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PHYSICS 280: Introduction to Mathematical Physics and Engineering
2.00 Credits
Hope College
Mathematical methods applicable to physical systems are studied. These include effective use of MAPLE, modeling with ordinary differential equations, vector calculus, Fourier Analysis, and common differential equations. Special attention is given to physical examples from multiple areas to show the generality of the techniques. Corequisite: Mathematics 232. Two Credits DeYoung Spring Semester
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PHYSICS 280 - Introduction to Mathematical Physics and Engineering
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PHYSICS 281: Intermediate Laboratory
3.00 Credits
Hope College
This course focuses on developing experimental skills. These include experiment planning, research, analysis, error propagation, writing, and presenting. A series of short exercises are done first to develop the background in these areas and then experiments are done where these skills must be correctly applied. Typical laboratory experiments will include the Cavendish experiment, index of refraction of a gas with an interferometer, and determining the ellipticity of a large outdoor courtyard. Prerequisite: Physics 270. Two Credits Remillard Fall Semester
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PHYSICS 281 - Intermediate Laboratory
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PHYSICS 290: Independent Studies
2.00 Credits
Hope College
With departmental approval freshmen or sophomores may engage in independent studies at a level appropriate to their ability and class standing, in order to enhance their understanding of physics. Students may enroll each semester. Permission of the instructor is required. One or Two Credits Mader Both Semesters
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PHYSICS 290 - Independent Studies
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PHYSICS 295: Studies in Physics
2.00 - 4.00 Credits
Hope College
A lecture and/or laboratory course in a physics area of current interest. Two to Four Credits Mader Both Semesters
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PHYSICS 295 - Studies in Physics
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PHYSICS 342: Electricity and Magnetism
3.00 Credits
Hope College
A course in classical electromagnetism with the development and application of Maxwell's equations as the central focus. Topics include electromagnetic fields, boundary value problems, dielectric and magnetic materials, radiation, and energy and momentum of the electromagnetic field. Prerequisites: Physics 280 and Mathematics 232. Four Credits Remillard Spring Semester
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PHYSICS 342 - Electricity and Magnetism
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PHYSICS 352: Optics
3.00 Credits
Hope College
Topics covered concern both geometrical and physical optics. The approach involves matrix formulation, computer formulation, Fourier analysis as it relates to Fresnel and Frauenhofer diffraction, interference, polarization matrices and holography. The relevance of these topics to modern day optical information processing and physical devices is considered. Prerequisite: Physics 280. Alternate years. Three Credits DeYoung Spring Semester, Even Years
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PHYSICS 352 - Optics
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PHYSICS 361: Analytical Mechanics
3.00 Credits
Hope College
This course covers Newtonian mechanics, linear and nonlinear oscillations, calculus of variations, Lagrangian and Hamiltonian dynamics, and motion in noninertial frames of reference. The course builds upon the topics covered in general physics and makes extensive use of the methods learned in Introduction to Mathematical Physics. The course acquaints students with mathematical and computer techniques in solving complex problems. These more formal methods empower students with skills necessary to make the transition from introductory to advanced physics and engineering. Prerequisites: Physics 280, Mathematics 232 and programming competence. Four Credits Hampton Fall Semester
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PHYSICS 361 - Analytical Mechanics
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PHYSICS 362: States of Matter
3.00 Credits
Hope College
The prominent states of matter are examined from classical and quantum mechanical points of view. An overview of thermodynamics and statistical mechanics is given. Effects of Bose-Einstein and Fermi-Dirac statistics are detailed for gases, liquids and solids. Slightly degenerate perfect gases, electrons in metals and Bose-condensation, viewed as a first order phase transition, are discussed. Applications are made to such systems as plasmas, semiconductors, white dwarfs, and neutron stars. Special emphasis is given to superfluids, superconductors, and the Josephson effect. Alternate years. Corequisite: Physics 280. Prerequisites: Physics 270 and Mathematics 232. Four Credits Gonthier Spring Semester, Odd Years
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PHYSICS 362 - States of Matter
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PHYSICS 372: Quantum Theory
3.00 Credits
Hope College
A detailed study of the mathematical and physical foundations of quantum mechanics. Topics include the Schroedinger wave equation, one-dimensional potentials, operator methods in quantum mechanics, the Heisenberg representation of operators, the three-dimensional Schroedinger equation, angular momentum, the hydrogen and helium atoms, matrix methods in quantum mechanics, time independent and time dependent perturbation theory, radiation of atoms, and scattering theory. Prerequisites: Physics 270, 280 and Mathematics 232. Alternate years. Four Credits Gonthier Fall Semester, Odd Years
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PHYSICS 372 - Quantum Theory
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PHYSICS 380: Mathematical Physics and Engineering II
3.00 Credits
Hope College
This is a continuation of Physics 280, Introduction to Mathematical Methods in Physics and Engineering. Additional mathematical methods, primarily for physics, are considered, including complex analysis, numerical methods, probability and statistics, additional special functions, and more partial differential equations. Prerequisite: Physics 280. Two Credits DeYoung Fall Semester
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PHYSICS 380 - Mathematical Physics and Engineering II
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