## Mathematics 504: Abstract Algebra
- Mathematics 504:
- Ch. O: Set constructions, First Isomorphism Theorem, proof techniques, ordered sets, monoids -- codes and free monoids, dynamical systems, semilattices, relations
- Ch. I: Groups and quasigroups, monoid actions, symmetry, graphs
- Mathematics 505:
- Ch. II: Linear algebra, rings, modules, fields, commutative algebra
- Ch. III: Categories and lattices, diagonalization, Tarski Fixed Point Theorem, Cantor-Schröder-Bernstein Theorem, limits, split extensions, presentations, Boolean rings and algebras, Galois theory, tensor products, etc.
## AssignmentsClick here for practice final in Portable Document Format 12/5 for 12/8: Read pp. 104-108, do Ch.I, EXX 4.4A, 4.4B, 4.4H, 4.4I. 12/1 for 12/5: Read pp. 101-103, do Ch.I, EXX 4.3B, 4.3D, 4.3H. Third graded homework (due 12/1):
Three questions from Ch.I, EXX 2.4I, 2.5D, 3H, 3.1F, 3.2L.
11/17 for 11/19: Read pp. 82-83, do Ch.I, EXX 3.3A, 3.3B, 3.3C, 3.3E. 11/14 for 11/17: Read pp. 78-81, do Ch.I, EXX 3.2A, 3.2D, 3.2E, 3.2J, 3.2K. 11/12 for 11/14: Read pp. 75-77, do Ch.I, EXX 3.1A, 3.1B, 3.1C, 3.1L. 11/10 for 11/12: Read pp. 72-73, do Ch.I, EXX 3B, 3D, 3J, 3L. 11/7 for 11/10: Read pp. 68-71, do Ch.I, EXX 2.5A, 2.5C, 2.5E, 2.5G. 11/3 for 11/5: Read pp. 65-67, do Ch.I, EXX 2.4A, 2.4C, 2.4H, 2.4K. Second graded homework (due 11/3):
Three questions from Ch.I, EXX 1.5B, 2.1F, 2.1K, 2.2K, 2.3C.
10/27 for 10/29: Read pp. 63-64, do Ch.I, EXX 2.3A, 2.3B, 2.3F. 10/24 for 10/27: Read pp. 59-62, do Ch.I, EXX 2.2C, 2.2E, 2.2H, 2.2L. 10/22 for 10/24: Read pp. 55-58, do Ch.I, EXX 2.1A, 2.1E, 2.1G. 10/20 for 10/22: Read pp. 52-54, do Ch.I, EXX 2A, 2D, 2E. 10/17 for 10/20: Read pp. 45-48, do Ch.I, EXX 1.4A, 1.4B, 1.4E. 10/15 for 10/20: Read pp. 49-51, do Ch.I, EXX 1.5A, 1.5E, 1.5G, 1.5H. Click here for practice mid-term in Portable Document Format 10/6 for 10/8: Read pp. 41-43, do Ch.I, EXX 1.3C, 1.3G. 10/3 for 10/6: Read pp. 34-35, do Ch.I, EXX 1.1C, 1.1E. 10/1 for 10/3: Read pp. 31-32, do Ch.I, EXX 1K, 1L, 1T, 1U. 9/26 for 9/29: Read pp. 29-31, do Ch.I, EXX 1A, 1B, 1C, 1D. Try EX 1G. Also Ch. O, EX 4.4H First graded homework (due 9/26):
Three questions from Ch.O, EXX 4N, 4Q 4.1D, 4.1H, 4.2B.
9/19 for 9/22: Read p. 23, do Ch.O, EXX 4.2D. 9/17 for 9/19: Read pp. 20-22, do Ch.O, EXX 4.1A, 4.1C, 4.1J. 9/15 for 9/17: Read p. 19, do Ch.O, EXX 4M (note the correction for line 20+5), 4P, 4R. 9/10 for 9/12: Read pp. 17-19, do Ch.O, EXX 4B, 4D, 4G. Zero-th graded homework (due 9/10):
Three questions from Ch.O, EXX 3.1D, 3.1G, 3.2H, 3.3D, 3.4A.
9/8 for 9/12: Read pp. 15-16, do Ch.O, EXX 3.5C, 3.5D, 3.5E. 9/5 for 9/8: Read pp. 12-14, do Ch.O, EXX 3.4E, 3.4G. 9/3 for 9/5: Read pp. 10-12, do Ch.O, EXX 3.3A, 3.3C. 8/29 for 9/3: Read pp. 7-9, do Ch.O, EXX 3.2C, 3.2G. 8/27 for 8/29: Read pp. 4-6, do Ch.O, EXX 3.1C, 3.1E. 8/25 for 8/27: Read pp. 1-3, do Ch.O, EXX 3. |