Academic Staff
Program Information
The department offers Master’s and Ph.D. programs at the graduate level, which cover many areas of mathematics. Graduates find work in industry or in academia.
Fields of Research
The department has people working in the areas of algebra, analysis, computational mechanics, computer graphics, differential equations, discrete mathematics, finite-element methods, foundations, geometry, matrix computations, numerical analysis and topology. More information about specific individuals and their current graduate students can be found on the department web pages.
The department operates several seminars in addition to graduate courses. Faculty, graduate students and visitors from all over the world participate in such research seminars. Regular seminars are held in discrete mathematics, functional analysis, rings and modules, mathematical biology and universal algebra/lattice theory. There is also a weekly graduate student seminar in which graduate students give talks on topics of their choice.
Research Facilities
The department provides each graduate student with an office and access to computers, laser printers, mail, photocopier, fax machine, mathematical journals, a reading room and a lounge.
The computer room has several Macintosh and Windows computers running the operating systems - Mac O/S, Windows 2000. Software programs include Maple, Mathematica, MathCad, Matlab, Scientific Workplace, word processing/spreadsheet programs, web access and network access to UNIX servers.
M.Sc. in Mathematics
Admission
In addition to the admission requirements of the Faculty of Graduate Studies found in the Graduate Studies Regulations Section of this Calendar, students should generally have a strong background in Mathematics with courses leading to an Honours or four-year Major in Mathematics in a B.Sc., B.A., or equivalent degree. The student's background will be evaluated by the department’s Graduate Studies Committee and admission to the program will be based on this evaluation. Students with other degrees or backgrounds may be eligible for admission to a pre-Master’s program to the satisfaction of the department. Courses will be prescribed on an individual basis to help the student qualify for graduate work in Mathematics. Contact the department for information.
Application Deadlines
Canadian/U.S. students should submit their application and supporting documentation to the Department at least 4 months prior to their intended start date. International students should submit their application and supporting documentation to the Department at least 9 months prior to their intended start date.
Program Requirements
Minimum program requirements of the Faculty of Graduate Studies are found in the Graduate Studies Regulations Section of this Calendar. The program consists of approved coursework and a thesis or practicum. Students are required to take 15 credit hours of coursework, of which at least 6 hours must be at the graduate level and at least 6 hours in an area of mathematics clearly different from the area of specialization of the thesis or practicum. Particular programs of study within Mathematics may require courses outside the Department of Mathematics.
Second language reading requirement: none
Expected time to graduate: two years
Ph.D. in Mathematics
Admission
Admission requirements are those of the Faculty of Graduate Studies found in the Graduate Studies Regulations Section of this Calendar. Students entering the Ph.D. program must have either an Honours degree or a M.Sc. degree in Mathematics.
Application Deadlines
Canadian/U.S. students should submit their application and supporting documentation to the Department at least 4 months prior to their intended start date. International students should submit their application and supporting documentation to the Department at least 9 months prior to their intended start date.
Program Requirements
Minimum program requirements of the Faculty of Graduate Studies are found in the Graduate Studies Regulations Section of this Calendar. Particular programs of study within mathematics may require courses outside the Department of Mathematics. In addition to the course work, the student is required to take a candidacy examination, which will consist of three comprehensive exams from the following areas: Algebra, Analysis, Combinatorics, Differential Equations, Geometry, Computational Mathematics, Topology, at least one of which must be Algebra or Analysis. The candidate’s supervisor must approve the choice of subjects. To proceed to a Ph.D. degree a student must have a grade of “A” on each of the three parts.
Second language requirement: yes
Expected time to graduation: 3-5 years
Course Descriptions
The department offers courses in several areas of Mathematics. The content of each topics course will be chosen from the topics listed, and an appropriate subtitle will be attached to the course name. Thus, a course with a given number can be taken more than once by using different subtitles.
The “seminar” courses are for special topics not included among the listed ones.
MATH 8010 Advanced Matrix Computations Cr.Hrs.3 (Formerly 136.801) Matrix computation, decomposition of matrices, iterative methods, sparse matrices, eigenvalue problems. Prerequisites: linear algebra, computing, numerical analysis, and consent of instructor.
MATH 8110 Applied Finite Element Analysis Cr.Hrs.3 (Formerly 136.811) Theory and practice of the finite element method of the solution of partial differential equations and its application to engineering and scientific problems. It includes the h, p and h-p versions, a priori and a posteriori error estimates, adaptability and the structure of finite element software. Prerequisite: numerical analysis and partial differential equations or consent of the instructor.
MATH 8150 Numerical Solution of Partial Differential Equations Cr.Hrs.3 (Formerly 136.815) Finite-difference and finite-element methods for parabolic, elliptic and hyperbolic partial differential equations. Prerequisites: partial differential equations, numerical analysis, and consent of instructor.
MATH 8210 Topics in Combinatorics 1 Cr.Hrs.3 (Formerly 136.821) Topics will be chosen from the areas of algebraic combinatorics, coding theory, design theory, enumerative combinatorics, graph theory, Prerequisite: approval of department.
MATH 8220 Topics in Combinatorics 2 Cr.Hrs.6 (Formerly 136.822) Topics will be chosen from the areas of algebraic combinatorics, coding theory, design theory, enumerative combinatorics, graph theory. Prerequisite: approval of department.
MATH 8310 Partial Differential Equations of Applied Mathematics Cr.Hrs.3 (Formerly 136.831) Complex-variable methods, perturbation methods, variational methods, discontinuities. Prerequisites: partial differential equations, complex variables, and consent of instructor.
MATH 8410 Seminar in Applied and Computational Mathematics 1 Cr.Hrs.3 (Formerly 136.841) Designed to accommodate special topics in applied or computational areas of mathematics not included in other course offerings. Students are advised to consult the department as to availability.
MATH 8420 Seminar in Applied and Computational Mathematics 2 Cr.Hrs.6 (Formerly 136.842) Designed to accommodate special topics in applied or computational areas of mathematics not included in other course offerings. Students are advised to consult the department as to availability.
MATH 8430 Seminar in Mathematics 1 Cr.Hrs.3 (Formerly 136.843) Designed to accommodate special topics not included in topics' courses. Prerequisite: approval of department.
MATH 8440 Seminar in Mathematics 2 Cr.Hrs.6 (Formerly 136.844) Designed to accommodate special topics not included in topics' courses. Prerequisite: approval of department.
MATH 8510 Topics in Algebra 1 Cr.Hrs.3 (Formerly 136.851) Topics will be chosen from the areas of associative and non-associative algebras, Boolean algebra and lattice theory, category theory, group theory, ring theory and universal algebra. Prerequisite: approval of department.
MATH 8520 Topics in Algebra 2 Cr.Hrs.6 (Formerly 136.852) Topics will be chosen from the areas of associative and non-associative algebras, Boolean algebra and lattice theory, category theory, group theory, ring theory and universal algebra. Prerequisite: approval of department.
