MIT OCW Archived CoursesMIT OCW Archived Courses: retired courses unpublished from the liveOCW website.https://hdl.handle.net/1721.1/339712020-02-18T07:14:01Z2020-02-18T07:14:01Z18.312 Algebraic Combinatorics, Spring 2009Musiker, Gregghttps://hdl.handle.net/1721.1/1233212020-01-02T07:36:31Z2009-06-01T00:00:00Z18.312 Algebraic Combinatorics, Spring 2009
Musiker, Gregg
This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected, but assumes a familiarity with linear algebra and finite groups. Topics were chosen to show the beauty and power of techniques in algebraic combinatorics. Rigorous mathematical proofs are expected.
2009-06-01T00:00:00Z24.118 Paradox & Infinity, Spring 2013Rayo, AgustínEvans, Owain R.https://hdl.handle.net/1721.1/1232972019-12-17T03:33:28Z2013-06-01T00:00:00Z24.118 Paradox & Infinity, Spring 2013
Rayo, Agustín; Evans, Owain R.
This course explores different kinds of infinity; the paradoxes of set theory; the reduction of arithmetic to logic; formal systems; paradoxes involving the concept of truth; Gödel’s incompleteness theorems; the nonformalizable nature of mathematical truth; and Turing machines.
2013-06-01T00:00:00Z18.783 Elliptic Curves, Spring 2017Sutherland, Andrewhttps://hdl.handle.net/1721.1/1229622019-11-22T03:32:04Z2017-06-01T00:00:00Z18.783 Elliptic Curves, Spring 2017
Sutherland, Andrew
This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.
2017-06-01T00:00:00Z18.04 Complex Variables with Applications, Fall 2003Toomre, Alarhttps://hdl.handle.net/1721.1/1229612019-11-19T03:02:42Z2003-12-01T00:00:00Z18.04 Complex Variables with Applications, Fall 2003
Toomre, Alar
This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, potential theory in two dimensions, Fourier analysis and Laplace transforms.
2003-12-01T00:00:00Z