Linear programming, basic probability and statistical distributions, networks, decision analysis, utility, game theory, inventory analysis, queuing...
Sets and binary operations, commutativity, associativity, distributivity, groups and subgroups, cyclic groups, permutation groups, cosets, Lagrange
An introduction to the theory of groups: cyclic, dihedral, symmetric, alternating; subgroups, quotient groups, homomorphisms, cosets, Lagrange's...
An introduction to the theory of metric spaces with emphasis on the point-set topology of Euclidean n-space, including convergence, compactness,...
Rigorous introduction to ordinary differential equations. Existence, uniqueness, and continuation of solutions. Linear systems with constant...
The Cauchy-Riemann equations, elementary functions, branches of the logarithm and argument, Cauchy's integral theorem and formula, winding number,...
Topological spaces, operations on subsets (e.g. closure), neighbourhoods, bases, subspaces, quotient spaces, product spaces, connectedness,...
Divisibility, primes, congruences, theorems of Fermat and Wilson, Chinese remainder theorem, quadratic reciprocity, some functions of number theory,...
Arithmetic functions, perfect numbers, the M
Enumeration, recursion and generating functions, linear programming, Latin squares, block designs, binary codes, groups of symmetries, orbits, and...
Network problems: shortest path, spanning trees, flow problems, matching, routing. Complexity. Integer programming. Antirequisite(s): ...
Geometry of algebraic curves over the rational, real and complex fields. Classification of affine conics, singularities, intersection numbers,...
A first course in the mathematical theory of games. Topics begin with the modelling of games: extensive and strategic forms; perfect information;...
Antirequisite(s): Prerequisite(s): Permission of the Department. Corequisite(s): Pre-or Corequisite(s): Extra Information: 3 lecture hours, 0.5...
Automorphisms of fields, separable and normal extensions, splitting fields, fundamental theorem of Galois theory, primitive elements, Lagrange's...
Lebesgue measure, measurable sets and functions, approximation theorems, the Lebesgue integral, comparison with the Riemann integral, the basic...
Commutative rings, ring homomorphisms and quotient rings, ideals, rings of fractions, the Chinese remainder theorem; Euclidean domains, principal...
Algebraic numbers, cyclotomic fields, low dimensional Galois cohomology, Brauer groups, quadratic forms, local and global class fields, class field...
Homotopy, fundamental group, Van Kampen's theorem, fundamental theorem of algebra, Jordan curve theorem, singular homology, homotopy invariance, long...