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
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[The following notes are from Steven Kleiman’s 2010 Undergraduate Seminar in Computational Commutative Algebra and Algebraic Geometry at MIT.] Another innovation, this spring of 2010, was requiring incremental drafts of the term papers. First, the week after spring break, all ten students handed in a one-page outlines, showing that they done preliminary research of a topic and made a stab at organizing it. The outlines were good, but usually overly ambitious. The next week, the first third of the paper was due. I read each draft, and discussed it individually with its author. The discussions lasted about fifteen minutes and
Read more →[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.] This spring of 2010, I tried something new: in-class critiques. They worked out very well, far better than I ever expected. When the students arrived for class, I gave them each a standard sheet of blank paper. During each student’s lecture, the others then wrote a critique, describing what was done well and what needed improvement, so as to reinforce good practices and suggest opportunities for growth. The critiques are marvelous — friendly and constructive, addressed
Read more →Computational Commutative Algebra and Algebraic Geometry, An Undergraduate Seminar at M.I.T. Course Description Schedule and Assignments Term Paper Resources for Writing Math Here is a subpage about critiques. Here is a subpage about incremental drafts.
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