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Graduate Courses

Current_RubricCurrent_NumberNew_RubricNew_NumberCourse_TitleCourse_Description
MATH430MATH4388THE HISTORY OF MATHEMATICSGeneral view of the development of the elementary branches of mathematics; growth of higher mathematics in the eighteenth and nineteenth centuries. Three hours of lecture per week. Prerequisite: Twelve credits of college mathematics
MATH431MATH4361SOFTWARE: SCIENTIFIC COMPUTINGThis course introduces three pieces of scientific computing software that are widely used in industry and universities: Matlab, R Programmaing and Mathematica.
MATH439MATH4331INTRODUCTION TO ANALYSISThe real number system; elementary point set theory; sequences and series; continuity; differentiation and integration. Three hours of lecture per week. Prerequisites: MATH 243 and MATH 331.
MATH460MATH4333INTRODUCTION COMPLEX ANALYSISComplex numbers and complex geometry; limits, continuity, derivatives, and the Cauchy-Riemann equations; analytic and harmonic functions; Cauchy’s Integral Theorem and its consequences. Three hours of lecture per week. Prerequisites: MATH 243 and MATH 331.
MATH461MATH4338INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONSLinear Operators: Linear first order equations; the wave equation; the heat equation; Laplace’s Equation; Green’s Function and Sturm-Liouville problems; Fourier Series; Numerical Solutions. Three hours of lecture per week. Prerequisite: MATH 251.
MATH462MATH4336INTRODUCTION TO TOPOLOGYTopics include metric spaces, connectedness, and compactness. The topology of Euclidean spaces discussed in detail as well as its generalization to nonmetric topological spaces. Three hours of lecture per week. Prerequisites: MATH 243 and MATH 331.
MATH463MATH4363INTRODUCTION TO NUMERICAL ANALYSISComputer Arithmetic and associated error analysis. Solution of non linear equations. Interpolation and approximation methods. Numerical differentiation and integration. Initial value problems for ordinary differential equations. Three hours of lecture. Prerequisite: MATH 242.
MATH465MATH4322Introduction Data Science and Machine LearningThis course introduces theory and applications for statistics learning techniques including linear and logistic regression, classification and regression trees, random forests and neural networks. R programming will be used throughout the course.
MATH466MATH4323Introduction to Statistics LearningThis course introduces theory and applications for statistics learning techniques including maximal marginal classifiers, support vector machines, K-means and hierarchical clustering, and resampling methods. R programming will be used throughout the course.
MATH467STAT4360Introduction to biostatistics with RThis course is intended as comprehensive concepts-centric biostatistics primer. Those who complete the course will be able to read and respond to the scientific literature, including the Methods and Results sections, biological science, and related fields. Successful learners will also be prepared to participate as part of a research team in biological science and related fields.
MATH471MATH4371TOPICS IN MATH INew developments and trends in mathematics discussed. Three hours of lecture per week. Prerequisite: Consent of the instructor.
MATH473STAT4373PROBABILITY & STATISTICS IIntroduction to probability and statistical inference making use of the calculus developed in MATH 241 and MATH 242. Three hours of lecture per week. Prerequisite: MATH 242.
MATH475MATH4375INTRODUCTION TO MODERN ALGEBRAGroup theory; Lagrange’s Theorem; Isomorphism Theorem; Cayley’s Theorem; rings and fields. Three hours of lecture per week. Prerequisite: MATH 336 or consent of the instructor.
MATH490MATH4390INDEPENDENT STUDY UNDERGRADIntensive study of a topic in mathematics under the direction of a faculty member. Prerequisites: Senior standing and consent of the instructor.
MATH499MATH4399SEMINARVarious topics in mathematics discussed. Three hours of lecture per week. ( Prerequisite: Consent of the instructor)
MATH577MATH5377FOURIER SERIESStudy of approximations of functions by orthogonal systems of functions; Fourier series; orthonormal systems and generalized Fourier series, applications to boundary value problems. (Prerequisites: MATH 243 and 251)
MATH578MATH5378LAPLACE TRANSFORMSDefinitions and elementary properties; transform of discontinuous functions; inverse transformations; convolution theorems, application to ordinary differential equations. (Prerequisites: MATH 242 and 251 )
MATH599MATH5399RESEARCH AND CONFERENCEMay not be repeated for graduate credit. (Prerequisite-site: Graduate standing and twelve [12] hours of senior undergraduate or graduate mathematics)
MATH631MATH6331INTRO TO THE FOUND OF MATHEvolution of Math-metical ideals and methods, relations to logic; the axiomatic method; the infinite paradoxes; contradictions. (Prerequisite: Graduate standing)
MATH633MATH6333THEORY OF FUNCTIONS OF REAL VARABLESThe fundamental part of the theory of functions of a real variable; the topology of the real line, limit, continuity, differentiation, integration, sequences and series of functions. (Prerequisite: MATH 439)
MATH634MATH6334THEORY OF FUNCTIONS OF COMPLEX VARABLESThe fundamental part of the theory of functions of a complex variable; complex number system, limits continuity, derivatives of complex functions, integration in the complex domain. (Prerequisite: MATH 460 or consent of instructor)
MATH636MATH6336POINT SET TOPOLOGYIntroduction to the study of point set topology: topological spaces, metric space, the topology of the real line and real plane, continuous functions, homeomorphisms, product spaces, compactness, connectivity, separation theorems. (Prerequisites: MATH 439 or instructor’s consent)
MATH637MATH6337FUNCTIONAL ANALYSISIntroduction to functional analysis: finite and infinite dimensional vector spaces norms and inner products, Banach space, Hilbert space, L-space, linear operators. (Prerequisites: MATH 636 and MATH 633 or instructor’s consent)
MATH638MATH6338PARTIAL DIFFERENTIAL EQUATIONSDefinitions of equations and their solutions: method of Jacobi and Mange, solutions by quadrature, existence theorems, separation of variables, elliptic, parabolic and hyperbolic systems, and operational methods. (Prerequisites: MATH 251)
MATH732MATH6332THEORY OF NUMBERSElementary properties of integers, the theorems of Fermat and Wilson the theory of congruencies, quadratic residues, the reciprocity theorem, Diophantine equations, definite and indefinite binary quadratic forms, ternary quadratic forms, regular and irregular forms. (Prerequisite: MATH 331)
MATH733MATH6375ABSTRACT ALGEBRAAdvanced topics in modern algebra: generally the topics will be in one or more of the areas: group theory, theory of rings and fields, homological algebra. (Prerequisite: MATH 331 or consent of instructor)
MATH790MATH6390INDEPENDENT STUDY GRADGraduate standing / approval of advisor.
MATH832MATH6339FINITE DIFFERENCESTables of differences, difference formulas, finite integration with applications, interpolation, approximate integration, beta and gamma functions, difference equations.