| Date | Section/Topic | Homework |
| Thursday 1/21 | Non-associative algebras: An Overview | http://www-math.cudenver.edu/~wcherowi/courses/finflds.html |
| Tuesday 1/26 | Finite Fields | Give an irreducible polynomial of degree 4 over GF(2).Construct the field of 16 elements. |
| Thursday 1/28 | Semifields | Find two elements in System V that do not commute. Find three elements in System V that do not associate. |
| Tuesday 2/2 | Automorphisms of the semifield given by System V. Review of automorphisms of a field | |
| Thursday 2/4 | Pre-semifields. Nuclei | Show that each nuclei is a field. |
| Tuesday 2/9 | Knuth’s paper | |
| Thursday 2/11 | Knuth’s paper | |
| Tuesday 2/16 | Orders of semifields | Prove: The order of a proper semifield is greater than or equal to 16. |
| Thursday 2/18 | Finite Affine and Projective Planes | |
| Tuesday 2/23 | Coordinatization. | Coordinatize the Fano plane. |
| Thursday 2/25 | Ternary Rings | |
| Tuesday 3/2 | Isotopisms and autotopisms of semifields | |
| Thursday 3/4 | Primitive elements | Compute the matrix representation of System V. |
| Tuesday 3/9 | Matrix representations | Compute the matrix representation of System W. |
| Thursday 3/11 | Wene’s paper on the multiplicative structure of division algebras | |
| March 15-19 | Spring Break | |
| Tuesday 3/23 | Semifields of order 16 are left and right primitive | Find a primitive element in System V |
| Thursday 3/25 | Semifields of order 32 are left and right primitive | Find a primitive element in the binary semifield with 32 elements |
| Tuesday 3/30 | Semifields three-dimensional over a field are right primitive | |
| Thursday 4/1 | Knuth binary semifields | |
| Tuesday 4/6 | Automorphisms of Knuth binary semifields | |
| Thursday 4/8 | Open problems on semifields (Wene’s paper) | |
| Tuesday 4/13 | Knuth Cubical Array | |
| Thursday 4/15 | Semifield Planes | |
| Tuesday 4/20 | Linlin’s presentation | |
| Thursday 4/22 | Collineations of Semifield Planes | |
| Tuesday 4/27 | The Autotopism Group of a Semifield Plane | |
| Thursday 4/29 | Isotopisms and the Theorem of Albert | |
| Tuesday 5/4 | Examples of Semifields | |
| Thursday 5/6 | Examples of Semifields | |
| Tuesday 5/11 | Final Exam |