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 3 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

  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
• Spring
  MAED 5211 - Classical and Modern Geometry
  MAED 5421 -  Proability and Statistics
  2nd elective course
  3rd elective course
• Summer
  4th elective course

  Typical yearly course offering

• Fall
  Mathematical analysis and its applications I
  Algebra and its applications I
  Classical and modern geometry
  Elective course
  Project course
• Spring
  Probablity and Statistics
  Problem solving strategies
  Two elective courses
  Project course
• Summer
  Project course