2001-2002 Academic Catalog

Engineering, Nursing, and MATH-471,472 Real Variables I, H-A,W 4 hours Introduction to the real number system's algebraic, order, complete– ness, and cardinality properties, the topology of Cartesian spaces R 0 and functions including continuity and uniform continuity, connected– ness, convexity, compactness, various types of convergence, limits, differentiability, and Riemann integration, measurability, andL spaces. Prerequisite: MATH-283 Ana~vtic GeometlJ' and Calcu~us III; MATH-303 Logic and Methods ofProof (odd years) MATH-480 Topics in Mathematics 2-5 hours Some typical topics are complex variables, matrix algebra, vector analysis, numerical analysis, introduction to computer programming, partial differential equations, and mathematical modeling. Prerequisite: permission ofinstructor. MATH-490 Independent Study in Mathematics 1-4 hours Independent research in the various branches ofmathematics and allied fields of application. Submission and approval of a research proposal must precede registration. Prerequisite: major i11 mathemat– ics and permission o_fresearch advisor. MATH-491 Mathematical Methods for Physicists-A 5 hours Advanced mathematical methods used in the solution of physics problems. Topics include curvilinear coordinates, vector analysis, and Fourier, Bessel, and Legendre solutions to partial differential equations. Prerequisite: PHYS-311 Theoretical Mechanics or PHYS- 378 Modem Physics I; MATH-387 Differential Equations; MATH- 388 Advanced Calculus I. (even years) Physics PHYS-172 College Physics I-A 5 hours Basic concepts ofmechanics, including kinematics, motion in two dimensions, force and motion, work and energy, momentum, circular motion, and gravitation. Four lectures and one two-hour laboratory per week. Prerequisite: high school trigo110111et1)', or GSCI-185 Precalculus, or equivalent. (Fee: $50) (even years) PHYS-173 College Physics II-W 5 hours Fluids, liquids and gases, heat and thermodynamics, waves, electric– ity and magnetism, and AC circuits. Four lectures and one two-hour laborat01y per week. Prerequisite: PHYS-172 College Physics I or equivalent. (Fee: $50) (even years) PHYS-174 College Physics III-Sp 5 hours Geometrical and physical optics, relativity the01y, quantum theory, and other topics from modern physics. Four lectures and one two– hour laborat01y per week. Prerequisite: PHYS-173 College Physics II or equivalent. (Fee: $50) (even years) PHYS-271 General Physics I-A,Sp 5 hours Basic concepts of linear and rotational motion in three dimensions, oscillat01y motion, gravitation, and fluid mechanics. Four lectures and one two-hour laborat01y each week. Prerequisite: MATH-281,282,283 Analytic GeometlJ' and Calculus I, II, Ill. MATH-283 may be coenrolled with permission o_f'i11stl'llctor. (Fee: $50) PHYS-272 General Physics II-A,W 5 hours Basic concepts ofwave motion, thermodynamics and electricity, and magnetism. Four lectures and one two-hour laborato1y per week. Prerequisite: MATH-281,282,283 Analytic GeometlJ' and Calculus I,JI,111; PHYS-271 General Physics I. (Fee: $50) PHYS-273 General Physics III-W,Sp 5 hours Inte1mediate concepts in electricity and magnetism, light, optics, and a basic introduction to modern physics. Four lectures and one two– hour laboratory per week. Prerequisite: MATH-281,282,283 Analyti– cal Geometl)' and Calrnlus I, II, III; PHYS-272 General Physics II; permission o_f'instmctor. (Fee: $50) PHYS-301,302 Intermediate Physics Lab I,H 2 hours Designed to reinforce concepts of the advanced physics courses and develop critical research and analysis skills. The Intermediate Laboratoty sequence over two quarters provides experience in oscillatory motion and waves, intermediate mechanics, intermediate electricity, intermediate magnetism, thermodynamics, and quantum mechanics. During the two-quarter sequence, laborat01y skills for planning, setup, documentation, and analysis using the scientific method will be emphasized. Prerequisite: PHYS-273 General Physics III; permission o_finstl'llctor. (Fee: $50) PHYS-311 Introduction to Theoretical Mechanics 5 hours Derivation of the motion of a point object through three dimensional space. Topics include an advanced treatment ofNewtonian mechanics in three dimensions, accelerated frames ofreference, central forces, and an introduction to Lagrangian mechanics. Prerequisite: PHYS-273 General Physics III. Corequisite: MATH-387 D([ferential Equations. (odd years) PHYS-331 Thermal Physics 5 hours Study of the relationship between energy and matter tln·ough the use of thermodynamics and statistical mechanics. Topics include: heat, work, entropy, phase transformations, statistical distributions, and kinetic theory. Prerequisite: PHYS-273 General Physics Ill. (odd years) PHYS-352 Electromagnetic Theory I 5 hours Electricity and magnetism from an advanced viewpoint using the methods of vector calculus. Includes electrostatics, Gauss' Law, circuit theo1y, introduct01y electronics, Poisson's equation, Laplace's equation, dielectric media, electric currents, magnetic fields. Prerequi– site: PHYS-273 General Physics III,· MATH-388 Advanced Calculus I. PHYS-378,379 Modern Physics I,II-A,W 5 hours Extension of basic concepts ofmodern physics learned in PHYS- 271, 272, 273 General Physics I, II, III. Topics include strncture of matter, electricity and light, kinetic the01y, x-rays, nuclear reactions, atomic and nuclear strncture, and radioactivity. Prerequisite: PHYS- 273 General Physics. (even years) PHYS-401,402 Advanced Physics Lab I, II 2 hours Advanced laboratory experience designed to reinforce concepts of the advanced physics courses and to develop critical research design, documentation, analysis, and presentation skills. The Advanced Laboratory sequence over two quarters provides additional experi– ence in optical, radiation, wave, advanced mechanics, advanced electromagnetism, advanced thermodynamics, and quantummechan– ics. Laborat01y skills for platming, setup, documentation, analysis, and briefing using the scientific method will be emphasized. Prerequi– site: PHYS-302 Intermediate Physics Laborat01y II a11dpermission of i11stmctor. (Fee: $50) PHYS-451 Optics 5 hours Introduction to the study of classical and modern optics, including the electromagnetic basis of optics, geometric optics, interference, diffraction, dispersion, and holography. Prerequisite: PHYS-273 General Physics III; MATH-388 Advanced Calculus I. PHYS-452 Elech'omagnetic Theory II 5 hours Continuation of PHYS-352. Includes electromagnetic induction, magnetic properties ofmatter, magnetic energy, slowly varying currents, Maxwell's equations and their applications, and introduc– tory electrodynamics. Prerequisite: PHYS-352 Electromagnetic The01yl. PHYS-490 Independent Study in Physics 1-4 hours Independent research in the various branches of physics and allied fields of application. Submission and approval of a research proposal must precede regish·ation. (Fee: $5 per hour) PHYS-491 Mathematical Methods for Physicists-A 5 hours Advanced mathematical methods used in the solution of physics problems. Topics include curvilinear coordinates, vector analysis, and Fourier, Bessel, and Legendre solutions to partial differential equations. Prerequisite: PHYS-311 Theoretical Mechanics or PHYS- 378 Modern Physics I; MATH-387 D(ff'erential Equations; MATH- 388 Advanced Calculus I. '(even years) PHYS-499 Topics in Physics 5 hours Study of topics of interest from modern and classical physics such as quantum theory, relativity, statistical mechanics, lasers, solid state physics, advanced classical mechanics and atmospheric physics. Prerequisite: PHYS-273 General Physics Ill; MATH-388 Advanced Calculus I.