Mathematics 4000 Series
4111 TOPOLOGY
An introduction to the study of metric and
topological spaces, convergence, and
continuous functions.
Prereq: Mathematics 3111; or permission of
the Department.
Note: Not available for credit for students who
have completed Mathematics 4110.
4131 COMPLEX VARIABLES WITH APPLICATIONS
This course is designed primarily for students i n mathematics, physics, or engineering. It covers analytic functions, Cauchy-Riemann equations, conformal mapping, complex integrals, Cauchy's integral theorem, Taylor and Laurent Series, residues, evaluation of real integrals, and inverse transforms.
Prereq: Mathematics 2111; 2121; or permission of the Department.
4141 MEASURE AND INTEGRATION
Topology of Rn, Lebesque Measure, Measurable Functions, the
Lebesque integral, the convergence theorems and products
measures. As time permits, other topics such as abstract
measure theory, Lp-spaces and absolute continuity will be covered.
Prereq: Mathematics 3110; or permission of the Department.
4151 BOUNDARY AND EIGENVALUE PROBLEMS
This course is designed primarily for students in mathematics,
physics, or engineering. It extends the material studied in
Mathematics 3131. Topics include separation of variables
(product method), generalized Fourier series, Sturm-Liouville
theory, Legendre polynomials, Bessel Functions, Green's
functions, and calculus of variations.
Prereq: Mathematics 3131; or permission of the Department.
4161 TOPICS IN CLASSICAL APPLIED MATHEMATICS
This course covers selected topics in Classical Applied Mathematics,
depending on the background and interests of the students involved.
Prereq: Mathematics 4131 and 4151; or permission of the Department.
4211 TOPICS IN ALGEBRA
This course covers selected topics in Algebra, depending on the
background and interests of the students involved.
Prereq: Mathematics 3221; or permission of the Department.
4221 MODERN ALGEBRA II
The classical theory of fields and rings and their applications.
Prereq: Mathematics 3211; or permission of the Department.
4311 TOPICS IN PROBABILITY AND STATISTICS
This course covers selected topics in Probability and Statistics,
depending on the background and interests of the students involved.
Prereq: Mathematics 3311 and 3321; or permission of the Department.
4431 DYNAMICS OF NON-LINEAR SYSTEMS
This course introduces the student to an important modern mathematical
approach to a variety of physical problems that have a characteristic
behaviour related mainly to the non-linearity of the underlying equations
that explain the phenomena. Topics to be studied include fractals, chaotic
dynamics, time series analysis, vector fields and flows, and maps.
Prereq: Physics 2251 and 2701;
Mathematics 3431; or permission of the Department.
Note: This course is cross-listed as Physics 4431
and may therefore count as a three unit credit in either discipline.
4631 THEORY OF COMPUTATION
This course is an introduction to theoretical
aspects of Computer Science such as formal
language and automata theory and complexity
theory.
Prereq: Mathematics 2211 and Computer
Science 1721; or permission of the
Department.
Note: This course is cross listed as Computer
Science 4631and may therefore count as three
credits in either discipline.
4951 SPECIAL TOPICS IN MATHEMATICS
This course enables students to pursue their
interests in areas not covered by other classes
offered at the 4000 level. It usually involves
independent study in a programme planned
by the student and approved by the
Department.
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