This Minor Core course is designed for students from disciplines such as Chemistry, Physics, and related sciences who wish to build a strong foundation in abstract mathematical thinking.
The course introduces essential algebraic structures and their applications, aiming to develop logical reasoning and structural understanding relevant across scientific fields; Groups and subgroups, cyclic groups, normal subgroups, and quotient groups; Group homomorphisms, properties and fundamental theorem of homomorphisms, isomorphisms; Rings, subrings, ideals, quotient rings, integral domains, division rings, and fields; Vector spaces, subspaces, linear combinations, span, linear independence, basis and dimension, and linear transformations.
This course serves as a mathematical bridge for students of diverse backgrounds to appreciate the structural beauty and utility of algebra in their own disciplines.
- Teacher: gete umbrey