Computational algebra and algebraic geometry
[The following notes are about Steven Kleiman’s 2010 Undergraduate Seminar in Computational Commutative Algebra and Algebraic Geometry, in which the students give the lectures. The main page for this course is here.]Prerequisites: {18.06, 18,700, or 18.701} plus {18.703 or 18.702}
Descriptions of these courses can be found here.
Text Book: “Ideals, Varieties, and Algorithms” by Cox, Little, and O’Shea, UTM Springer, third edition, 2007. Google books has most of the book online. You can find it HERE.
Grades:
– Based equally on classwork, homework, and the term paper; no exams or final.
– Written work will be graded in part on the quality of the writing.
– A short written critique of each lecture is due at the end of that lecture.
– The term paper is to be ten-pages long in TeX: a full outline is due by Tuesday, 30 March; the first third is due by Tuesday, 6 April; the first two-thirds is due by Tuesday, 13 April; a complete first draft, by Thursday, 22 April; and a revised final draft, by Thursday, 13 May.
Homework: Problems with numbers between braces are to be written up formally in TeX and passed in by Thursday of the week after they are assigned; they may be emailed either in TeX form or dvi form directly to the TA.
