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Mathematical logic and proof, mathematical induction, counting methods, recurrence relations, algorithms and complexity, graph theory and graph algorithms.
An introduction to proofs in advanced mathematics, intended as a transition to upper division courses including MATH 4107, 4150 and 4317.
Overview of integral calculus, multivariable calculus, and differential equations for biological sciences. This course is required for students in School of Biology.
Linear algebra in R^n, standard Euclidean inner product in R^n, general linear spaces, general inner product spaces, least squares, determinants, eigenvalues and eigenvectors, symmetric matrices.
Introduction to numerical algorithms for some basic problems in computational mathematics. Discussion of both implementation issues and error analysis. Crosslisted with CX 4640 (formerly CS 4642).
Fourier series, Fourier integrals, boundary value problems for partial differential equations, eigenvalue problems
A continuation of Dynamics and Bifurcations I
Green's functions and fundamental solutions. Potential, diffusion and wave equations.
Topics from complex function theory, including contour integration and conformal mapping
Differentiation of functions of one real variable, Riemann-Stieltjes integral, the derivative in R^n and integration in R^n
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