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 Legendre’s equation, cylindrical coordinates and Bessel’s 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.

BUILDING: DEWEY | ROOM: 2162

PREREQUISITES: MTH 164 and MTH 165

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BUILDING: DEWEY | ROOM: 2162

DEFINITION AND PURSUIT OF "QUALITY" AS A DESIGN CRITERION. THE CONCEPT OF ROBUST DESIGN. SELECTION OF THE QUALITY CHARACTERISITIC, INCORPORATION OF NOISE, AND EXPERIMENTAL DESIGN TO IMPROVE ROBUSTNESS. ANALYSIS AND INTERPRETATION OF RESULTS.

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PREREQUISITES: MTH 164 or Equivalent

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.

BUILDING: HYLAN | ROOM: 306

PREREQUISITES: PHY 217 or OPT 262

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. Bernoulli's 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.

BUILDING: HYLAN | ROOM: 206

PREREQUISITES: ME 225, ME 201 or MTH 281

This is an introduction to turbulence theory and modeling for graduate students in engineering and the physical sciences. This course stresses intuitive physical understanding, mathematical analysis techniques,and numerical methodologies. It will highlight applications in various disciplines, including aeronautics,fusion sciences, geophysics and astrophysics.

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PREREQUISITES: ME 225, ME 201, ME 400

This course provides a thorough grounding on the theory and application of linear steady-state finite element method (FEM) applied to solid mechanics. Topics include: review of matrix algebra and solid mechanics, Principle of Minimum Potential Energy, Rayleigh Ritz Method, FEM computational procedures, isoparametric shape functions and numerical integration for 1D, 2D, and 3D elements, error estimation and convergence, and the demonstration of FEM best practices using a commercial FEM code. A semester project that involves coding FEM software in Matlab is required for graduate students.

BUILDING: HYLAN | ROOM: 105

PREREQUISITES: MTH 164 & MTH 165,ME 226 and ability to program in MATLAB.

Course Description: The mechanics of continuous media. The basic notations and concepts in applied mechanics will be covered. These concepts are the foundation for both solid and fluid mechanics and applications in both of these areas will be used as examples. The course will include 1) indicial notation and tensor analysis, 2) concepts of stress, 3) both Eulerian and Lagrangian descriptions of deformation and strain, 4) conservation of mass, momentum, energy, and 5) constitutive equations to describe material response.

BUILDING: LCHAS | ROOM: 161

PREREQUISITES: Basic ordinary and partial differential equations, linear algebra, undergraduate fluid mechanics (ME225) and solid mechanics (ME226).

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 precision system. The goal of this class is to develop a fundamental understanding of multidisciplinary design for designing the next generation of advanced instrumentation. This course open to graduate students in engineering and physics backgrounds although it has a strong emphasis on mechanical engineering and systems engineering topics. This course is open to undergraduates who are in their senior year.

BUILDING: MOREY | ROOM: 501

In this course, you will apply previously learned theoretical concepts to practical problems and applications. In addition, you will learn experimental techniques and enhance your technical writing skills. This course has two parts, a series of small laboratory exercises and a project. During the semester, students will work in groups of three to complete the assigned work, labs, and reports. The lab section of the course is designed to present basic applied concepts that will be useful to a broad base of engineering problems. The project portion is where you will work on a more specific idea, tailored around your desired future goals.

BUILDING: GAVET | ROOM: 244

PREREQUISITES: ME280, ME226, MTH161,162 and CHM 131

In this course, you will apply previously learned theoretical concepts to practical problems and applications. In addition, you will learn experimental techniques and enhance your technical writing skills. This course has two parts, a series of small laboratory exercises and a project. During the semester, students will work in groups of three to complete the assigned work, labs, and reports. The lab section of the course is designed to present basic applied concepts that will be useful to a broad base of engineering problems. The project portion is where you will work on a more specific idea, tailored around your desired future goals.

BUILDING: GAVET | ROOM: 244

PREREQUISITES: ME280, ME226, MTH161,162 and CHM 131

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BUILDING: GAVET | ROOM: 208

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BUILDING: GAVET | ROOM: 208

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BUILDING: GAVET | ROOM: 208

In this course, we will survey the role of mechanics in cells, tissues, organs and organisms. A particular emphasis will be placed on the mechanics of the musculoskeletal system, the circulatory system and the eye. Engineering concepts will be used to understand how physical forces contribute to biological processes, especially disease and healing. Experimental and modeling techniques for characterizing the complex mechanical response of biosolids will be discussed in detail, and the continuum mechanics approach will highlighted.

BUILDING: GRGEN | ROOM: 109

PREREQUISITES: ME 226, BME 201 & 201P (or ME 120)

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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.

BUILDING: LCHAS | ROOM: 121

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