Mathematics
School of Mathematics and Statistics
HP 4302
Tel: 613-520-2155
mathstat.carleton.ca
- M.Sc. Mathematics (Applied Mathematics, Probability and Statistics, Pure Mathematics)
- M.Sc. Mathematics with Specialization in Bioinformatics (Specialization requirements listed under Bioinformatics)
- M.Sc. Mathematics with Specialization in Biostatistics (Collaborative Program) (Specialization requirements listed under Biostatistics)
- M.Sc. Information and Systems Science (Mathematics) (Listed under Information and Systems Science)
- Ph.D. Mathematics (Applied Mathematics, Probability and Statistics, Pure Mathematics)
M.Sc. Mathematics
About the Program
Students pursuing studies in pure mathematics, applied mathematics, probability and statistics at the graduate level leading to an M.Sc. or a Ph.D. do so in a joint program offered by the School of Mathematics and Statistics at Carleton University and the Department of Mathematics and Statistics at the University of Ottawa under the auspices of the Ottawa-Carleton Institute of Mathematics and Statistics. The Institute is responsible for supervising the programs, regulations, and student admissions, and for providing a framework for interaction between the two departments at the research level.
Academic Regulations
See the General Regulations section of this Calendar.
Admission Requirements
The normal requirement for admission to the master's program is an Honours bachelor's degree in mathematics, or the equivalent, with at least high honours standing.
Applicants holding a general (three-year) degree with at least high honours standing may be admitted to a qualifying-year program.
Subsequent admission to the regular master's program depends on performance during the qualifying-year program and will be decided no later than one year after admission to the qualifying-year program. Details are outlined in the General Regulations section of this Calendar.
Program Requirements
The three options for the M.Sc. program are:
- 2.0 credits and a thesis, or
- 3.0 credits and a research project, or
- 4.0 credits
Notes:
- A maximum of 1.0 credit of undergraduate courses at the 4000-level may be taken to satisfy these requirements.
- Students should consult their supervisors regarding their course selection to ensure that not all courses taken are in the same field of mathematics; at least 1.0 credit should be in another field.
- All master's students are encouraged to participate in a seminar or project under the guidance of their supervisors.
- A maximum of 1.0 credit taken outside of the School of Mathematics and Statistics at Carleton University or the Department of Mathematics and Statistics at the University of Ottawa may be allowed for credit, subject to the approval of the School.
- Students who plan to specialize in probability or statistics are strongly advised that during their master's program they include, where possible, the courses STAT 5600, STAT 5501 in mathematical statistics, STAT 4502, STAT 5505 in applied statistics, and STAT 4501, STAT 5701 in probability. In addition, a graduate course in another field, such as biology, biostatistics, economics, computer science, systems analysis, and stochastic modeling, is highly recommended.
Course Selection
The following undergraduate courses may, with the approval of the School of Mathematics and Statistics, be selected by master's candidates in partial fulfillment of their degree requirements. Students should consult their supervisors regarding course selection to ensure that not all courses taken are in the same field of mathematics; at least 1.0 credit should be in another field.
Mathematics and Statistics
MATH 4002 Fourier Analysis
MATH 4105 Rings and Modules
MATH 4107 Commutative Algebra
MATH 4109 Fields and Coding Theory
MATH 4207 Foundations of Geometry
MATH 4208 Introduction to Differentiable Manifolds
MATH 4700 Partial Differential Equations
MATH 4703 Qualitative Theory of Ordinary Differential Equations
MATH 4801 Topics in Combinatorics
MATH 4802 Introduction to Mathematical Logic
MATH 4803 Topics in Applied Logic
MATH 4806 Numerical Analysis
MATH 4808 Graph Theory and Algorithms
MATH 4811 Combinatorial Design Theory
STAT 4501 Probability Theory
STAT 4502 Sampling: Theory and Methods
STAT 4504 Statistical Design and Analysis of Experiments
STAT 4601 Data Mining 1
STAT 4603 Time Series and Forecasting
STAT 4604 Statistical Computing
STAT 4605 Statistical Methods in Biostatistics
STAT 4606 Practices in Biostatistics
Ph.D. Mathematics
About the Program
Students pursuing studies in pure mathematics, applied mathematics, probability and statistics at the graduate level leading to an M.Sc. or a Ph.D. do so in a joint program offered by the School of Mathematics and Statistics at Carleton University and the Department of Mathematics and Statistics at the University of Ottawa under the auspices of the Ottawa-Carleton Institute of Mathematics and Statistics. The Institute is responsible for supervising the programs, regulations, and student admissions, and for providing a framework for interaction between the two departments at the research level.
Academic Regulations
See the General Regulations section of this Calendar.
Admission Requirements
The normal requirement for admission to the Ph.D. program is a master's degree in mathematics, or the equivalent, with at least B+ standing. Details are outlined in the General Regulations section of this Calendar.
Program Requirements
Course requirements include a minimum of 3.0 credits and a suitable thesis.
Not all of these courses may be taken in the same field of mathematics; at least 1.0 credit must be in another field.
All candidates must take comprehensive examinations.
All candidates must satisfy a language requirement. The language requirement is determined by the candidate's advisory committee and normally requires the ability to read mathematical literature in a language considered useful for his/her research or career, and other than the candidate's principal language of study.
Students specializing in mathematics or probability undertake a comprehensive examination in the following areas:
- The candidate's general area of specialization at the Ph.D. level
- Examinations on two topics chosen from applied analysis, discrete applied mathematics, algebra, analysis, probability, topology, and statistics.
Students specializing in statistics must write an examination in the following areas:
- Mathematical statistics which includes multivariate analysis
- An examination in probability, and
- An examination in either (i) applied statistics, or (ii) analysis
In all cases, the examination must be completed successfully within twenty months of initial registration in the Ph.D. program in the case of full-time students, and within thirty-eight months of initial registration in the case of part-time students.
All Ph.D. candidates are also required to undertake a final oral examination on the subject of their thesis.
