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lecture 14-homomorphism theorem in action, products of groups
lecture 13- quotient groups, homomorphism theorem
lecture 16-Sign representation of S_n.
hw4- Homomorphisms continued
hw5- maps, bijections, subgroups
lecture 12-Right and left cosets, Lagrange's theorem.
lecture 15-Euler's theorem, canonical representation of S_n on R^n.
lecture 10-every permutation is a "unique" product of disjoint cycles, group actions
lecture 2- greatest common divisors
lecture 5- definition of a group
lecture 4- equivalence relations, partitions, Z/nZ
lecture 1-Well-order and induction. Division algorithm in Z.
lecture 6-homomorphism, isomorphism, group action
lecture 7-subgroups and properties of homomorphisms, order of a group, of a group element
lecture 9-permutation groups, cycles, disjoint permutations commute.
lecture 8-subgroup generated by a subset, dihedral group D2n
lecture 3- factorization into primes, infinity of primes
hw2- greatest common divisors
Hw1- division algorithm in Z
cyclic subgroups and subgroups generated by a set
exam 2 sol
extra credit 2
exam 3 sol
extra credit 1
extra credit 2 sol
MATH 241 - Calculus III
MATH 415 - Applied Linear Algebra
MATH 231 - Calculus II
MATH 220 - Calculus
MATH 125 - Elementary Linear Algebra
MATH 416 - Abstract Linear Algebra
MATH 286 - Intro To Differential Eq Plus
MATH 210 - Theory Of Interest
MATH 285 - Intro Differential Equations
MATH 221 - Calculus I