This course covers the classical partial differential equations of mathematical physics: the heat equation, the Laplace equation, and the wave equation. The primary technique covered in the course is separation of variables, which leads to solutions in the form of eigenfunction expansions. The topics include Fourier series, separation of variables, Sturm-Liouville theory, unbounded domains and the Fourier transform, spherical coordinates and Legendres equation, cylindrical coordinates and Bessels equation. The software package Mathematica will be used extensively. Prior knowledge of Mathematica is helpful but not essential. In the last two weeks of the course, there will be a project on an assigned topic. The course will include applications in heat conduction, electrostatics, fluid flow, and acoustics.

Location

Dewey Room 2162 (MWF 11:50AM - 12:40PM)

This course covers the classical partial differential equations of mathematical physics: the heat equation, the Laplace equation, and the wave equation. The primary technique covered in the course is separation of variables, which leads to solutions in the form of eigenfunction expansions. The topics include Fourier series, separation of variables, Sturm-Liouville theory, unbounded domains and the Fourier transform, spherical coordinates and Legendres equation, cylindrical coordinates and Bessels equation. The software package Mathematica will be used extensively. Prior knowledge of Mathematica is helpful but not essential. In the last two weeks of the course, there will be a project on an assigned topic. The course will include applications in heat conduction, electrostatics, fluid flow, and acoustics.

Location

Computer Studies Room 209 (F 3:25PM - 4:40PM)

Review of numerical linear algebra; ODEs and elliptic, parabolic, and hyperbolic PDEs; Finite difference, element, and volume approximations; Direct and iterative methods; Error and stability analysis; Consistency, stability, convergence, and tolerance; Order of accuracy; Truncation and roundoff error; Explicit and implicit methods; One-step and multi-step methods; Euler's method and Heun method; Richardon extrapolation; Predictor-corrector schemes; Gauss-Seidel and Successive-over-relaxation methods; Preconditioning; Conjugate gradient methods; Generalized minimum residual method; Crank-Nicolson method; Alternating direction implicit method; Operator and fractional step splitting; Upwind methods; Flux-vector-splitting method; Lax-Wendroff and Richtmeyer methods; MacCormack methods; BTCS fully implicit method; Systems of coupled PDEs and nonlinear PDEs. Students will practice the methods in homeworks and a final project involving their research.

Location

Lechase Room 148 (TR 9:40AM - 10:55AM)

Understanding energy transport and conversion at the nanoscale requires a detailed picture of interactions among molecules, electrons, phonons, and photons. This course draws on relevant concepts of statistical thermodynamics and solid state physics to describe the physical mechanisms of energy transport and conversion in nanoscale systems. Topics covered include kinetic theory of gases, thermodynamic distribution functions, energy carrier dispersion relations, Boltzmann transport equation modeling of thermal and electrical properties, size effects (classical and quantum) on material properties, and thermoelectric and photovoltaic energy conversion.

Location

Hylan Building Room 102 (TR 11:05AM - 12:20PM)

Basic plasma parameters; quasi-neutrality, Debye length, plasma frequency, plasma parameter, Charged particle motion: orbit theory. Basic plasma equations; derivation of fluid equations from the Vlasov equation. Waves in plasmas. MHD theory. Energy balance.

Location

Hylan Building Room 102 (TR 3:25PM - 4:40PM)

The study of incompressible flow covers fluid motions which are gentle enough that the density of the fluid changes little or none. Topics: Conservation equations. Bernoullis equation, the Navier-Stokes equations. Inviscid flows; vorticity; potential flows; stream functions; complex potentials. Viscosity and Reynolds number; some exact solutions with viscosity; boundary layers; low Reynolds number flows. Waves.

Location

Goergen Hall Room 110 (MW 3:25PM - 4:40PM)

This course provides a thorough grounding on the theory and application of linear finite element analysis in solid mechanics and related disciplines. Topics: structural matrix analysis concepts and computational procedures; shape functions and element formulation methods for 1-D, 2-D problems; variational methods, weighted residual methods and Galerkin techniques; isoparametric elements; error estimation and convergence; global analysis aspects. Term project and homework require computer implementation of 1-D and 2-D finite element procedures using Matlab. Term project not required for ME254

Location

Meliora Room 224 (MW 10:25AM - 11:40AM)

This course focuses teaching the multidisciplinary aspects of designing complex, precise systems. In these systems, aspects from mechanics, optics, electronics, design for manufacturing/assembly, and metrology/qualification must all be considered to design, build, and demonstrate a successful precisionsystem. The goal of this class is to develop a fundamental understanding of multidisciplinary design for designing the next generation of advanced instrumentation.

Location

Morey Room 501 (TR 4:50PM - 6:05PM)

Lecture and laboratory. Lecture: engineering problem solving methodologies and review of basic statistics. Laboratory: dealing with solids/materials instrumentation Students work in groups of three. Graduate students work alone on independent projects.

Location

Gavett Hall Room 244 (M 9:00AM - 10:15AM)

Lecture and laboratory. Lecture: engineering problem solving methodologies and review of basic statistics. Laboratory: dealing with solids/materials instrumentation Students work in groups of three. Graduate students work alone on independent projects.

Location

Rush Rhees Library Room G108 (F 2:00PM - 3:15PM)

Lecture and laboratory. Lecture: engineering problem solving methodologies and review of basic statistics. Laboratory: dealing with solids/materials instrumentation Students work in groups of three. Graduate students work alone on independent projects.

Location

Gavett Hall Room 208 (M 2:00PM - 3:15PM)

Lecture and laboratory. Lecture: engineering problem solving methodologies and review of basic statistics. Laboratory: dealing with solids/materials instrumentation Students work in groups of three. Graduate students work alone on independent projects.

Location

Gavett Hall Room 208 (W 2:00PM - 3:15PM)

Lecture and laboratory. Lecture: engineering problem solving methodologies and review of basic statistics. Laboratory: dealing with solids/materials instrumentation Students work in groups of three. Graduate students work alone on independent projects.

Location

Gavett Hall Room 244 (W 9:00AM - 10:15AM)

Blank Description

Location

Goergen Hall Room 109 (TR 11:05AM - 12:20PM)

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

This course will survey the field of high-energy-density science (HEDS), extending from ultra-dense matter to the radiation-dominated regime. Topics include: experimental and computational methods for the productions, manipulation, and diagnosis of HED matter, thermodynamic equations-of-state; dynamic transitions between equilibrium phases; and radiative and other transport properties. Throughout the course, we will make connections with key HEDS applications in astrophysics, laboratory fusion, and new quantum states of matter

Location

Goergen Hall Room 109 (TR 2:00PM - 3:15PM)

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description

Blank Description