Your Instructor:
- Dr.
J. Maurice Rojas
- E-mail: rojas@math.tamu.edu
- Office: Milner 206
- URLs: http://www.math.tamu.edu/~rojas
- Office Phone#: 845-2083
- E-mail: rojas@math.tamu.edu
Textbook:
-
None! But there will be numerous handouts of book excerpts and
research papers in class...
Brief Course Description:
- Contents: (3 credits)
- This is an introductory course in algorithmic algebraic geometry, focussing on the theory behind modern algorithms for solving systems of polynomial (and analytic) equations. This course has a broad view of the subject and students from outside mathematics (as well as motivated undergrads) are welcome. As much as possible, we will view equation solving as something which takes place over many fields simulataneously. This is meant mathematically (complex numbers, real numbers, p-adic numbers,...) as well as literally (the fields of biochemistry, economics, signal processing,...).
- Prerequisites:
- Math 653 (first semester graduate algebra) or consent of instructor. In particular, commutative algebra is not a prerequisite: the necessary algebra will be developed as needed. A sincere interest in algorithmic mathematics and an open mind are also valuable. Motivated upper division students in mathematics, computer science, and engineering will also find the material quite accessible.
- Lecture Format:
- I will leave the last 2 weeks open for your final project presentations.
Schedule of Classes:
- TuTh 11:10-12:25, Room: Milner 313
Grading Policies:
- PLEASE NOTE THAT UNDERGRADUATES RECEIVE HONOR'S CREDIT FOR THIS COURSE.
There will be no final and no in-class exams. Bi-weekly homeworks will count toward 50% of your grade. Class participation, and a final project (including a 45 minute oral presentation), count towards the final 50%. PRESENTATIONS ON APPLICATIONS OF POLYNOMIAL SYSTEM SOLVING OUTSIDE OF MATHEMATICS ARE STRONGLY ENCOURAGED!
Office Hours:
Milner 206, by appointment.
Policy
on Academic Dishonesty:
- Collaboration on difficult homeworks and/or projects is encouraged. However, YOU MUST SUBMIT YOUR OWN WRITE-UP ON HOMEWORKS, and you must always acknowledge your collaborators. Also, even if you do work with a group, you MUST actively participate in any presentations done by your group.
Makeup
Work:
- ...will be given ONLY in case of an absence authorized under University Regulations (http://student-rules.tamu.edu). A note from your doctor or academic advisor is necessary. If you know in advance that you will miss an oral presentation then please contact me beforehand, via e-mail. In any event, you MUST notify me by the end of the next working day or forfeit your right to a make-up.
Students
With Disabilities:
- Every effort will be made to accomodate your specific needs --- just discuss the matter with me at the beginning of the semester. Please contact the Office of Services for Students with Disabilities (845-1637) if you need any additional assistance.