MAED Courses
5 core courses offered every year
- Mathematical analysis and its applications I
(MAED 5021)
This course is introduction to analysis and its applications. Topics
will be selected from: Countable and uncountable sets, metrics, norms,
open sets, closed sets, continuity, homeomorphisms, connectedness,
complete metric spaces, totally bounded sets, fixed points, compact
metric spaces, uniform continuity, category, the Baire Category
Theorem, sequences of functions, pointwise and uniform convergence, the
space of bounded functions.
- Algebra and its applications I (MAED 5121)
This course is an introduction to abstract algebra and it
applications. Topics include: Groups, rings, homomorphisms, quotients,
group actions, polynomial rings, chinese remainder theorem,
applications to encryption and codes, field extensions geometric
constructions.
- Classical and modern geometry (MAED 5211)
This course is about important ideas in the development of geometry.
Topics include logic and axiomatic system, projective geometry,
Hilbert’s axioms, hyperbolic models, geometric transformations,
hyperbolic trigonometry.
- Probablity and Statistics (MAED 5421)
This course serves those who want to use statistics in their
careers or teach statistics/probability (or topics related to
statistics and probability). Topics include: Descriptive statistics,
examples of commonly-used probability distributions and their
applications, main techniques for estimation and testing of model
parameters, and regression modeling. Statistical and probabilistic
techniques will be illustrated by using the open source statistics
package "R" to analyze data in education.
- Problem solving strategies (MAED 5731)
This course covers strategies and techniques for solving math problems
that appear in high school or university level math competitions, such
as the International Mathematical Olympiad or the William Lowell Putnam
Math Competition. Students will have opportunities to present solutions
of these problems. It is hoped they can compare the strength and
weakness of these methods.
At least 4 elective courses offered every year on
a rotational basis from:
- Applications of geometry and analysis (MAED
5032)
This course will show how mathematical analysis can be used to
investigate a variety of physical phenomena. Kepler’s laws of planetary
motion will be derived from Newton’s law gravitation. Further topics
will be the use of differential geometry, in particular Gaussian
curvature, in describing space curves and surfaces. Additional topics
will be other historically important uses of differential equations,
Fourier series and harmonic analysis.
- Classical and abstract algebra (MAED 5111)
This is a course on real numbers and polynomials. Topics include:
Real and complex number systems, Dedekind cuts, fundamental theorem of
algebra, cubic and quartic equations, conics, symmetric polynomials,
special polynomials.
- Combinatorics (MAED 5321)
This course to provide students with general knowledge of useful
principles in combinatorics. Topics will be selected from: Graph
theory, systems of distinct representatives, flows in networks, Latin
squares, Hadamard matrices, Reed-Muller codes, combinatorial designs
and projective geometries.
- Topics in Mathematics (MAED 5821)
This course in which students are shown how mathematical theories
are applied to various disciplines. It consists of four modules chosen
from mathematical physics, mathematical biology, game theory, image
processing and traffic flow.
- Scientific computation (MAED 5851)
This course is an introduction to case studies drawn from
different areas of science to illustrate the use of computers as a
problem-solving tool. Each integrates physical principles and
mathematical models, as well as numerical techniques and computer
implementations, into a coherent perspective. Topics include:
Damped-driven pendulum, phase space, Fourier series, spectral analysis,
visualization, fractals, and computational fluid dynamics
(CFD).
- MSc Project (MAED 6980)
This course in which student will do a project under the guidance of an
MAED instructor.
- Independent Study (MAED 6981)
This course is for independent study under the guidance of an MAED
instructor.
Typical two year part-time study sequence
Year One:
- Fall
MAED 5021 - Mathematical analysis and its applications I
MAED 5121 - Algebra and its applications I
1st elective course
- Spring
MAED 5211 - Classical and Modern Geometry
2nd elective course
Year Two:
- Fall
MAED 5731 - Problem solving strategies
3rd elective course
- Spring
MAED 5421 - Proability and Statistics
4th elective course
Typical one year full-time study sequence
- Fall
MAED 2021 - Mathematical analysis and its applications I
MAED 5121 - Algebra and its applications I
MAED 5731 - Problem solving strategies
1st elective course
2nd elective course
- Spring
MAED 5211 - Classical and Modern Geometry
MAED 5421 - Proability and Statistics
3rd elective course
4th elective course
Typical yearly course offering
- Fall
Mathematical analysis and its applications I
Algebra and its applications I
Classical and modern geometry
Two Elective course
- Spring
Probablity and Statistics
Problem solving strategies
Two elective courses