Page 410 - BSU Undergraduate-Catalog-2017-2019

MATH 215 ELEMENTS OF CALCULUS 4 CREDITS
Prerequisite(s): MATH 125 or MATH 141 or MATH 150 or equivalent transfer credit. This course offers a treatment of the elements of calculus
appropriate for students majoring in the social and life sciences, computer technology and business. (Not open to students majoring in Computer
Science, Mathematics or the Dual Degree Mathematics/Engineering Program). The use of graphing calculator/computer should be expected.

MATH 225 CALCULUS I 4 CREDITS
Prerequisite(s): MATH 150 equivalent transfer credit. This is the first of a two-course sequence in the study of the Calculus of one variable,
concentrating on methods and applications of differentiation. Topics include: limits and continuity of real functions of one variable, differentiation
and anti-differentiation of the standard elementary functions, the chain rule, Rolle's Theorem, the Mean Value Theorem, simple applications to
optimization problems, graphing techniques, and an introduction to integration. Extensive use of graphing calculator/computer should be
expected.
MATH 226 CALCULUS II 4 CREDITS
Prerequisite(s): MATH 225 or equivalent transfer credit. This course provides the sequel to Calculus I. We concentrate on methods and
applications of integration, and series summation. Topics include: various techniques of integration, including exact and approximate
techniques, applications to problems involving work and solids of revolution, and an introduction to power series, including Taylor and
MacLaurin series. Extensive use of graphing calculator/computer should be expected.
MATH 228 LINEAR ALGEBRA 3 CREDITS
Prerequisite(s): MATH 225. Through this course, the student learns the basic concepts of linear algebra including vector spaces, linear systems,
matrices, determinants, linear transformations, eigenvectors and eigenvalues and the theory of quadratic forms. Extensive use of graphing
calculator/computer should be expected.

MATH 232 MULTIVARIABLE CALCULUS 4 CREDITS
Prerequisite(s): MATH 226 and MATH 228. Through this course we extend the basic notions of Calculus I and Calculus II to the realm of
multivariable functions. From a study of the fundamental properties of vectors in 3 CREDITS-space, we, we progress to vector-valued
functions, vector fields, partial derivatives, line integrals, surface integrals, flux integrals, and finally to the three famous theorems of Green, Stokes,
and Gauss. Use of graphing calculator/computer should be expected.

MATH 252 COMPUTATIONAL METHODS 3 CREDITS
Prerequisite(s): COSC 112 and MATH 228. The computer is used to solve problems such as solution of a single algebraic equation; numerical
quadrature; matrix operations; solution of large systems of linear equations; least squares techniques. Use of graphing calculator/computer
should be expected.

MATH 265 INTRO TO ENGINEERING DES 3 CREDITS
Prerequisite(s): MATH 150 or equivalent transfer credit. This course is designed to lay a strong foundation in the engineering sciences upon
which the student will later develop a professional program during the upper division years. The curriculum includes instruction in basic
engineering principles, lessons in team organization, evaluation of design concepts, and the use of various software packages. The student is
expected to participate in a team assigned to design and develop a prototype of a product.
MATH 288 ENGINEERING FOR SUSTAINABILITY 3 CREDITS
Prerequisites: MATH 185. This course comprises an intensive study, from an engineering design perspective, of the factors (physical,
environmental, and economic) which characterize interactions between human needs and the natural environment. The principles of mass
balance, energy balance, and economic and life cycle concepts are applied to resource evaluation and engineering design. Numerical models
are used to simulate various environmental conditions and to examine how they respond to human activities.

MATH 300 DIFFERENTIAL EQUATIONS 3 CREDITS
Prerequisite(s): MATH 226 and MATH 228. This course comprises an introduction to the basic concepts, theory, methods, and applications of
ordinary differential equations. The course covers the following topics: elementary methods for solving first order differential equations,
second order differential equations, Laplace transform method for solving higher order linear equations with constant coefficients and systems,
the matrix method for solving linear systems with constant coefficients, eigenvalues and eigenvectors of matrices and their use for solving
differential equations, series solutions method for solving second order linear differential equations, and numerical methods. Use of graphing
calculator/computer should be expected.
MATH 305 PRELUDE TO ADVANCED MATH 3 CREDITS
Prerequisite(s): MATH 226 and MATH 228. This course bridges the gap in logical precision between 200-level courses and more sophisticated
courses such as abstract algebra and advanced calculus. After an excursion through the basic elements of logic and set theory, including
methods of proof and disproof, the course proceeds to a rigorous treatment of the preliminary concepts of abstract algebra and real
analysis. Topics include: relations, functions, groups and subgroups, Archimedean field axioms, and some fundamental results of point set
topology pertaining to the real number line.

MATH 310 INTRO TO GEOMETRIES 3 CREDITS
Prerequisite(s): MATH 225. This course develops the elements of Euclidean and non-Euclidean geometries through a logically systematic postulate
approach. Use of graphing calculator/computer should be expected.
MATH 320 INTRO TO NUMBER THEORY 3 CREDITS
Prerequisite(s): MATH 305. Elementary Number Theory concerns the study of the arithmetic structure of the system of natural numbers. A
sampling of topics includes: the Chinese Remainder Theorem, multiplicative functions, the Mobius Inversion Formula, primitive roots, the Law of
Quadratic Reciprocity, algorithms for solving linear and quadratic congruences, introduction to Diophantine equations, and some applications
to cryptography. The use of graphing calculator/computer should be expected.
MATH 342 MATHEMATICAL PROBABILITY 3 CREDITS
Prerequisite(s): MATH 232. This course provides an intermediate level introduction to probability theory. Topics include: discrete and
continuous probability distributions, moments, expected values, characteristic functions, and the Central Limit Theorem. The use of graphing
calculator/computer should be expected.

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