PREREQUISITES
This course highlights the usefulness of game theoretical approaches in solving problems in the natural sciences and economics. Basic ideas of game...
Introductory geometry of curves/surfaces: directional/covariant derivative; differential forms; Frenet formulas; congruent curves; surfaces in R3:...
A historical perspective on mathematical ideas focussing on a selection of important and accessible theorems. A project is required. ...
Elementary mathematical material will be used to explore different ways of discovering results and mastering concepts.
Interest accumulation factors, annuities, amortization, sinking funds, bonds, yield rates, capital budgeting, contingent payments. Students will work...
Measurement of mortality, life annuities, life insurance, premiums, reserves, cash values, population theory, multi-life functions, multiple-decrement...
Integers and rationals from the natural numbers; completing the rationals to the reals; consequences of completeness for sequences and calculus;...
In-depth follow-up to high school geometry: striking new results/connections; analysis/proof of new/familiar results from various perspectives;...
An important topic in mathematics or statistics not covered in any other courses. PREREQUISITE
For a complete description, see MATH 391*. PREREQUISITE
An introduction to graph theory, one of the central disciplines of discrete mathematics. This course, MATH 402* and MATH 434* constitute a survey of...
An introduction to two subjects which together with MATH 401* provide an entry into discrete mathematics and its applications. Among the enumeration...
Similarity and canonical forms. Non-negative matrices: Perron-Frobenius theorem, applications to probability (Markov chains). Matrix differential...
Construction and properties of finite fields. Polynomials, vector spaces, block codes over finite fields. Hamming distance and other code parameters....
Subject matter will vary from year to year. Offered in 2006-2007 and in alternate years. PREREQUISITE Permission of the Department.
Subject matter will vary from year to year. PREREQUISITE
Algorithms for solving systems of nonlinear equations; applications in geometry, algebra, and other areas; Gr
Time estimates for arithmetic and elementary number theory algorithms
An exploration of the modern theory of Fourier series: Abel and Cesaro summability; Dirichlet