Reading List
1) M. E. Keating, A First Course in Module Theory, Imperial College Press (1998)
Covers almost all material of the course. Out of print but many libraries should have it and second hand copies readily available.
2) Joseph Gallian, Contemporary Abstract Algebra (9th edition, CENGAGE 2016) (Excellent text covering material on groups, rings and fields).
3) B. Hartley, T. O. Hawkes, Chapman and Hall, Rings, Modules and Linear Algebra. (Out of print, but many libraries should have it. Relatively concise and covers all the material in the course).
4) Neils Lauritzen, Concrete Abstract Algebra, CUP (2003) (Excellent on groups, rings and fields, and covers topics in the Number Theory course also. Does not cover material on modules).
5) Michael Artin, Algebra (2nd ed. Pearson, (2010). (Excellent but highly abstract text covering everything in this course and much more besides).