Description:
Group theory: Sylow theory, permutation groups, Jordon-Hoelder theory, Abelian groups, free groups. Ring theory: algebra of ideals, unique factorization, polynomial rings, finitely generated modules over PIDs.
MTH103B: College Algebra II
Duty: Teaching and Recitation
Description:
Continuation of MTH 103A. Topics focus on exponential, logarithmic, polynomial, and rational functions.
MTH310: Abstract Algebra I and Number Theory
Description:
Structure of the integers, congruences, rings, ring homomorphisms, ideals, quotient rings. A writing course with an emphasis on proofs.
MTH411: Abstract Algebra II
Description:
Continuation of MTH 310. Permutation groups, groups of transformations, normal subgroups, homomorphism theorems, modules. Principal ideal rings, unique factorization domains, noncommutative rings, rings of fractions, ideals.
MTH124: Survey of Calculus I
Duty: Teaching and Recitation
Description:
Study of limits, continuous functions, derivatives, integrals and their applications.
Description:
Modules and vector spaces, projectives modules, tensor algebra. Fields and Galois groups, algebraic and transcendental numbers, non-commutative rings. The Jacobson radical, the structure of semisimple rings with the descending chain condition.
Description:
Group theory: Sylow theory, permutation groups, Jordon-Hoelder theory, Abelian groups, free groups. Ring theory: algebra of ideals, unique factorization, polynomial rings, finitely generated modules over PIDs.
Duty: Teaching and Recitation
Description:
Applications of the integral and methods of integration. Improper integrals. Polar coordinates and parametric curves. Sequences and series. Power series.
MTH102: Quantitative Literacy II
Duty: Teaching and Recitation
Description:
Quantitative literacy including applications to finance, economics, and politics.
MTH102: Quantitative Literacy II
Duty: Teaching and Recitation
Description:
Quantitative literacy including applications to finance, economics, and politics.
MTH234: Multivariable Calculus
Duty: Teaching and Recitation
Description:
Vectors in space. Functions of several variables and partial differentiation. Multiple integrals. Line and surface integrals. Green's and Stokes's theorems.