Apr 29, 2024  
2015-2017 Undergraduate Catalog 
    
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2015-2017 Undergraduate Catalog [ARCHIVED CATALOG]

Life and Physical Sciences

Department of Mathematical Sciences

Go to information for Department of Mathematical Sciences.

Programs

Bachelor of Science

Minor

Courses

Mathematics

  • MATH 1013 - Contemporary Mathematics (3)

    An Introduction to the mathematics used in our society. It includes elements of mathematical thought, inductive and deductive reasoning, and problem solving. Some of the topics included are graphics, counting techniques, number sequences, probability and statistics. This course satisfies the general education mathematics requirement. Prerequisite(s): Two years high school algebra or the equivalent, or one year of high school algebra and one year geometry or the equivalent. Offered in the fall, spring, and summer.

  • MATH 1110 - College Algebra I (3)

    Graphs, relations, functions, inequalities, polynomials, exponents, radicals, logarithms, and exponential functions. Prerequisite(s): two years of high school algebra or the equivalent, or one year of high school algebra and one year of geometry, or the equivalent. Offered in fall, spring, and summer.

  • MATH 1111 - Honors College Algebra I (3)

    The Honors version of MATH 1110 . Enrollment is limited to members of the University Honors Program. Offered in fall.

  • MATH 1115 - Fundamentals of Problem-Solving (1)

    (Formerly MATH 191). An introduction to Polya theories with emphasis on solving problems using mathematical methods. Prerequisite(s): 3 semester hours of college-level mathematics or permission of the Department Chair. Offered in fall, spring, and summer.

  • MATH 1410 - Structure of the Number System I (3)

    Set theory; relations; functions; inverses; order properties; systems of numeration; rational and irrational numbers; elementary number theory; mathematical systems; algorithms for the fundamental operations on whole numbers, integers, fractions, decimals, percent, ratio and proportion; equations; problem-solving; measurement in the metric system; elements of algebra; plane and solid geometry; elementary statistics. Prerequisite(s): For MATH 1410: Two years of high school algebra or the equivalent or one year high school algebra and one year geometry or the equivalent. Offered in fall, spring, and summer.

  • MATH 1420 - Structure of the Number System II (3)

    Set theory; relations; functions; inverses; order properties; systems of numeration; rational and irrational numbers; elementary number theory; mathematical systems; algorithms for the fundamental operations on whole numbers, integers, fractions, decimals, percent, ratio and proportion; equations; problem-solving; measurement in the metric system; elements of algebra; plane and solid geometry; elementary statistics. Prerequisite(s): For MATH 1420: MATH 1410 . MATH 1410  MATH 1420 Offered in fall and spring.

  • MATH 1710 - Precalculus Mathematics I (3)

    A course which with MATH 1720  provides the student with the foundation necessary to enter the calculus sequence. The topics include the study of polynomial, rational, exponential and logarithmic functions, and matrices. Offered in fall, spring, and summer.

  • MATH 1720 - Precalculus Mathematics II (3)

    A continuation of MATH 1710 . Topics include right triangle trigonometry, trigonometric functions, analytic geometry, conic sections, sequences, and notation. Prerequisite(s): grade of C or better in MATH 1710  or permission of the Department Chair. Offered in fall, spring, and summer.

  • MATH 1730 - Precalculus Mathematics, Alternate (3)

    Integrated college algebra and trigonometry. This course provides the student with the background necessary to enter the calculus sequence. Topics include polynomials; rational functions; exponential, logarithmic, and trigonometric functions; analytic geometry; and conic sections. Prerequisite(s): high school algebra II, geometry, and trigonometry, or the equivalent. Offered in fall and spring.

  • MATH 1830 - Basic Calculus I (3)

    An introduction to the basic concepts of differential and integral calculus, with applications oriented towards economics, business, and the social sciences. Prerequisite(s): grade of C or better in MATH 1110  or permission of the Department Chair. Offered in fall, spring, and summer.

  • MATH 1910 - Calculus I, Alternate (4)

    (Formerly MATH 1910) Part of the sequence MATH 1910, MATH 1920  recommended for Mathematics, Physics, Chemistry, and Biology majors. Topics include functions, graphs, limits, derivatives with applications, and the definite integral with applications. Prerequisite(s): grade of C or better in MATH 1720  or MATH 1730  or permission of the Department Chair. Offered in fall, spring, and summer.

  • MATH 1920 - Calculus II, Alternate (4)

    Study of derivatives and integrals of the trigonometric, logarithmic, and exponential functions, techniques of integration, sequences, and series. Course is part of the series MATH 1910 , 1920, MATH 2110 , recommended for all Mathematics, Physics, Chemistry, and Biology majors. Prerequisite(s): grade of C or better in MATH 1910  or permission of the Department Chair. Offered in fall, spring, and summer.

  • MATH 2110 - Calculus III, Alternate (3)

    Vector functions, three-dimensional space, partial derivatives, multiple integrals, line integrals, and applications. Part of the sequence MATH 1910 , MATH 1920 , and 2110 recommended for all Mathematics, Physics, Biology, and Chemistry majors. Prerequisite(s): grade of C or better in MATH 1920  or permission of the Department Chair. Offered in fall, spring, and summer.

  • MATH 2500 - Mathematics Research Experience I (1)

    The first in a two semester sequence of seminars designed to familiarize the mathematics major with the tools necessary to do research in mathematics. Included are logic, reading and writing mathematics, research methods and typesetting. MRE I is an introduction to the topics with emphasis on the reading and research methods. Required of all Mathematics majors (except for teacher certification candidates) Prerequisite(s): grade of C or better in MATH 1920  or permission of the Department Chair. Offered in fall and spring.

  • MATH 3120 - Applied Mathematics (3)

    Ordinary differential equations, Fourier series, and Laplace transforms, with emphasis on the application to mechanical and electrical systems. MATH 3120 is required of all Physics majors. Prerequisite(s): grades of C or better in MATH 1920 . Offered in fall and spring.

  • MATH 3130 - Advanced Mathematica (3)

    (Formerly MATH 313) An in-depth treatment of the computer software “Mathematica” with emphasis on programming in the “Mathematica” language to solve selected problems. Prerequisite(s): grades of C or better in MATH 2110  and MATH 3610 , and COMP 2120, or permission of the Department Chair. Offered in fall, spring, and summer.

  • MATH 3210 - Introduction to Number Theory (3)

    (Formerly MATH 321) Divisibility properties for the integers, the greatest common divisor, unique factorization, congruences, Diophantine equations, the Euler function, Wilson’s theorem, the Chinese remainder theorem, and other elementary properties of number. Prerequisite(s): grade of C or better in MATH 1920  or permission of the Department Chair. Offered in fall.

  • MATH 3500 - Mathematics Research Experience II (1)

    The second of in a two semester sequence of seminars designed to familiarize the mathematics major with the tools necessary to do research in mathematics. Included are logic, reading and writing mathematics, research methods and typesetting. MRE II is a continuation of the topics with emphasis on writing and presentation. Required of all Mathematics majors (except for teacher certification candidates) Prerequisite(s): grade C or better in MATH 2500  or permission of the Department Chair. Offered in fall and spring.

  • MATH 3510 - Intermediate Analysis (3)

    (Formerly MATH 351) A study of the foundations of real variable calculus, including the real numbers, limits, sequences, continuity, Bolzano-Weierstrass theorem, Heine-Borel theorem, intermediate-value theorem, and differentiability. Required of all Mathematics and Physics majors. Prerequisite(s): grade of C or better in MATH 1920  or permission of the Department Chair. Offered in spring.

  • MATH 3610 - Linear Algebra I (3)

    (Formerly MATH 361) Homogeneous and non-homogeneous systems, matrix algebra, determinants, vector spaces and subspaces, bases, orthogonal bases, linear transformations, and rank. Required of all Mathematics, Physics, and Computer Science majors. Prerequisite(s): grade of C or better in MATH 1920  or permission of the Department Chair. Offered in fall, spring, and summer.

  • MATH 3620 - Linear Algebra II (3)

    (Formerly MATH 362) A continuation of MATH 3610 . It is strongly recommended that MATH 3610  and 3620 be taken sequentially. Topics include a further treatment of linear transformations, rank, eigenvalues, eigenvectors, and the spectral theorem. Required of all Mathematics majors. Prerequisite(s): grade of C or better in MATH 3610 . Offered in fall, spring, and summer.

  • MATH 3640 - Abstract Algebra (3)

    (Formerly MATH 364) An introduction to properties of groups, rings, integral domains, and fields. Required of all Mathematics majors. Prerequisite(s): grades of C or better in MATH 1920  and MATH 3210 , or permission of Department Chair. Offered in spring.

  • MATH 3710 - Teaching Mathematics in the Secondary School (3)

    (Formerly MATH 371) Lectures, discussions, and reports on materials and methods used in the instruction of mathematics at the middle school and high school level. Clinical and field-based experiences which call for active participation by students are part of the course requirements. Required of all students seeking certification in Mathematics. Prerequisite(s): official admission to the Teacher Education Program. Offered in spring.

  • MATH 3810 - Geometry (3)

    (Formerly MATH 381) A brief review of Euclidean geometry with further topics, including the non-Euclidean and projective geometries. Required of all teacher certification candidates in Mathematics. Prerequisite(s): grade of C or better in MATH 1920  or permission of the Department Chair. Offered in spring and summer.

  • MATH 3900 - Introduction to Numerical Analysis (3)

    (Formerly MATH 390) Errors, interpolation, approximations, numerical quadrature, solution of ordinary differential equations. Prerequisite(s): grade of C or better in MATH 1920  or permission of the Department Chair. Offered on demand.

  • MATH 4310 - Topology I (3)

    (Formerly MATH 431) Homeomorphisms, connectedness, compactness, metric spaces, normal spaces, Urysohn’s lemma, Tietze’s theorem, separation axioms, product topology, Hilbert space, quotient space, paracompactness, nets, and filters, with an introduction to homotopy theory. Prerequisite(s): grades of C or better in MATH 2110 , and MATH 3510 , or permission of the Department Chair. Offered on demand.

  • MATH 4320 - Topology II (3)

    (Formerly MATH 432) Homeomorphisms, connectedness, compactness, metric spaces, normal spaces, Urysohn’s lemma, Tietze’s theorem, separation axioms, product topology, Hilbert space, quotient space, paracompactness, nets, and filters, with an introduction to homotopy theory. Prerequisite(s): grades of C or better in MATH 2110 , and MATH 3510 , or permission of the Department Chair. Offered on demand.

  • MATH 4410 - Advanced Calculus I (3)

    (Formerly MATH 441) A variety of topics including functions of several variables; the algebra and topology of Euclidean n-space; differentials; extrema; the gradient; line, surface and volume integral; Stokes’ theorem; inverse mapping theorem; and manifolds. Prerequisite(s): grades of C or better in MATH 2110 , MATH 3510 , and MATH 3610 , or permission of the Department Chair. Mathematics majors must take this sequence or MATH 4640 -MATH 4650  or STAT 4210-4220. MATH 4410 is offered in fall.

  • MATH 4420 - Advanced Calculus II (3)

    (Formerly MATH 442) A variety of topics including functions of several variables; the algebra and topology of Euclidean n-space; differentials; extrema; the gradient; line, surface and volume integral; Stokes’ theorem; inverse mapping theorem; and manifolds. Prerequisite(s): grades of C or better in MATH 2110 , MATH 3510 , and MATH 3610 , or permission of the Department Chair. Mathematics majors must take this sequence or MATH 4640 -MATH 4650  or STAT 4210-4220. MATH 4420 is offered in spring.

  • MATH 4500 - Senior Project (3)

    (Formerly MATH 450) A comprehensive inquiry into the nature of mathematics . Emphasis is on written presentation of the subject matter. Required of all prospective graduating seniors in Mathematics. Prerequisite(s): senior standing. Offered in fall.

  • MATH 4510 - Real Analysis I (3)

    (Formerly MATH 451) Set theory, algebra, and topology of the real numbers, continuous functions, uniform convergence, measure and integration theory, Lebesque measure and integrals, convergence theorem, L-spaces, Banach spaces, differentiation, Radon-Nikodym theorem, Fubini theorem. Prerequisite(s): grade of C or better in MATH 4420  or permission of the Department Chair. Offered on demand.

  • MATH 4520 - Real Analysis II (3)

    (Formerly MATH 452) Set theory, algebra, and topology of the real numbers, continuous functions, uniform convergence, measure and integration theory, Lebesque measure and integrals, convergence theorem, L-spaces, Banach spaces, differentiation, Radon-Nikodym theorem, Fubini theorem. Prerequisite(s): grade of C or better in MATH 4420  or permission of the Department Chair. Offered on demand.

  • MATH 4530 - Complex Analysis I (3)

    (Formerly MATH 453) Analytic functions, Cauchy’s integral theorem, Taylor and Laurent series, singularities, residue theory, analytic continuation, conformal mapping, Riemann surfaces, infinite products, and entire functions. Prerequisite(s): grade of C or better in MATH 442 or permission of the Department Chair. MATH 4530 is offered in fall of odd-numbered years.

  • MATH 4540 - Complex Analysis II (3)

    (Formerly MATH 454) Analytic functions, Cauchy’s integral theorem, Taylor and Laurent series, singularities, residue theory, analytic continuation, conformal mapping, Riemann surfaces, infinite products, and entire functions. Prerequisite(s): grade of C or better in MATH 442 or permission of the Department Chair. MATH 4540 is offered in spring of even-numbered years.

  • MATH 4560 - Differential Equations I (3)

    (Formerly MATH 456) First- and second-order equations, general theory of linear nth-order differential equations, constant coefficient systems, variation of parameters, infinite series, singular solutions, asymptotic solutions, Green’s functions, stability, special functions, Laplace transform. Prerequisite(s): grades of C or better in MATH 3030 and MATH 3620 , or permission of the Department Chair. MATH 4560 is offered in fall of even-numbered years and spring of odd-numbered years.

  • MATH 4570 - Differential Equations II (3)

    (Formerly MATH 457) First- and second-order equations, general theory of linear nth-order differential equations, constant coefficient systems, variation of parameters, infinite series, singular solutions, asymptotic solutions, Green’s functions, stability, special functions, Laplace transform. Prerequisite(s): grades of C or better in MATH 3030 and MATH 3620 , or permission of the Department Chair.

  • MATH 4640 - Modern Algebra I (3)

    (Formerly MATH 464) Equivalence relations, mappings, groups, rings, fields, polynomial rings, modules, vector spaces, Galois theory. Prerequisite(s): grades of C or better in MATH 3210 , MATH 3620 , and MATH 3640 , or permission of the Department Chair. Mathematics majors must take this sequence or MATH 4410 -MATH 4420  or STAT 4210-4220. MATH 4640 is offered in the fall.

  • MATH 4650 - Modern Algebra II (3)

    (Formerly MATH 465) Equivalence relations, mappings, groups, rings, fields, polynomial rings, modules, vector spaces, Galois theory. Prerequisite(s): grades of C or better in MATH 3210 , MATH 3620 , and MATH 3640 , or permission of the Department Chair. Mathematics majors must take this sequence or MATH 4410 -MATH 4420  or STAT 4210-4220. MATH 4650 is offered in the spring.

  • MATH 4724 - Student Teaching of Mathematics in the Secondary Schools (9)

    (Formerly MATH 472S) A semester-long experience of supervised practice teaching, appropriately divided between middle school and high school. Required of all students seeking certification in teaching mathematics. Prerequisite(s): successful completion of all certification courses except EDCI 4705 , which is taken concurrently. Offered on demand.

  • MATH 4730 - Logic I (3)

    (Formerly MATH 473) Introduction to mathematical logic. Logic I is a survey of fundamental material including the statement calculus and the predicate calculus. Logic II is an introduction to Fuzzy Logic and Gödel’s Incompleteness Theorem. Prerequisite(s): grade of C or better in MATH 2110  or permission of the Department Chair. Offered on demand.

  • MATH 4740 - Logic II (3)

    (Formerly MATH 474) Introduction to mathematical logic. Logic I is a survey of fundamental material including the statement calculus and the predicate calculus. Logic II is an introduction to Fuzzy Logic and Gödel’s Incompleteness Theorem. Prerequisite(s): grade of C or better in MATH 2110  or permission of the Department Chair. Offered on demand.

  • MATH 4750 - History of Mathematics (3)

    (Formerly MATH 475) The origin and development of mathematical ideas, beginning with geometry and algebra and continuing through selected topics in modern mathematics. Prerequisite(s): grade of C or better in MATH 2110  or permission of the Department Chair. Offered in spring and summer.

  • MATH 4900 - Special Topics (3)

    (Formerly MATH 490) Special topics in mathematics to be offered with permission of the undergraduate mathematics curriculum committee in response to the preference and needs of the students. Repeatable to six hours. Prerequisite(s): permission of the Department Chair. Offered in fall, spring, and summer.

Physics

  • PHYS 1030 - Conceptual Physics (4)

    This course is designed to present aspects of conceptual physics of interest to students in music, communications, and other artistic and non-scientific disciplines. Students will gain the ability to understand and explain physics concepts of dance and movement, musical instruments and the human voice, light and color, and electronic devices related to music and sound. There is a one 2-hour lab each week employing the use of scientific instrumentation to demonstrate and measure the physical principles of the course. This course does not count toward the minor in physics. Prerequisite(s): Two years of high school algebra or the equivalent, or a year high school algebra and one year geometry or the equivalent. Offered each semester.

  • PHYS 2010 - College Physics I (3)

    The first course in a non-calculus-based introductory physics sequence. Topics included are mechanics and sound. The course presents the basic principles of physics. It is required of biology, pre-medicine, and allied health profession majors. Prerequisite(s): grade of C or better in MATH 1720 , or MATH 1730 . Offered in fall, spring, and summer.

  • PHYS 2011 - College Physics I Laboratory (1)

    This course is designed to be taken concurrently with the corresponding lecture course, PHYS 2010 . One two-hour laboratory each week. Offered in fall, spring, and summer.

  • PHYS 2020 - College Physics II (3)

    The second course in a non-calculus-based physic sequence. Topics included are heat, light, electricity, magnetism, and modern physics. Prerequisite(s): grade of C or better in PHYS 2010 . Offered in fall, spring, and summer.

  • PHYS 2021 - College Physics II Laboratory (1)

    This course is designed to be taken concurrently with the corresponding lecture course, PHYS 2020 . One two-hour laboratory each week. Offered in fall, spring, and summer.

  • PHYS 2110 - General Physics I (3)

    (Formerly PHYS 2030). Principles of mechanics, gravitation, fluid mechanics and sound. The first course in calculus-based physics sequence that is intended for student with majors in physics, engineering, mathematics, or a physical science. PHYS 2110, with accompanying laboratory, is required of all Physics and Mathematics majors. Prerequisite(s): MATH 1720  and MATH 1910  Corequisite(s): MATH 1920 . Offered in fall, spring, and summer.

  • PHYS 2111 - General Physics I Laboratory (1)

    (Formerly PHYS 2031). One two-hour laboratory per week designed to be taken concurrently with the corresponding lecture course, PHYS 2110 . Required of all Physics and Mathematics majors. Offered in fall, spring, and summer.

  • PHYS 2120 - General Physics II (3)

    (Formerly PHYS 2040). Principles of heat, electricity, magnetism, and optics. The second course in calculus-based physics sequence. PHYS 2120 with accompanying laboratory, is required of all Physics and Mathematics majors. Prerequisite(s): PHYS 2110  with C or better. Offered in fall, spring, and summer.

  • PHYS 2121 - General Physics II Laboratory (1)

    (Formerly PHYS 2041). One two-hour laboratory per week designed to be taken concurrently with corresponding lecture course, PHYS 2120 . Required of all Physics and Mathematics majors. Offered in fall, spring, and summer.

  • PHYS 3110, 3120 - Electricity and Magnetism I, II (3, 3)

    (Formerly PHYS 311, 312). Fundamentals of theoretical electricity and magnetism. Emphasis is placed upon problems using vector calculus in three dimensions. Three lectures per week. Required of all Physics majors. Prerequisite(s): MATH 2110  or 2125, AND PHYS 2120 , PHYS 2121 , all with a grade of C or better. Three lectures per week. PHYS 3110 is offered in fall of odd-numbered years and 3120 in spring of even-numbered years.

  • PHYS 3140 - Optics (3)

    (Formerly PHYS 314). A brief review of geometrical optics and a study of physical optics, including spectroscopy. Three lectures and one laboratory period per week. Prerequisite(s): MATH 1920  and either of the sequences: PHYS 2020 , PHYS 2021  or PHYS 2120 , PHYS 2121 . Offered on demand.

  • PHYS 3200 - Heat and Thermodynamics (3)

    (Formerly PHYS 320). A study of the fundamentals of heat and an introduction to thermodynamics with applications to chemistry. Three lectures per week. Required of all Physics majors. Prerequisite(s): PHYS 2120 , PHYS 2121 , and MATH 1920 . (MATH 3610  and either MATH 2110  or 2125 recommended). Three lectures per week. Offered in spring of even-numbered years.

  • PHYS 3210, 3220 - Mechanics I, II (3, 3)

    (Formerly PHYS 321, 322). Statics and dynamics of particles and rigid bodies, Lagrange’s and Hamilton’s equations, fluid statics, and vibrations. Three lectures per week. PHYS 3210 required of all Physics majors. Prerequisite(s): PHYS 2120 , PHYS 2121 , and MATH 1920 . MATH 3610  and either MATH 2110  or 2125 recommended. Three lectures per week. PHYS 3210 is offered in fall and 3220 is offered on demand.

  • PHYS 3411, 3421 - Advanced Physics Laboratory I, II (2, 2)

    (Formerly PHYS 341, 342). A course designed to permit the student to develop a variety of laboratory skills and techniques by performing advanced experiments in mechanics, heat, sound, light, and modern physics. Two laboratory periods per week. Required of all Physics majors. Prerequisite(s): PHYS 2120 , PHYS 2121 , and MATH 1920 . Two laboratory periods per week. PHY 3411 is offered in fall and 3421in spring.

  • PHYS 3610 - Solid State Physics (3)

    (Formerly PHYS 361). A physical interpretation of the conductive properties of metal and semi-conductor materials based on the periodic nature of the crystalline solid, with applications including the transistor. Primarily for engineering, physics, or computer science students with junior standing. Required of all Physics majors. Prerequisite(s): PHYS 2120 , PHYS 2121   and either MATH 2110  or 2125. Offered in spring of odd-numbered years.

  • PHYS 4100, 4110 - Introduction to Quantum Mechanics I, II (3, 3)

    (Formerly PHYS 410, 411). Introduction to fundamental principles of quantum mechanics and methods of calculation, with application to atomic, molecular, and nuclear physics. PHYS 4100 is required of all Physics majors. Prerequisite(s): PHYS 2120 , PHYS 2121 , and MATH 1920 . PHYS 4100 is offered in spring of odd-numbered years and 4110 is offered on demand.

  • PHYS 4120, 4130 - Modern Physics I, II (3, 3)

    (Formerly PHYS 412, 413). The classical and modern concepts of the atom and introduction to molecular structure, the chemical bond, nuclear physics, fission, isotopic tracers, medical radiology, cosmic rays. PHYS 4120 is required of all Physics majors. Prerequisite(s): MATH 1070 and either of the following two sequences: PHYS 2020 , PHYS 2021 , or PHYS 2120 , PHYS 2121 . PHYS 4120 is offered in fall of even-numbered years and 4130 is offered on demand.

  • PHYS 4500 - Senior Project (3)

    (Formerly PHYS 450). Individual study and presentation of a special topic in physics. Required of all Physics majors. Offered in fall.

  • PHYS 4600 - Undergraduate Readings and Research (3)

    (Formerly PHYS 460). Individual study and research under faculty guidance. Prerequisite(s): 12 hours of upper-level physics and permission of instructor. Offered in fall, spring, and summer.

  • PHYS 4900 - Special Topics in Physics (Up to 9 hours total)

    (Formerly PHYS 490). Courses offered to the preference and needs of the student. The credits for each course vary from two to three semester hours, with a total of nine credit hours the maximum from this group permitted toward the Physics degree. Prerequisite(s): PHYS 2120 , PHYS 2121 , and permission of the instructor. PHYS 4900 and 4911 offered in fall, spring and summer, Other 49XX course offered on demand.

  • PHYS 4905 - Advanced Laboratory Studies 2

  • PHYS 4906 - Analytical Mechanics 3

  • PHYS 4907 - Electricity and Magnetism 3

  • PHYS 4908 - Modern Physics 3

  • PHYS 4909 - Optics 3

  • PHYS 4910 - Quantum Mechanics 3

  • PHYS 4911 - Research Project 3

  • PHYS 4912 - Solid State Physics 3

  • PHYS 4913 - Thermodynamics and Statistical Mechanics 3