaves of Absence. Graduate students may request to take a leave of absence for a year. The request must be approved by the graduate coordinator and the Graduate School of Arts and Sciences. Please note that being on an approved leave of absence does not extend the amount of time allowed for degree completion or the make-up of incomplete grades.
Started: March 21, 2001. Last modified: October 23, 2002
Page created and maintained by: Alex Suciu
Comments to: alexsuciu@neu.edu
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