Abstract Algebra II

4 credits

Second course in a rigorous three-quarter introduction to the methods and basic structures of higher algebra. Topics include rings (especially polynomial rings) and ideals, unique factorization, fields; linear algebra from perspective of linear transformations on vector spaces, including inner product spaces, determinants, diagonalization. (Students may not receive credit for both MATH 100B and MATH 103B.) Prerequisites: MATH 100A or consent of instructor.