theundergraduateschoo ls - Wake Forest University

345, 346. Elementary Theory of Numbers I, II. (3h, 3h) Properties of integers, including congruences,
primitive roots, quadratic residues, perfect numbers, Pythagorean triples, sums of
squares, continued fractions, Fermat’s Last Theorem, and the Prime Number Theorem.
347. Graph Theory. (3h) Paths, circuits, trees, planar graphs, spanning trees, graph coloring,
perfect graphs, Ramsey theory, directed graphs, enumeration of graphs, and graph theoretic
algorithms.
348, 349. Combinatorial Analysis I, II. (3h, 3h) Enumeration techniques, generating functions,
recurrence formulas, the principle of inclusion and exclusion, Polya theory, graph theory, combinatorial
algorithms, partially ordered sets, designs, Ramsey theory, symmetric functions, and
Schur functions.
352. Partial Differential Equations. (3h) Detailed study of partial differential equations, including
the heat, wave, and Laplace equations, using methods such as separation of variables, characteristics,
Green’s functions, and the maximum principle. P—MTH 113 and 251.
353. Mathematical Models. (3h) Development and application of probabilistic and deterministic
models. Emphasis given to constructing models which represent systems in the social, behavioral,
and management sciences.
355. Introduction to Numerical Methods. (3h) Numerical computations on modern computer architectures;
floating point arithmetic and round-off error. Programming in a scientific/engineering
language such as MATLAB, C, or FORTRAN. Algorithms and computer techniques for the
solution of problems such as roots of functions, approximation, integration, systems of linear
equations and least squares methods. Credit not allowed for both 355 and CSC 355.
P—MTH 112, MTH 121 or 302, and CSC 111.
357, 358. Mathematical Statistics I, II. (3h, 3h) Probability distributions, mathematical expectation,
sampling distributions, estimation and testing of hypotheses, regression, correlation,
and analysis of variance. MTH 357 prepares students for Actuarial Exam #1. C—MTH 112 or
P—POI.
359. Multivariate Statistics. (3h) Multivariate and generalized linear methods for classification,
modeling, discrimination, and analysis. P—MTH 112, MTH 121 or 302, and MTH 256.
361. Selected Topics. (1.5h, 2.5h, or 3h) Topics in mathematics not considered in regular courses
or which continue study begun in regular courses. Content varies.
381. Individual Study. (1.5h, 2.5h, or 3h) Independent study directed by a faculty adviser. By
prearrangement.
391. Senior Seminar Preparation. (1h) Independent study or research directed by a faculty adviser
by prearrangement with the adviser.
392. Senior Seminar Presentation. (1h) Preparation of a paper, followed by a one-hour oral presentation
based upon work in MTH 391.
M A T H E M A T I C S 178