Page 412 - BSU Undergraduate-Catalog-2017-2019

MATH 431 ADVANCED CALCULUS II 3 CREDITS
Prerequisite(s): MATH 430. This course includes a rigorous treatment of the elements of point set topology, sequences and series, continuity,
differentiability, Riemann-Stieltjes integration, function sequences, and, time permitting, some special functions and Fourier series.

MATH 440 INTRO TO OPTIMIZATION THEORY 3 CREDITS
Prerequisite(s): MATH 228 and MATH 232. This course offers an introduction to convex analysis, unconstrained optimization in n-dimensional
Euclidean space, convex programming and duality. Analysis of two nonlinear algorithms will be studied: Newton's method and the method of
steepest descent.
MATH 450 OVERVIEW OF COLLEGE MATH 3 CREDITS
Prerequisite(s): MATH 155 and MATH 226 and MATH 228 and MATH 305 and MATH 320. This course consists of a sequence of distinct
modules, each devoted to the treatment of a specific fundamental result, principle, or theme in college level mathematics, providing a grand
synthesis of the entire undergraduate mathematics curriculum. Topics include: the Fundamental Theorem of Algebra, the Fundamental
Theorem of Arithmetic, the Fundamental Theorem of Calculus, the Central Limit Theorem, the PRINCIPLES of Mathematical Induction, the Five
Famous Formulas of College Mathematics, and some famous proofs by contradiction.

MATH 460 NUMERICAL ANALYSIS I 3 CREDITS
Prerequisite(s): MATH 228 and MATH 232 and MATH 252 and MATH 300. Elements of the theory and application of numerical analysis using
computers; solution of linear and nonlinear systems of equations; computation of eigenvalues and eigenvectors; basic approximation theory;
interpolation techniques; numerical quadrature; solution of ordinary and partial differential equations. Extensive use of graphing
calculator/computer should be expected.
MATH 461 NUMERICAL ANALYSIS II 3 CREDITS
Prerequisite(s): MATH 228 and MATH 232 and MATH 252 and MATH 300. Elements of the theory and application of numerical analysis using
computers; solution of linear and nonlinear systems of equations; computation of eigenvalues and eigenvectors; basic approximation theory;
interpolation techniques; numerical quadrature; solution of ordinary and partial differential equations will be discussed. Extensive use of
graphing calculator/computer should be expected.
MATH 470 COMPLEX ANALYSIS 3 CREDITS
Prerequisite(s): MATH 232. This course provides an introduction to the theory and applications of functions of a complex variable. Topics
include: complex numbers, analytic and harmonic functions, elementary functions, Cauchy-Riemann equations, contour integration, Cauchy-
Goursat theorem, Cauchy's integral formula, series and the residue calculus.

MATH 480 ENGINEERING PROJECT MANAGEMENT 3 CREDITS
Prerequisite(s): ECON 211/MATH 380 and MATH 240. This course introduces the student to the basic concept of management and the
management cycle in an engineering organization, and the methods used in project planning and controlling. Topics include project
organizational structure and project management process, project planning, design and control, and analytical methods, project initiation,
estimating, budgeting, developing work plans, scheduling, tracking work, design coordination, construction coordination, quality management,
and managing teams and close out.

MATH 485 GENERAL TOPOLOGY 3 CREDITS
Prerequisite(s): MATH 305. This course develops the fundamental concepts of general topology. Topics include topological spaces, continuity,
homeomorphism, identification topology, quotient spaces, separation axioms, countability axioms, compactness, connectedness, local
connectedness, path components, and metrizable spaces.

MATH 486 ELEMENTARY STRUCTURAL DESIGN 3 CREDITS
Prerequisite: PHYS 272 and MATH 226 or higher. Application of principles of solid mechanics to the design of steel, timber, and reinforced concrete
members and structures is covered. Emphasis is on basic ideas and their application to practical design of relatively simple structures according
to the relevant building codes.

MATH 488 INTEGRATED PRODUCT AND PROCESS DEVELOPMENT 3 CREDITS
Prerequisite: MATH 480. The course covers integration of product development with the development process, organizational structures, the
nature of design, product specification, benchmarking, design concepts, and evaluation of alternatives.

MATH 490 SELECTED TOPICS IN MATHEMATICS 3 CREDITS
Prerequisite(s): Written consent of the Instructor. Selected modern developments in pure or applied mathematics are presented.
MATH 491 SELECTED TOPICS IN MATH 3 CREDITS
Prerequisite(s): Consent of the Instructor. These courses focus on the presentation of selected modern developments in pure or applied
mathematics.

MATH 492 SELECTED TOPICS 3 CREDITS
Prerequisite(s): Consent of the Instructor. These courses focus on the presentation of selected modern developments in pure or applied
mathematics.
MATH 493 INTRO OPTIM THEORY 3 CREDITS
Prerequisite(s): Consent of the Instructor. These courses focus on the presentation of selected modern developments in pure or applied
mathematics.
MATH 494 SELECTED TOPICS IN MATH 3 CREDITS
Prerequisite(s): Written consent of the Instructor. Selected modern developments in pure or applied mathematics are presented.
MATH 499 SENIOR SEMINAR 2 CREDITS

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