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Macaulay2 online dating

Homework assignments will be posted above at least a week before they are due.

Each problem set will have a few problems (usually 5-6) that will be handed in, of these 2-3 will be graded.

All numbers refer to the fourth edition of Cox, Little and O'Shea. The project will require students to independently study a class-related topic.

The results of your work and the understanding that you have gained will be summarized in a short paper.

Homework should be handed in on paper in class (this is simpler for the grader).

If you are not able to attend class on a given day alternate submission arrangements are possible (such as via email); assignments may also be slid under my office door.

Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra (Fourth Edition) by David Cox, John Little, and Donal O'Shea.

Note that for UC Berkeley students the textbook can be accessed in electronic form on Springer Link via the UCB Library site, link above.

In a 2006 interview, Andrei Okounkov cited Macaulay2 along with Te X as a successful open source project used in mathematics and suggested that funding agencies look into and learn from these examples.We will explore the geometry of varieties both computationally and abstractly using the algebraic structure of polynomial rings.A major component of this study will be the theory of Gröbner basis, this theory will form the basis for our computational approaches to geometric problems.Some things to keep in mind when doing your homework: Per University policy an "incomplete" grade will be granted only in cases where a student has completed more than 75% of the term work, and is receiving a passing grade on this work, but is unable to complete the course due to documented circumstances beyond their control.Macaulay2 is a free computer algebra system developed by Daniel Grayson (UIUC) and Michael Stillman (Cornell) for computation in commutative algebra and algebraic geometry.

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At the end of the course students will be able to answer such questions as: Does a given system of polynomials have finitely many solutions? If there are infinitely many solutions, how can can these be described and understood?

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