Contact
cdoneill «at» sdsu.edu
GMCS Building, Room 570
Math & Stats Department
San Diego State University
5500 Campanile Dr
San Diego, CA 92182
U.S.A.
Math 596: Semigroups and Combinatorics (Spring 2019)
Lectures: TTh 12:30pm - 1:45pm, GMCS 325
Final exam: Thursday, May 16th, 10:30am - 12:30pm
Textbooks: Numerical Semigroups and Applications, by Assi and Garcia-Sanchez (optional)
Computing the Continuous Discretely, by Beck and Robins (optional)
As described in the course catalog, this course covers numerical and affine semigroups from geometric, combinatorial, and algebraic viewpoints, lattice point enumeration, generating functions, eventually quasipolynomial functions, and related topics in discrete geometry. We will also discuss computation methods and effective use of software in research.
Announcements
January 10, 2019: Course webpage has been created.
January 10, 2019: A syllabus and lecture schedule have been uploaded.
January 23, 2019: The lecture schedule has been updated.
January 23, 2019: A description of the reading project has been uploaded.
January 26, 2019: The description of the reading project has been updated.
February 14, 2019: The Tuesday office hour slot will continue for the remainder of the semester.
February 28, 2019: Homework Set 5 has been updated.
March 15, 2019: Homework Set 7 has been updated.
March 15, 2019: The description of the reading project has been updated to include additional project ideas.
Resources
The course syllabus.
A tentative day-by-day schedule (subject to change without notice).
A description of the reading project.
A flyer advertising the course.
Homework
There will be one homework assignment given each week, usually assigned on Thursday and due in class the following Tuesday. There will also be one preliminary assignment given each week, usually assigned on Tuesday after class and due in class on Thursday.
I will post links to homework assignments here. If you have questions about course material, do not hesistate to ask me in/before/after class, stop by my office hours, or email me.
Preliminary Assignment 1, due Thursday, January 31, 2019.
Homework Assignment 1 (and an optional LaTeX template), due Tuesday, Februry 5, 2019.
Preliminary Assignment 2, due Thursday, February 7, 2019.
Homework Assignment 2 (and an optional LaTeX template), due Tuesday, Februry 12, 2019.
Preliminary Assignment 3, due Thursday, February 14, 2019.
Homework Assignment 3 (and an optional LaTeX template), due Tuesday, Februry 19, 2019.
Preliminary Assignment 4, due Thursday, February 21, 2019.
Homework Assignment 4 (no problems due).
Preliminary Assignment 5, due Thursday, February 28, 2019.
Homework Assignment 5 (and an optional LaTeX template), due Tuesday, March 5, 2019.
Preliminary Assignment 6, due Thursday, March 7, 2019.
Homework Assignment 6 (and an optional LaTeX template), due Tuesday, March 12, 2019.
Preliminary Assignment 7, due Thursday, March 14, 2019.
Homework Assignment 7 (and an optional LaTeX template), due Tuesday, March 19, 2019.
Preliminary Assignment 8, due Thursday, March 21, 2019.
Homework Assignment 8 (and an optional LaTeX template), due Tuesday, March 26, 2019.
Week 9: Midterm Exam (no homework assignment).
Preliminary Assignment 10, due Thursday, April 11, 2019.
Homework Assignment 10 (and an optional LaTeX template), due Tuesday, April 16, 2019.
Preliminary Assignment 11, due Thursday, April 18, 2019.
Homework Assignment 11 (and an optional LaTeX template), due Tuesday, April 23, 2019.
Preliminary Assignment 12, due Thursday, April 25, 2019.
Homework Assignment 12 (and an optional LaTeX template), due Tuesday, April 30, 2019.
Preliminary Assignment 13, due Thursday, May 2, 2019.
Homework Assignment 13 (and an optional LaTeX template), due Tuesday, May 9, 2019.