2009-2010 - Bowie State University
2009-2010 - Bowie State University
2009-2010 - Bowie State University
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
MATH 420 ABSTRACT ALGEBRA I 3 CREDITS<br />
Prerequisite(s): MATH 305 and MATH 320. This sequence of two courses offers a rigorous introduction to modern abstract algebra. Topics<br />
include groups, rings, fields, integral domains and the homomorphisms that operate between them.<br />
MATH 421 ABSTRACT ALGEBRA II 3 CREDITS<br />
Prerequisite(s): MATH 305 and MATH 320. This sequence of two courses offers a rigorous introduction to modern abstract algebra. Topics<br />
include groups, rings, fields, integral domains and the homomorphisms that operate between them.<br />
MATH 428 ADVANCED LINEAR ALGEBRA 3 CREDITS<br />
Prerequisite(s): MATH 232 and MATH 305. Proceeding from a rigorous perspective, we examine the properties of finite dimensional vector<br />
spaces over arbitrary fields and the linear transformations that operate between them.<br />
MATH 430 ADVANCED CALCULUS I 3 CREDITS<br />
Prerequisite(s): MATH 232 and MATH 305. This course include a rigorous treatment of the elements of point set topology, sequences and<br />
series, continuity, differentiability, Riemann‐Stieltjes integration, function sequences, and, time permitting, some special functions and Fourier<br />
series.<br />
MATH 431 ADVANCED CALCULUS II 3 CREDITS<br />
Prerequisite(s): MATH 232 and MATH 305. This course includes a rigorous treatment of the elements of point set topology, sequences and<br />
series, continuity, differentiability, Riemann‐Stieltjes integration, function sequences, and, time permitting, some special functions and Fourier<br />
series.<br />
MATH 440 INTRO TO OPTIMIZATION THEORY 3 CREDITS<br />
Prerequisite(s): MATH 228 and MATH 232. This course offers an introduction to convex analysis, unconstrained optimization in n‐dimensional<br />
Euclidean space, convex programming and duality. Analysis of two nonlinear algorithms will be studied: Newton's method and the method of<br />
steepest descent.<br />
MATH 450 OVERVIEW OF COLLEGE MATH 3 CREDITS<br />
Prerequisite(s): MATH 226, 228, 240, 305 and 320. This course consists of a sequence of distinct modules, each devoted to the treatment of a<br />
specific fundamental result, principle, or theme in college level mathematics, providing a grand synthesis of the entire undergraduate<br />
mathematics curriculum. Topics include: the Fundamental Theorem of Algebra, the Fundamental Theorem of Arithmetic, the Fundamental<br />
Theorem of Calculus, the Central Limit Theorem, the Principals of Mathematical Induction, the Five Famous Formulas of College Mathematics,<br />
and some famous proofs by contradiction.<br />
MATH 460 NUMERICAL ANALYSIS I 3 CREDITS<br />
Prerequisite(s): MATH 228, MATH 232, MATH 252 and MATH 300.ÿ Elements of the theory and application of numerical analysis using<br />
computers; solution of linear and nonlinear systems of equations; computation of eigenvalues and eigenvectors; basic approximation theory;<br />
interpolation techniques; numerical quadrature; solution of ordinary and partial differential equations. Extensive use of graphing<br />
calculator/computer should be expected.<br />
MATH 461 NUMERICAL ANALYSIS II 3 CREDITS<br />
Prerequisite(s): MATH 228, MATH 232, MATH 252 and MATH 300. Elements of the theory and application of numerical analysis using<br />
computers; solution of linear and nonlinear systems of equations; computation of eigenvalues and eigenvectors; basic approximation theory;<br />
interpolation techniques; numerical quadrature; solution of ordinary and partial differential equations will be discussed. Extensive use of<br />
graphing calculator/computer should be expected.<br />
MATH 470 COMPLEX ANALYSIS 3 CREDITS<br />
Prerequisite(s): MATH 232. This course provides an introduction to the theory and applications of functions of a complex variable. Topics<br />
include: complex numbers, analytic and harmonic functions, elementary functions, Cauchy‐Riemann equations, contour integration, Cauchy‐<br />
Goursat theorem, Cauchy's integral formula, series and the residue calculus.<br />
MATH 485 GENERAL TOPOLOGY 3 CREDITS<br />
Prerequisite(s): MATH 305. This course develops the fundamental concepts of general topology. Topics include topological spaces, continuity,<br />
homeomorphism, identification topology, quotient spaces, separation axioms, countability axioms, compactness, connectedness, local<br />
connectedness, path<br />
components, and metrizable spaces.<br />
MATH 490 SELECTED TOPICS IN MATHEMATICS 3 CREDITS<br />
Prerequisite(s): Written consent of the Instructor. Selected modern developments in pure or applied mathematics are presented.<br />
MATH 491 SELECTED TOPICS IN MATH 3 CREDITS<br />
Prerequisite(s): Consent of the Instructor. These courses focus on the presentation of selected modern developments in pure or applied<br />
mathematics.<br />
MATH 492 SELECTED TOPICS 3 CREDITS<br />
Prerequisite(s): Consent of the Instructor. These courses focus on the presentation of selected modern developments in pure or applied<br />
mathematics.<br />
MATH 493 INTRO OPTIM THEORY 3 CREDITS<br />
Prerequisite(s): Consent of the Instructor. These courses focus on the presentation of selected modern developments in pure or applied<br />
mathematics.<br />
MATH 494 SELECTED TOPICS IN MATH 3 CREDITS<br />
Prerequisite(s): Written consent of the Instructor. Selected modern developments in pure or applied mathematics are presented.<br />
MATH 495 ADVANCED PROB SEMINAR 1 CREDIT<br />
Prerequisite(s): MATH 228 or Consent of the Instructor. Solving problems from previous Putnam Competitions is the principal activity of these<br />
courses. The problems are drawn from the entire spectrum of mathematical inquiry including Algebra, Analysis, Geometry, Number Theory,<br />
Logic, Combinatorics, and Probability. Enrollees are expected to participate as members or alternate members of the BSU Team in the William<br />
Lowell Putnam Competition, held annually in December.<br />
<strong>Bowie</strong> <strong>State</strong> <strong>University</strong> 369