428 Packages for Mathematical Computations (3)
The nature of libraries of procedures for solving mathematical problems, including the design parameters, selection of algorithms, problems with reliability and transportation. Several major mathematical packages will be examined in detail, including IMSL, LINPACK , EISPACK , MINPACK. On demand. Prerequisites: Computer Science 118 or consent of instructor; Mathematics 245 and one of the following: Mathematics 308 or Engineering 225 or Computer Science 231 with minimum grades of C.
430 The Historical Development of Mathematics (3)
Examination of central ideas, major developments, and important issues in mathematics from ancient times to the present. Historical overview of the evolution of the discipline through comparative examination of specific theories and results. Alternate fall and summer. Prerequisite: Mathematics 300 with a minimum grade of C.
440 Applied Analysis (3)
Vector analysis through Stokes’ Theorem and the Divergence Theorem. Topics in advanced calculus including implicit functions, Jacobians, interchange of limit processes, and uniform convergence of series of functions; introduction to power series solutions of differential equations. Prerequisites: Mathematics 245, 255 with minimum grades of C.
445 Advanced Differential Equations (3)
Systems of differential equations; existence and uniqueness theorems; linear systems; phase plane analysis; stability theory; applications. Fall semester alternate years. Prerequisite: Mathematics 245, 255 with minimum grades of C.
450 Modern Analysis (3)
Differentiation; inverse and implicit function theorems; functions of bounded variation. Integration and measure; integration on manifolds; Stokes’ and Green’s Theorems; other selected topics. On demand. Prerequisite: Mathematics 350 with a minimum grade of C.
452 Basic Concepts of Geometry (3)
Deficiencies in Euclidean geometry, Euclid’s parallel postulate, introduction to non-Euclidean geometry, consistency and validity of non-Euclidean geometry, incidence geometries, affine geometries, linear, planar, and spatial order properties. Alternate fall and summer semesters. Prerequisite: Mathematics 300 with a minimum grade of C, or approval of instructor.
454 Abstract Algebra (3)
A study of special topics from advanced algebra, various algebraic structures, and the applications of algebra. On demand. Prerequisite: Mathematics 321 or 412 with a minimum grade of C, or approval of instructor.
460 Techniques of Applied Mathematics (3)
Additional topics in vector calculus; series of orthogonal functions; integral transforms; treatment of some elementary partial differential equations arising in applications. Spring semester alternate years. Prerequisites: Mathematics 245, 255 with minimum grades of C.
465 Numerical Analysis I (3)
Numerical solutions of equations in one variable; interpolation and polynomial approximation; numerical differentiation and integration; initial value problems for ordinary differential equations; direct methods for solving systems of linear equations. Prerequisites: Mathematics 212 and 245 with minimum grades of C, and a background in computer programming (for example, Computer Science 150).
466 Numerical Analysis II (3)
Iterative techniques for solving systems of linear equations; approximation theory; eigenvalue and eigenvector approximation; boundary value problems for ordinary differential equations; numerical solution to partial differential equations. Prerequisite: Mathematics 465 with a minimum grade of C, or approval of instructor.
470 Introductory Complex Variables (3)
Complex numbers; differentiation and integration of functions of a complex variable; analytic functions; Cauchy’s Theorem; power series; residues and poles; conformal mapping; contour integration. Fall semester alternate years. Prerequisites: Mathematics 245, 255 with minimum grades of C.
475 Research Seminar (1)
Investigation of special topics in mathematics using the directed research technique. On demand. Prerequisite: approval of department. Graded satisfactory/no credit.
495r Departmental Honors (1-3 hours per term, 4 hours for the two terms)
On demand. See Departmental Honors.
497r Research (1-4)
On demand.
498r Individual Studies (1-4)
On demand.
499r Group Studies (1-4)
On demand.
Music
Cadek Department of Music
Associate Professor Lee Harris, Head
The requirements for entrance and graduation as set forth in the catalog are in accordance with the published regulations of the National Association of Schools of Music and the Tennessee regulations for certification of teachers.
The Cadek Department of Music offers two degree programs at the undergraduate level: Bachelor of Arts with a major in music and the Bachelor of Music. The B.M. degree provides four concentrations for the major: instrumental performance, vocal performance, sacred music, and theory/composition. The B.M. degree in music education provides two concentrations for the major: instrumental and vocal.
The B.A. degree is offered students who desire a strong liberal arts background with a major in music. Approximately one-third of the four-year B.A. program is in music, and numerous elective hours outside the department permit considerable study in other academic areas. The B.M. degree affords the student a more concentrated course of study in the major area: approximately two- thirds of the four-year program is in music. The B.M. degree in music education is especially appropriate for students who plan a career teaching music in elementary, middle, or secondary schools. It combines general education with music content and teaching methodology in a highly structured course of study. Successful completion of the program gains the student teaching certification. All three degree programs represent appropriate preparation for graduate study.
In addition to University admission standards, prospective music majors will stand an audition in their primary performing area which will determine the appropriate applied music course level and degree program. All music majors are required to participate in an ensemble for each semester of residence appropriate to the concentration, and must accumulate a minimum of eight hours credit (seven hours for music education majors). For all music majors, a 2.0 average in music courses is required for enrollment in 300 and 400 level music courses. A senior educational experience is required of all majors.
In addition to degree requirements herein listed, other regulations for music majors appear in the current Music Student Handbook.
