Mathematics (18) - Archived
http://hdl.handle.net/1721.1/33995
Mathematics (18)2015-05-14T22:52:52Z18.175 Theory of Probability, Fall 2008
http://hdl.handle.net/1721.1/96865
18.175 Theory of Probability, Fall 2008
Panchenko, Dmitry
This course covers the laws of large numbers and central limit theorems for sums of independent random variables. It also analyzes topics such as the conditioning and martingales, the Brownian motion and the elements of diffusion theory.
2008-12-01T00:00:00Z18.314 Combinatorial Analysis, Fall 2005
http://hdl.handle.net/1721.1/96864
18.314 Combinatorial Analysis, Fall 2005
Postnikov, Alexander
This course analyzes combinatorial problems and methods for their solution. Prior experience with abstraction and proofs is helpful. Topics include: Enumeration, generating functions, recurrence relations, construction of bijections, introduction to graph theory, network algorithms and, extremal combinatorics.
2005-12-01T00:00:00Z18.05 Introduction to Probability and Statistics, Spring 2005
http://hdl.handle.net/1721.1/96772
18.05 Introduction to Probability and Statistics, Spring 2005
Panchenko, Dmitry
This course provides an elementary introduction to probability and statistics with applications. Topics include: basic probability models; combinatorics; random variables; discrete and continuous probability distributions; statistical estimation and testing; confidence intervals; and an introduction to linear regression.
2005-06-01T00:00:00Z18.700 Linear Algebra, Fall 2005
http://hdl.handle.net/1721.1/91562
18.700 Linear Algebra, Fall 2005
Ciubotaru, Dan
This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices. Compared with Linear Algebra (18.06), more emphasis is placed on theory and proofs.
2005-12-01T00:00:00Z