APAM E3105x Programming Methods for Scientists and Engineers 3 pts. Lect: 2.5. Lab: 1. Introduction to modern techniques of computer programming for the numerical solutions to problems in physics, mathematics, and engineering using Fortran 90. Students develop familiarity with basic and advanced concepts of modern numerical programming and acquire practical experience solving representative problems in math and physics.

APMA E2101y Inroduction To Applied Mathematics 3 pts. Lect: 3. Prerequisites: Calculus III. A unified, single-semester introduction to differential equations and linear algebra with emphases on (1) elementary analytical and numerical technique and (2) discovering the analogs on the continuous and discrete sides of the mathematics of linear operators: superposition, diagonalization, fundamental solutions. Concepts are illustrated with applications using the language of engineering, the natural sciences, and the social sciences. Students execute scripts in Mathematica and MATLAB (or the like) to illustrate and visualize course concepts (programming not required).

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APMA E2101
APMA 2101	18397 001	TuTh 1:10p - 2:25p TBA	D. Keyes	0

APMA E3101x Linear Algebra Lect:3. 3 pts. Matrix algebra, elementary matrices, inverses, rank, determinants. Computational aspects of solving systems of linear equations: existence-uniqueness of solutions, Gaussian elimination, scaling, ill-conditioned systems, iterative techniques. Vector spaces, bases, dimension. Eigenvalue problems, diagonalization, inner products, unitary matrices.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E3101
APMA 3101	23750 001	TuTh 11:00a - 12:15p 337 Seeley W. Mudd Building	M. Spiegelman	38

APMA E3102y Partial Differential Equations 3 pts. Lect: 3. Prerequisite: MATH E1210 or the equivalent. Introduction to partial differential equations; integral theorems of vector calculus. Partial differential equations of engineering in rectangular, cylindrical, and spherical coordinates. Separation of the variables. Characteristic-value problems. Bessel functions, Legendre polynomials, other orthogonal functions; their use in boundary value problems. Illustrative examples from the fields of electromagnetic theory, vibrations, heat flow, and fluid mechanics.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APMA E3102
APMA 3102	21347 001	TuTh 11:00a - 12:15p TBA	M. Courdurier	0

APAM E3105x Programming methods for scientists and engineers 3 pts. Lect: 2.5 Lab: 1Not offered in 2008-2009. Introduction to modern techniques of computer programming for the numerical solutions to familiarity with basic and advanced concepts of modern numerical programming and acquire practical experience solving representative problems in math and physics.

APMA E3900x and y Undergraduate Research In Applied Mathematics 0 to 4 pts. This course may be repeated for credit, but no more than 6 points of this course may be counted toward the satisfaction of the B.S. degree requirements. Candidates for the B.S. degree may conduct an investigation in applied mathematics or carry out a special project under the supervision of the staff. Credit for the course is contingent upon the submission of an acceptable thesis or final report.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E3900
APMA 3900	54698 001	TBA	G. Bal	0
APMA 3900	64696 002	TBA	C. Chu	0
APMA 3900	50287 003	TBA	D. Keyes	0
APMA 3900	51784 004	TBA	L. Polvani	0
APMA 3900	53291 005	TBA	A. Sobel	0
APMA 3900	55288 006	TBA	M. Spiegelman	0
APMA 3900	56538 007	TBA	M. Weinstein	0
APMA 3900	58784 008	TBA	C. Wiggins	0
APMA 3900	60541 009	TBA	M. Cane	0

APMA E4001y Principles of Applied Mathematics Lect: 3. 3 pts. Prerequisites: Introductory Linear Algebra required. Ordinary Differential Equations recommended. Review of finite-dimensional vector spaces and elementary matrix theory. Linear transformations, change of basis, eigenspaces. Matrix representation of linear operators and diagonalization. Applications to difference equations, Markov processes, ordinary differential equations, and stability of nonlinear dynamical systems. Inner product spaces, projection operators, orthogonal bases, Gram-Schmidt orthogonalization. Least squares method, pseudo-inverses, singular value decomposition. Adjoint operators, Hermitian and unitary operators, Fredholm Alternative Theorem. Fourier series and eigenfunction expansions. Introduction to the theory of distributions and the Fourier Integral Transform. Green's functions. Application to Partial Differential Equations.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APMA E4001
APMA 4001	22347 001	Tu 6:50p - 9:20p TBA	R. Schmitt	0

APMA E4101x Introduction to Dynamical Systems 3 pts. Lect: 3. Prerequisites: APMA E2101 (or MATH V1210) and APMA E3101 or their equivalents, or permission of the instructor. An introduction to the analytic and geometric theory of dynamical systems; basic existence, uniqueness and parameter dependence of solutions to ordinary differential equations; constant coefficient and parametrically forced systems; Fundamental solutions; resonance; limit points, limit cycles and classification of flows in the plane (Poincare-Bendixson Theorem); conservative and dissipative systems; linear and nonlinear stability analysis of equilibria and periodic solutions; stable and unstable manifolds; bifurcations, e.g. Andronov-Hopf; sensitive dependence and chaotic dynamics; selected applications.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E4101
APMA 4101	26899 001	TuTh 9:10a - 10:25a 833 Seeley W. Mudd Building	M. Weinstein	54

APPH E4130y Physics of solar energy 3 pts. Lect: 3. Prerequisites: general physics (PHYS C1403 or C1602) and mathematics including ordinary differential equations and complex numbers (such as MATH V1202 or E1210) or permission of the instructor. The physics of solar energy including solar radiation, the analemma, atmospheric efforts, thermodynamics of solar energy, physics of solar cells, energy storage and transmission, and physics and economics in the solar era.

APMA E4150x Applied functional analysis 3 pts. Prerequisites: Advanced calculus and a course in basic analysis, or instructor's approval. Introduction to modern tools in functional analysis that are used in the analysis of deterministic and stochastic partial differential equations and in the analysis of numerical methods: metric and normed spaces, Banach space of continuous functions, measurable spaces, the contraction mapping theorem, Banach and Hilbert spaces bounded linear operators on Hilbert spaces and their spectral decomposition, and time permitting distributions and Fourier transforms.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E4150
APMA 4150	27698 001	MW 9:10a - 10:25a 535 Seeley W. Mudd Building	M. Courdurier	10

APMA E4200x Partial Differential Equations 3 pts. Lect: 3. Prerequisite: a course in ordinary differential equations. Techniques of solution of partial differential equations. Separation of the variables. Orthogonality and characteristic functions, nonhomogeneous boundary value problems. Solutions in orthogonal curvilinear coordinate systems. Applications of Fourier integrals, Fourier and Laplace transforms. Problems from the fields of vibrations, heat conduction, electricity, fluid dynamics, and wave propagation are considered.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E4200
APMA 4200	28443 001	M 6:50p - 9:20p 209 Havemeyer Hall	A. Sobel	69

APMA E4204x Functions of a Complex Variable 3 pts. Lect. 3. Prerequisite: MATH V1202 or the equivalent. Complex numbers, functions of a complex variable, differentiation and integration in the complex plane. Analytic functions, Cauchy integral theorem and formula, Taylor and Laurent series, poles and residues, branch points, evaluation of contour integrals. Conformal mapping. Schwarz-Christoffel transformation. Applications to physical problems.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E4204
APMA 4204	47194 001	M 4:10p - 6:40p 517 Hamilton Hall	L. Polvani	43

APMA E4300y Introduction to Numerical Methods 3 pts. Lect: 3. Prerequisites: MATH V1201, MATH E1210, and APMA E3101 or their equivalents. Some programming experience and Matlab will be extremely useful. Introduction to fundamental algorithms and analysis of numerical methods commonly used by scientists, mathematicians and engineers. This course is designed to give a fundamental understanding of the building blocks of scientific computing that will be used in more advanced courses in scientific computing and numerical methods for PDE's. Topics include numerical solutions of algebraic systems, linear least-squares, eigenvalue problems, solution of non-linear systems, optimization, interpolation, numerical integration and differentiation, initial value problems and boundary value problems for systems of ODE's. All programming exercises will be in Matlab.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APMA E4300
APMA 4300	23446 001	TuTh 1:10p - 2:25p TBA	M. Spiegelman	0 / 95

APMA E4301x Numerical Methods for Partial Differential Equations 3 pts. Lect: 3. Prerequisites: APMA E4300 and APMA E3102 or APMA E4200 or equivalents. Numerical solution of partial differential equations (PDE) arising in various physical fields of application. Finite difference, finite element, and spectral methods. Elementary finite volume methods for conservation laws. Time stepping, method of lines, and simultaneous space-time discretization. Direct and iterative methods for boundary-value problems. Applied numerical analysis of PDE, including sources of numerical error and notions of convergence and stability, to an extent necessary for successful numerical modeling of physical phenomena. Applications will include the Poisson equation, heat equation, wave equation, and nonlinear equations of fluid, solid, and gas dynamics. Homework assignments will involve substantial programming.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E4301
APMA 4301	68441 001	W 4:10p - 6:40p 1024 Seeley W. Mudd Building	D. Keyes	31

AMCS E4302x Parallel Scientific Computing 3 pts. Lect: 3.Not offered in 2008-2009. Prerequisites: APMA E3101, APMA E3102, and APMA E4300, or their equivalents. Corequisites: APMA E4301, and programming ability in C/C++ or FORTRAN/F90. An introduction to the concepts, the hardware and software environments, and selected algorithms and applications of parallel scientific computing, with an emphasis on tightly coupled computations that are capable of scaling to thousands of processors. Includes high-level descriptions of motivating applications and low-level details of implementation, in order to expose the algorithmic kernels and the shifting balances of computation and communication between them. Students run demonstration codes provided on a Linux cluster. Modest programming assignments using MPI and PETSc culminate in an independent project leading to an in-class report.

APMA E4400y Introduction To Biophysical Modeling 3 pts. Lect: 3. Prerequisites: PHYS W1401 or equivalent, and APMA E2101 or MATH E1210 or equivalent. Introduction to physical and mathematical models of cellular and molecular biology. Physics at the cellular scale (viscosity, heat, diffusion, statistical mechanics). RNA transcription and regulation of genetic expression. Genetic and biochemical networks. Bioinformatics as applied to reverse-engineering of naturally-occurring networks and to forward-engineering of synthetic biological networks. Mathematical and physical aspects of functional genomics.

APMA E4903x Seminar: Problems In Applied Mathematics 3 or 4 pts. Lect: 1. Tutorial: 2. This course is required for all applied mathematics majors in the senior year. Prerequisites or corequisites: APMA E4200 and E4204 or their equivalents. For 4 pts. credit, term paper required. Examples of problem areas are nonlinear dynamics, asymptotics, approximation theory, numerical methods, etc. Approximately three problem areas are studied per term.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E4903
APMA 4903	62031 001	M 11:00a - 11:50a 227 Seeley W. Mudd Building W 11:00a - 12:50p 633 Seeley W. Mudd Bu	C. Wiggins	30

APMA E4990x and y Special Topics In Applied Mathematics 1-3 pts. Lect: 3. Prerequisites: Advanced calculus and junior year applied mathematics, or their equivalents. This course may be repeated for credit. Topics and instructors from the Applied Mathematics Committee and the staff change from year to year. For advanced undergraduate students and graduate students in engineering, physical sciences, biological sciences, and other fields.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E4990
APMA 4990	56854 001	TBA	Instructor To Be Announced	0
Spring 2009 :: APMA E4990
APMA 4990	28247 001	TBA	M. Adams W. Lee	0

APMA E6209x Approximation Theory 3 pts. Lect: 2.Not offered in 2008-2009. Prerequisite: MATH W4061 or some knowledge of modern analysis. Theory and application of approximate methods of analysis from the viewpoint of functional analysis. Approximate numerical and analytical treatment of linear and nonlinear algebraic, differential, and integral equations. Topics include function spaces, operators in normed and metric spaces, fixed point theorems and their applications.

APMA E6301y Analytic Methods for Partial Differential Equations 3 pts. Lect: 2. Prerequisites: Advanced calculus, basic concepts in analysis, APMA E3101 and E4200 or their equivalents, or permission of the instructor. Introduction to analytic theory of PDEs of fundamental and applied science; wave (hyperbolic), Laplace and Poisson equations (elliptic), heat (parabolic) and Schroedinger (dispersive) equations; fundamental solutions, Green's functions, weak/distribution solutions, maximum principle, energy estimates, variational methods, method of characteristics; elementary functional analysis and applications to PDEs; introduction to nonlinear PDEs, shocks; selected applications.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APMA E6301
APMA 6301	13013 001	M 4:10p - 6:40p TBA	M. Weinstein	0

APMA E6302x Numerical Analysis of Partial Differential Equations 3 pts. Lect: 2. Prerequisite: APMA E3102 or E4200. Numerical analysis of initial and boundary value problems for partial differential equations. Convergence and stability of the finite difference method, the spectral method, the finite element method and applications to elliptic, parabolic, and hyperbolic equations.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E6302
APMA 6302	41549 001	MW 11:00a - 12:15p 545 Seeley W. Mudd Building	G. Bal	2

APMA E6304y Integral Transforms 3 pts. Lect: 2.Not offered in 2008-2009. Prerequisites: APMA E4204 and MATH E1210, or their equivalents. Laplace, Fourier, Hankel, and Mellin transforms. Selection of suitable transform for a given partial differential equation boundary value problem. Operational properties of transforms. Inversion theorems. Approximate evaluation of inversion integrals for small and large values of parameter. Application to the solution of integral equations.

APMA E6901x and y Special Topics In Applied Mathematics 3 pts. Lect: 3. Prerequisites: advanced calculus and junior year applied mathematics, or their equivalents. This course may be repeated for credit. Topics and instructors from the Applied Mathematics Committee and the staff change from year to year. For students in engineering, physical sciences, biological sciences, and other fields.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E6901
APMA 6901	76162 001	TuTh 11:00a - 12:15p 233 Seeley W. Mudd Building	I. Langmore	3

APMA E8308y Asymptotic Methods In Applied Mathematics 3 pts. Lect: 2. Prerequisites: APMA E4204 or the equivalent. Asymptotic treatment of ordinary and partial differential equations in problems arising in applied mathematics. Asymptotic series. Asymptotic evaluation of integrals. Expansion of solutions of ordinary differential equations: connection problem and turning points. Stoke's phenomenon. Differential equations with a parameter: "boundary layer" phenomenon. Application to partial differential equations: problems from fluid dynamics, wave propagation theory, electromagnetic theory.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APMA E8308
APMA 8308	27195 001	Tu 4:10p - 6:40p TBA	L. Polvani	0

APMA E9101x-E9102y Research 1-4 pts. Prerequisite: the permission of the supervising faculty member. This course may be repeated. Advanced study in a special area.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E9101
APMA 9101	53302 001	TBA	G. Bal	1
APMA 9101	53605 002	TBA	C. Chu	0
APMA 9101	55909 003	TBA	D. Keyes	1
APMA 9101	56256 004	TBA	L. Polvani	0
APMA 9101	56506 005	TBA	A. Sobel	0
APMA 9101	56904 006	TBA	M. Spiegelman	0
APMA 9101	57152 007	TBA	M. Weinstein	0
APMA 9101	57506 008	TBA	C. Wiggins	0

APMA E9810x or y Mathematical Earth Science Seminar 0 pts. Lect: 1. Prerequisites: Instructor's permission. Current research in problems at the interface between applied mathematics and earth and environmental sciences.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APMA E9810
APMA 9810	61246 001	Th 2:45p - 3:45p 825 Seeley W. Mudd Building	L. Polvani	3
Spring 2009 :: APMA E9810
APMA 9810	23324 001	Th 2:45p - 3:50p TBA	Instructor To Be Announced	0

APMA E9815x or y Geophysical Fluid Dynamics Seminar 1-3 pts. May be repeated for up to 10 points of credit. Prerequisites: Instructor's permission. Problems in the dynamics of geophysical fluid flows.

APPH E1300y Physics of the Human Body 3 pts. Lect: 3. Prerequisites: PHYS C1201 or C1401, and Calculus I; corequisites: PHYS C1202 or C1402, and Calculus II. This introductory course analyzes the human body from the basic principles of physics. Topics to be covered include the energy balance in the body, the mechanics of motion, fluid dynamics of the heart and circulation, vibrations in speaking and hearing, muscle mechanics, gas exchange and transport in the lungs, vision, structural properties and limits, electrical properties and the development and sensing of magnetic fields, and the basics of equilibrium and regulatory control. In each case, a simple model of the body organ, property, or function will be derived and then applied. The course is approved as a SEAS technical elective.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APPH E1300
APPH 1300	62148 001	TuTh 2:40p - 3:55p TBA	I. Herman	0

APAM E1601y Introduction To Computational Mathematics and Physics 3 pts. Lect: 3.Not offered in 2008-2009. Introduction to computational methods in applied mathematics and physics. Students develop solutions in a small number of subject areas to acquire experience in the practical use of computers to solve mathematics and physics problems. Topics change from year to year. Examples include elementary interpolation of functions, solution of nonlinear algebraic equations, curve-fitting and hypothesis testing, wave propagation, fluid motion, gravitational and celestial mechanics, and chaotic dynamics. The basic requirement for this course is one year of college-level calculus and physics; programming experience is not required.

APPH E3100y Introduction To Quantum Mechanics 3 pts. Lect: 3. Prerequisites: PHYS C1403 or the equivalent, and differential and integral calculus. Corequisites: APMA E3101 or equivalent. Basic concepts and assumptions of quantum mechanics, Schrodinger's equation, solutions for one-dimensional problems including square wells, barriers and the harmonic oscillator, introduction to the hydrogen atom, atomic physics and x-rays, electron spin.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APPH E3100
APPH 3100	63198 001	MW 1:10p - 2:25p TBA	T. Pedersen	0

APPH E3300y Applied Electromagnetism 3 pts. Lect: 3. Corequisites: APMA E3102. Vector analysis, electrostatic fields, Laplace's equation, multipole expansions, electric fields in matter: dielectrics, magnetostatic fields, magnetic materials, and superconductors. Applications of electromagnetism to devices and research areas in applied physics.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APPH E3300
APPH 3300	66447 001	MW 11:00a - 12:15p TBA	L. Venkataranam	0

APPH E3900x and y Undergraduate Research In Applied Physics 0 to 4 pts. This course may be repeated for credit, but no more than 6 points of this course may be counted toward the satisfaction of the B.S. degree requirements. Candidates for the B.S. degree may conduct an investigation in applied physics or carry out a special project under the supervision of the staff. Credit for the course is contingent upon the submission of an acceptable thesis or final report.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APPH E3900
APPH 3900	90896 001	TBA	L. Venkataranam	0
APPH 3900	40852 002	TBA	I. Herman	0
APPH 3900	41204 003	TBA	M. Mauel	0
APPH 3900	41506 004	TBA	G. Navratil	0
APPH 3900	41803 005	TBA	T. Pedersen	0
APPH 3900	42103 006	TBA	A. Pinczuk	0
APPH 3900	42502 007	TBA	H. Stormer	0
APPH 3900	61534 008	TBA	A. Boozer	0

APPH E4010x Introduction To Nuclear Science 3 pts. Prerequisites: MATH V1202 and E1210 and PHYS C1403 or their equivalents. This introductory course is for individuals with an interest in medical physics and other branches of radiation science. Topics covered include: basic concepts, nuclear models, semi-empirical mass formula, interaction of radiation with matter, nuclear detectors, nuclear structure and instability, radioactive decay process and radiation, particle accelerators, and fission and fusion processes and technologies.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APPH E4010
APPH 4010	91596 001	Tu 5:00p - 7:30p 214 Seeley W. Mudd Building	S. Ostrow	17

APPH E4018y Applied Physics Laboratory 2 pts. Lab: 4. Prerequisite: ELEN E3401 or the equivalent. Typical experiments are in the areas of plasma physics, microwaves, laser applications, optical spectroscopy physics, and superconductivity.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APPH E4018
APPH 4018	67247 001	TBA	M. Mauel	0

APPH E4090x Nanotechnology 3 pts. Lect: 3. Offered in alternate years.Not offered in 2008-2009. Prerequisites: APPH E3100 and MSAE E3103 or their equivalents with instructor's permission. The science and engineering of creating materials, functional structures and devices on the nanometer scale. Carbon nanotubes, nanocrystals, quantum dots, size dependent properties, self-assembly, nanostructured materials. Devices and applications, nanofabrication. Molecular engineering, bionanotechnology. Imaging and manipulating at the atomic scale. Nanotechnology in society and industry.

APPH E4100x Quantum Physics of Matter 3 pts. Lect: 3. Prerequisites: APPH E3100. Corequisites: APMA E3102 or equivalent. Basic theory of quantum mechanics, well and barrier problems, the harmonic oscillator, angular momentum identical particles, quantum statistics, perturbation theory and applications to the quantum physics of atoms, molecules, and solids.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APPH E4100
APPH 4100	92847 001	TuTh 10:35a - 11:50a 644 Seeley W. Mudd Building	L. Venkataranam	16

APPH E4110x Modern Optics 3 pts. Lect: 3.Not offered in 2008-2009. Prerequisites: APPH E3300. Ray optics, matrix formulation, wave effects, interference, Gaussian beams, Fourier optics, diffraction, image formation, electromagnetic theory of light, polarization and crystal optics, coherence, guided wave and fiber optics, optical elements, photons, selected topics in nonlinear optics.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APPH E4110
APPH 4110	96699 001	MW 9:10a - 10:25a 644 Seeley W. Mudd Building	I. Herman	13

APPH E4112y Laser Physics 3 pts.Not offered in 2008-2009. Prerequisites: Recommended but not required: APPH E3100 and APPH E3300 or their equivalents. Optical resonators, interaction of radiation and atomic systems, theory of laser oscillation, specific laser systems, rate processes, modulation, detection, harmonic generation, and applications.

CHAP E4120x Statistical Mechanics 3 pts. Lect: 3. Prerequisite: CHEN E3210 or equivalent thermodynamics course, or the instructor's permission. Fundamental principles and underlying assumptions of statistical mechanics. Boltzmann's entropy hypothesis and its restatement in terms of Helmholtz and Gibbs free energies and for open systems. Correlation times and lengths. Exploration of phase space and observation timescale. Correlation functions. Fermi-Dirac and Bose-Einstein statistics. Fluctuation-response theory. Applications to ideal gases, interfaces, liquid crystals, microemulsions and other complex fluids, polymers, Coulomb gas, interactions between charged polymers and charged interfaces, ordering transitions.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: CHAP E4120
CHAP 4120	81897 001	Tu 10:30a - 1:00p 1024 Seeley W. Mudd Building	B. O'Shaughnessy	17

APPH E4200x Physics of Fluids 3 pts. Prerequisite: APMA E3102 or equivalent; PHYS 1401 or 1601 or equivalent. An introduction to the physical behavior of fluids for science and engineering students. Derivation of basic equations of fluid dynamics: conservation of mass, momentum, and energy. Dimensional analysis. Vorticity. Laminar boundary layers. Potential flow. Effects of compressibility, stratification, and rotation. Waves on a free surface; shallow water equations. Turbulence.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APPH E4200
APPH 4200	97397 001	TuTh 1:10p - 2:25p 1024 Seeley W. Mudd Building	M. Mauel	20

APPH E4210y Geophysical Fluid Dynamics 3 pts. Lect. 3. Prerequisites: APMA E3101, APMA E3102 (or equivalents) and APPH E4200 (or equivalent), or permission from instructor. Fundamental concepts in the dynamics of rotating, stratified flows. Geostrophic and hydrostatic balances, potential vorticity, f and beta plane approxima-tions, gravity and Rossby waves, geostrophic adjustment and quasigeostrophy, baroclinic and barotropic instabilities, Sverdrup balance, boundary currents, Ekman layers.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APPH E4210
APPH 4210	92081 001	Th 4:10p - 6:40p TBA	S. Khatiwala	0

APPH E4300x Applied Electrodynamics 3 pts. Lect: 3. Prerequisites: APPH E3300. Overview of properties and interactions of static electric and magnetic fields. Study of phenomena of time dependent electric and magnetic fields including induction, waves, and radiation as well as special relativity. Applications are emphasized.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APPH E4300
APPH 4300	98299 001	MW 2:40p - 3:55p 545 Seeley W. Mudd Building	A. Boozer	18

APPH E4301y Introduction To Plasma Physics 3 pts. Lect: 3. Prerequisites: PHYS W3008 or APPH E3300. Definition of a plasma. Plasmas in laboratories and nature, plasma production. Motion of charged particles in electric and magnetic fields, adiabatic invariants. Heuristic treatment of collisions, diffusion, transport, and resistivity. Plasma as a conducting fluid. Electrostatic and magnetostatic equilibria of plasmas. Waves in cold plasmas. Demonstration of laboratory plasma behavior, measurement of plasma properties. Illustrative problems in fusion, space, and nonneutral or beam plasmas.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APPH E4301
APPH 4301	72649 001	MW 2:40p - 3:55p TBA	D. Maurer	0

APPH E4500y Health Physics 3 pts. Lect: 3. Prerequisites: APPH E4600 or Corequisites: APPH E4600 This course presents the fundamental principles of health physics: the physics of dose deposition, radiation dosimetry, elementary shielding and radiation protection devices, description and proper use (calibration and maintenance) of health physics instrumentation, and the regulatory and administrative requirements of health physics programs.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APPH E4500
APPH 4500	76530 001	Th 6:00p - 8:30p 825 Seeley W. Mudd Building	E. Christman	7

APPH E4550y Medical Physics Seminar 0 pts. Lect: 1. Required for all graduate students in the medical physics program. Practicing professionals and faculty in the field present selected topics in medical physics.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Spring 2009 :: APPH E4550
APPH 4550	68147 001	Th 4:10p - 5:15p TBA	J. Arbo	0

APPH E4600x Fundamentals of Radiological Physics and Radiation Dosimetry 2 pts. Lect: 2. Prerequisites: APPH E4010 or Corequisites: APPH E4010. Basic radiation physics: radioactive decay, radiation producing devices, characteristics of the different types of radiation (photons, charged and uncharged particles) and mechanisms of their interactions with materials. Essentials of the determination, by measurement and calculation, of absorbed doses from ionizing radiation sources used in medical physics (clinical) situations and for health physics purposes.

Course Number	Call Number/ Section	Days & Times/ Location	Instructor	Enrollment
Autumn 2008 :: APPH E4600
APPH 4600	80029 001	Th 4:10p - 5:50p 627 Seeley W. Mudd Building	J. Meli	9

APBM E4650y Anatomy for Physicists and Engineers 3 pts. Prerequisites: Engineering or physics background A systemic approach to the study of the human body from a medical imaging point of view: skeletal, respiratory, cardiovascular, digestive, and urinary systems, breast and women's issues, head and neck, and central nervous system. Lectures are reinforced by examples from clinical two- and three-dimensional and functional imaging (CT, MRI, PET, SPECT, U/S, etc.).