2013 – 2014 - Barton College

206 Arts and Sciences: Science, Mathematics, and PsychologyMTH 370. Calculus III, Multivariate Calculus. 4.An advanced study of differential and integral calculus in n-space. Includes a study of vectorcalculus including line integrals, Green’s Theorem, and Stoke’s Theorem. Fall, even years.*Prerequisite: MTH 270.MTH 390. Mathematical Statistics. 3.A foundation in statistical theory providing an indication of the relevance and importance of thetheory in solving practical problems in the real world. Continuous and discrete data taken fromboth samples and populations are considered. Various distributions including binomial, normal,poisson, geometric, and the multinomial are studied along with their applications. Fall, odd years.*Prerequisite: MTH 270.MTH 410. Elementary Theory of Numbers. 3.Topics from elementary number theory; properties of integers, Diophantine equations,congruences, and quadratic residues. Fall, odd years.*Prerequisite: MTH 260.MTH 420. Ordinary Differential Equations. 3.A study of solution techniques and applications of ordinary equations including first-orderequations, linear differential equations, series solutions, and basic concepts of numerical andgraphical techniques applied to equations and systems. Spring, odd years.*Prerequisite: MTH 270.MTH 430. Introduction to Modern Algebra. 3.An exploration about algebraic structures. Detailed study of groups and an introduction to rings.Fall, odd years.*Prerequisite: MTH 260.MTH 480. Individual Problems in Mathematics. 3.Individual research chosen by the student with guidance by a faculty member, subject to approvalby the Chair of the Department. Results to be presented at a seminar of the department (staffand interested students).Note: Also offered as MTH 481 for one semester hour, and as MTH 482 for two semester hours.* On demand only.