2005-2006 Academic Catalog

Science and Mathematics School of Engineering, Nursing, and Science 188 2210 Logic and Methods of Proof; ENG-1400 English Compo- sition. (Fee: $50) MATH-4110 Probability and Statistics II – Sp 3 hours Second course of a two-course sequence covering basic concepts of statistics. Topics chosen from the following: hypothesis tests, regression analysis, quality control, and non- parametric statistics. Prerequisites: MATH-3110 Probability and Statistics I. MATH-4210 Mathematical Methods for Physicists –Fa 3 hours Advanced mathematical methods used in the solution of physics problems. Topics include curvilinear coordinates, vector analysis, and solutions to partial differential equations using Fourier, Bessel and Legendre functions. Prerequisites: MATH-2710 Calculus III; MATH-2740 Differential Equations. (even years) MATH-4410 3 hours EuclideanandNon-EuclideanGeometry –Sp Rigorous treatment of the foundations of Euclidean geometry; an introduction to hyperbolic geometry with emphasis on its Euclidean models. Prerequisites: MATH-2210 Logic and Methods of Proof. MATH-4450Topology –Fa 3 hours An introduction to elementary point set topology with emphasis on illustrating how the familiar concepts of closed and open intervals, continuity of functions, distances, and various geometrical properties have been generalized from classical mathematics. Topics include: metric spaces, topological space theory, separation axioms, covering properties, compactness, connectedness, metrizability, and complete metric spaces. Prerequisite: MATH-2210 Logic and Methods of Proof. (even years) MATH-4610, 4620 Abstract Algebra I, II –Fa,Sp 3 hr/sem Introduction to and development of the basic ideas of algebraic systems, groups, rings, integral domains, fields, and other advanced topics. Prerequisite: MATH-2210 Logic and Methods of Proof. (even years) MATH-4710, 4720 Real Variables I, II –Fa,Sp 3 hr/sem Introduction to the real number system’s algebraic order, completeness, and cardinality properties, the topology of Cartesian spaces R n and functions including continuity and uniform continuity, connectedness, convexity, compactness, various types of convergence, limits, differentiability, and Riemann integration, measurability, and L n. Prerequisites: MATH-2210 Logic and Methods of Proof. (odd years) MATH-4800 1 hour Capstone Experience in Mathematics –Fa,Sp The course will allow students to deeply research an important topic in mathematics, both individually and collectively, and to present their findings from library research as well as personal work. Prerequisites: MATH-3800 Research Methods in Math- ematics; 15 hours of courses beyond MATH-1720 Calculus II; permission of instructor. (Fee: $20) MATH-4880 Topics in Mathematics –Fa,Sp 1-3 hours Some typical topics are linear programming, numerical analysis, stochastic calculus, non-parametric statistics, partial differential equations, or mathematical modeling. This course is intended to be a topic not in the current curriculum that is a logical extension and development of the student’s academic plan. Prerequisite: permission of instructor. MATH-4900 1-3 hours Independent Study in Mathematics –Fa,Sp Independent research in the various branches of mathematics and allied fields of application. Submission and approval of a research proposal must precede registration. Prerequisite: major in mathematics or permission of research advisor. Physics PHYS- 2110 General Physics I – Fa,Sp 4 hours Basic concepts of linear and rotational motion in three dimensions, oscillatory motion, gravitation, fluid mechanics, and basic concepts of wave motion. Three lectures and one two-hour laboratory per week. Prerequisite: MATH-1710 Calculus I; MATH- 1720 Calculus II; MATH-1720 may be co-enrolled with permission of instructor. (Fee: $100) PHYS- 2120 General Physics II – Fa,Sp 4 hours Basic concepts of electricity and magnetism, light, and optics. Three lectures and one two-hour laboratory per week. Prerequisites: MATH-1720 Calculus II; PHYS-2110 General Physics I. (Fee: $100) PHYS- 2130 General Physics III –Fa 2 hours Basic concepts of heat and thermodynamics and a basic introduction to modern physics, including introductory concepts of relativity and quantum theory. Prerequisites: MATH-1720 Calculus II; PHYS-2120 General Physics II; PHYS-2120 may be co-enrolled with permission of instructor. (odd years) PHYS-3110 Intermediate Physics Laboratory –Sp 2 hours Designed to reinforce concepts of the advanced physics courses and develop critical research and analysis skills. This course provides laboratory experience in such topics as oscillatory motion and waves, mechanics, electricity and magnetism, thermodynamics, and quantum mechanics. During this semester the student will develop his/her prospectus for his/her advanced laboratory project. Laboratory skills for planning, setup, documentation, and analysis using the scientific method will be emphasized. Prerequisite: 3 hours of a 3000- or 4000-level physics course. (Fee: $100) PHYS-3310 Theoretical Mechanics I –Sp 3 hours Derivation of the motion of a point object through three- dimensional space. Topics include an advanced treatment of Newtonian mechanics in three dimensions, oscillatory motion, accelerated frames of reference, central forces, and an introduction to Lagrangian mechanics. Prerequisites: PHYS- 2120 General Physics II; MATH-2740 Differential Equations; MATH-2740 may be co-enrolled with permission of instructor. (even years) PHYS- 3330 Acoustics –Fa 3 hours This course will study the generation, transmission and reception of sound. Topics include wave propagation through the air, resonance conditions for strings, bars, membranes and air cavities, acoustic filters, measurement and human perception of sound. Applications will be made to musical instruments, room acoustics, microphones, and speakers. Prerequisites: MATH-2710 Differential Equations; PHYS-2110 General Physics I. (odd years) PHYS-3350 Thermal Physics –Fa 3 hours Study of the relationship between energy and matter through the use of thermodynamics and statistical mechanics. Topics include the laws of thermodynamics, heat, work, entropy, phase transformations, statistical distributions, and kinetic theory. Prerequisite: PHYS-2130 General Physics III. (odd years) PHYS-3410 Electromagnetic Theory I –Fa 3 hours Electricity and magnetism from an advanced viewpoint using the methods of vector calculus. Includes electrostatics, Gauss’ Law, Poisson’s equation, Laplace’s equation, dielectric media, electric currents, and magnetostatics. Prerequisites: PHYS-2120 General Physics II; MATH-2710 Calculus III. (odd years) PHYS-3510 Modern Physics –Sp 3 hours Introduction to relativity theory, quantum theory, including Schrodinger’s Equation, and its basic applications, and atomic structure. Prerequisite: PHYS-2130 General Physics III. (odd years)