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(NS) Natural and Applied SciencesMA – Mathematics (continued)MA 221Calculus and Analytic Geometry for Majors IPrerequisite: MA 141 or MA 150 or equivalent.The calculus begins with a study of limits offunctions and continuity. Additional topics to beconsidered include: the derivatives of algebraic,trigonometric, exponential and logarithmicfunctions, differentiation techniques, applicationsof differentiation, the Mean Value Theorem,indefinite integration, definite integrals, theFundamental Theorem of Calculus, and basicrules of integration. 5:0:5MA 222Calculus and Analytic Geometry forMajors IIPrerequisite: MA221 or equivalentThe study of the calculus continues withapplications of the definite integral, techniques ofintegration, improper integrals, constant termedsequences and series, power series, convergencecriteria, polar coordinates, parametric equations,and conic sections. 5:0:5MA 223Calculus and Analytic Geometry forMajors IIIPrerequisite: MA 222 or equivalentThe study of the calculus extends furtherwith three-dimensional spaces, vectors, multivariablefunctions, partial derivatives and theirapplications, multiple integration. 3:0:3MA 301Mathematical ThoughtPrerequisite: MA 211 or MA 221.A transition course for the mathematics major,this offering provides an overview of the subject asa study of systems. Topics include: informal andformal logic, theory of sets, formal developmentof the number system of mathematics. 3:0:3MA 302Ordinary Differential EquationsPrerequisite: MA 222.An introduction to ordinary differential equationsand their solutions in the complex field. Topicsinclude: series solutions and Laplace transforms.3:0:3MA 305ProbabilityPrerequisite: MA 222 or equivalent.A calculus-based approach to the theory andstatistical application of probability. Topicsinclude: discrete and continuous random308variables, density and distribution functions,probability models, non-parametric statistics.3:0:3MA 311Linear AlgebraPrerequisite: MA 211 or MA 221Topics include systems of linear equations, matrixalgebra, linear transformations, determinants,vector spaces, eigenvalues and eigenvectors, andorthogonality. 3:0:3MA 312Abstract Algebraic StructuresPrerequisites: MA 222 and MA 301.A study of several algebraic systems from apostulational viewpoint. Systems studied includegroups, rings, integral domains, and fields. 3:0:3MA 350History of MathematicsPrerequisites: MA 135 and MA 141 or MA 150.An introduction to the history of mathematicswith emphasis on the contributions of the manyand diverse cultures which have influenced thedevelopment of the discipline. Cultures studiedinclude: the Egyptians, Babylonians, Greeks,Romans, Arabs, Medieval Europeans, andRenaissance Europeans. Topics include: thePythagorean Theorem, perfect numbers, classicconstruction problems, the Golden Ratio,noteworthy mathematicians and current trends.One field trip is required. 3:0:3MA 360Modern GeometriesPrerequisite: MA 222 and MA 301, orpermission of the instructor.A study of the foundations of modern Euclideangeometry as well as finite geometries and non-Euclidean geometries. 3:0:3MA 370Number TheoryPrerequisites: MA 222 and MA 301, orpermission of the instructor.An introduction to the theory of numbers. Topicsinclude: congruencies and residue classes, thetheorems of Euler and Fermat, and numbertheoreticfunctions. 3:0:3