Recent Syllabi
Recent Syllabi
Typed lecture notes from Fall 2025 (Last updated: Oct. 20)
August 25th [Introduction to Course; Proofs, Sets, Relations, Functions, Number Theory]
August 27th [Modular Arithmetic, Integers mod m, Introduction to groups]
September 3rd [Dihedral Group, Symmetry Group, Examples of Groups]
September 8th [Examples of groups (continued) and basic properties of groups]
September 10th [Basic Properties of Groups, Subgroups, Center of a group]
September 15th [Subgroups, Cyclic Groups]
September 17th [Cyclic Groups, continued]
September 22nd [Fundamental Theorem of Cyclic Groups]
September 29th [Group Homomorphisms]
October 1st [Group Isomorphisms, Introduction to Cosets]
October 6 [Cosets and Lagrange's Theorem]
October 8 [Normal Subgroups and Quotient Groups]
October 13 [1st isomorphism theorem, S_n revisited]
October 15 [Introduction to Rings]
October 20 [More on Rings]
October 22 [Polynomial Rings]