
 Department of Mathematics 
  Introduction to group theory, subgroups, Lagrange's theorem, factor groups, permutation groups, group homomorphisms, isomorphism theorems, introduction to ring theory, ideals, ring homomorphisms, divisibility, polynomial rings, field of rational functions. 
  Sets and counting, probability and relative frequency, conditional probability, Bayes' theorem, independence, discrete and continuous random variables, binomial, Poisson and normal distributions, functions of random variables, law of large numbers, generating functions, characteristic functions, moments, compound distributions, central limit theorems, Markov chains and their limiting probabilities. 
  Projective spaces and homogeneous coordinates, subspaces, the dual space, Desargues' theorem, double ratio, collineation, projections and correlations, polarity, passage to affine and metric spaces, plane algebraic curves and their singular points, conics and cubics. 
 www.boun.edu.tr /undergraduate/arts_sciences/mathematics.html (2184 words) 
